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Gottlob Frege

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719:(1840–1905; physicist, mathematician, and inventor). Abbe gave lectures on theory of gravity, galvanism and electrodynamics, complex analysis theory of functions of a complex variable, applications of physics, selected divisions of mechanics, and mechanics of solids. Abbe was more than a teacher to Frege: he was a trusted friend, and, as director of the optical manufacturer Carl Zeiss AG, he was in a position to advance Frege's career. After Frege's graduation, they came into closer correspondence. 885:, but iterations of these operations, especially "some" and "all", were little understood: even the distinction between a sentence like "every boy loves some girl" and "some girl is loved by every boy" could be represented only very artificially, whereas Frege's formalism had no difficulty expressing the different readings of "every boy loves some girl who loves some boy who loves some girl" and similar sentences, in complete parallel with his treatment of, say, "every boy is foolish". 3184: 1240: 4387: 4397: 47: 1869: 653:). His father Carl (Karl) Alexander Frege (1809–1866) was the co-founder and headmaster of a girls' high school until his death. After Carl's death, the school was led by Frege's mother Auguste Wilhelmine Sophie Frege (née Bialloblotzky, 12 January 1815 – 14 October 1898); her mother was Auguste Amalia Maria Ballhorn, a descendant of 1324:
or "What objects do number-words ('one', 'two', etc.) refer to?" But in pursuing these matters, he eventually found himself analysing and explaining what meaning is, and thus came to several conclusions that proved highly consequential for the subsequent course of analytic philosophy and the philosophy of language.
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One of Frege's stated purposes was to isolate genuinely logical principles of inference, so that in the proper representation of mathematical proof, one would at no point appeal to "intuition". If there was an intuitive element, it was to be isolated and represented separately as an axiom: from there
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his political opinions became more radical. In the last year of his life, at the age of 76, his diary contained political opinions opposing the parliamentary system, democrats, liberals, Catholics, the French and Jews, who he thought ought to be deprived of political rights and, preferably, expelled
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is not a member of itself, and is thus inconsistent. Frege wrote a hasty, last-minute Appendix to Vol. 2, deriving the contradiction and proposing to eliminate it by modifying Basic Law V. Frege opened the Appendix with the exceptionally honest comment: "Hardly anything more unfortunate can befall a
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In 1873, Frege attained his doctorate under Ernst Christian Julius Schering, with a dissertation under the title of "Ueber eine geometrische Darstellung der imaginären Gebilde in der Ebene" ("On a Geometrical Representation of Imaginary Forms in a Plane"), in which he aimed to solve such fundamental
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The distinction can be illustrated thus: In their ordinary uses, the name "Charles Philip Arthur George Mountbatten-Windsor", which for logical purposes is an unanalysable whole, and the functional expression "the King of the United Kingdom", which contains the significant parts "the King of ξ" and
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appeal to mental explanations of the content of judgment of the meaning of sentences. His original purpose was very far from answering general questions about meaning; instead, he devised his logic to explore the foundations of arithmetic, undertaking to answer questions such as "What is a number?"
1360:, where a given expression (say the expression "Tom") simply refers to the entity bearing the name (the person named Tom). Frege also held that propositions had a referential relationship with their truth-value (in other words, a statement "refers" to the truth-value it takes). By contrast, the 1077:
scientific writer than to have one of the foundations of his edifice shaken after the work is finished. This was the position I was placed in by a letter of Mr. Bertrand Russell, just when the printing of this volume was nearing its completion." (This letter and Frege's reply are translated in
1350:("Bedeutung", which has also been translated as "meaning", or "denotation"). While conventional accounts of meaning took expressions to have just one feature (reference), Frege introduced the view that expressions have two different aspects of significance: their sense and their reference. 1175:
because it was noticed that in developing arithmetic, Frege's use of Basic Law V is restricted to a proof of Hume's principle; it is from this, in turn, that arithmetical principles are derived. On Hume's principle and Frege's theorem, see "Frege's Logic, Theorem, and Foundations for
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Frege married Margarete Katharina Sophia Anna Lieseberg (15 February 1856 – 25 June 1904) on 14 March 1887. The couple had at least two children, who unfortunately died when young. Years later they adopted a son, Alfred. Little else is known about Frege's family life, however.
828: 769:(1817–81; philosophy of religion). Many of the philosophical doctrines of the mature Frege have parallels in Lotze; it has been the subject of scholarly debate whether or not there was a direct influence on Frege's views arising from his attending Lotze's lectures. 1459:
Frege was described by his students as a highly introverted person, seldom entering into dialogues with others and mostly facing the blackboard while lecturing. He was, however, known to occasionally show wit and even bitter sarcasm during his classes.
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and graduated in 1869. Teacher of mathematics and natural science Gustav Adolf Leo Sachse (1843–1909), who was also a poet, played an important role in determining Frege's future scientific career, encouraging him to continue his studies at his own
1364:(or "Sinn") associated with a complete sentence is the thought it expresses. The sense of an expression is said to be the "mode of presentation" of the item referred to, and there can be multiple modes of representation for the same referent. 1037:∀x. The set of Fs is the same as the set of Gs just in case every F is a G and every G is an F. (The case is special because what is here being called the extension of a predicate, or a set, is only one type of "value-range" of a function.) 967:, vol. 1, 1893; vol. 2, 1903; vol. 2 was published at his own expense), Frege attempted to derive, by use of his symbolism, all of the laws of arithmetic from axioms he asserted as logical. Most of these axioms were carried over from his 1435:. Frege recorded the belief that it would be best if the Jews of Germany would "get lost, or better would like to disappear from Germany." Some interpretations have been written about that time. The diary contains a critique of 1088:, and hence is worthless (indeed, this would make for a contradiction in Frege's system if he had axiomatized the idea, fundamental to his discussion, that the True and the False are distinct objects; see, for example, 2490:, pp. 99ff. Sluga's source was an article by Eckart Menzler-Trott: "Ich wünsch die Wahrheit und nichts als die Wahrheit: Das politische Testament des deutschen Mathematikers und Logikers Gottlob Frege". In: 5060: 672:(2nd ed., Wismar 1850; 3rd ed., Wismar and Ludwigslust: Hinstorff, 1862) (Help book for teaching German to children from 9 to 13 years old), the first section of which dealt with the structure and 6343: 1739: 2755:. Univ. of California Press. Translation of selected sections from volume 2 in Geach and Black (1980). Complete translation of both volumes: Philip A. Ebert and Marcus Rossberg, 2013, 1852:. (I. Angelelli, ed.). Darmstadt: Wissenschaftliche Buchgesellschaft, 1967 and Hildesheim, G. Olms, 1967. "Small Writings," a collection of most of his writings (e.g., the previous), 1587:, Cambridge: Cambridge University Press, 2005: "Appendix A. Begriffsschrift in Modern Notation: (1) to (51)" and "Appendix B. Begriffsschrift in Modern Notation: (52) to (68)." 3105:, 1965, "Frege's Theory of Number." Reprinted with Postscript in Demopoulos (1965): 182–210. The starting point of the ongoing sympathetic reexamination of Frege's logicism. 1205:
stating his differences with Frege. The diagrammatic notation that Frege used had no antecedents (and has had no imitators since). Moreover, until Russell and Whitehead's
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Grundgesetze der Arithmetik – Begriffsschriftlich abgeleitet. Band I und II: In moderne Formelnotation transkribiert und mit einem ausführlichen Sachregister versehen
715:. In the four semesters of his studies he attended approximately twenty courses of lectures, most of them on mathematics and physics. His most important teacher was 2149: 753:
Starting in 1871, Frege continued his studies in Göttingen, the leading university in mathematics in German-speaking territories, where he attended the lectures of
6408: 2839:. Oxford University Press. — Vigorous, if controversial, criticism of both Frege's philosophy and influential contemporary interpretations such as Dummett's. 896:. Frege's "conceptual notation", however, can represent such inferences. The analysis of logical concepts and the machinery of formalization that is essential to 3349: 2112:'s "Bausteine der mathematischen Logik", pp. 355–357, esp. 355. Translated by Stefan Bauer-Mengelberg as "On the building blocks of mathematical logic" in 5250: 6298: 6278: 421: 260: 2943: 5150: 6398: 2595: 1171:
s. This principle, too, is consistent if second-order arithmetic is, and suffices to prove the axioms of second-order arithmetic. This result is termed
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Rechnungsmethoden, die sich auf eine Erweiterung des Größenbegriffes gründen (Methods of Calculation based on an Extension of the Concept of Magnitude)
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on, the proof was to be purely logical and without gaps. Having exhibited this possibility, Frege's larger purpose was to defend the view that
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Festschrift Ludwig Boltzmann gewidmet zum sechzigsten geburtstage 20. Februar 1904. Mit einem portrait, 101 abbildungen im text und 2 tafeln
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Frege's published philosophical writings were of a very technical nature and divorced from practical issues, so much so that Frege scholar
919: 3234: 3204: 3126: 2671: 1474: 646: 67: 3597: 2989: 2784:, vol. 42, 1994, pp. 1057–98. Introduction by the editors on pp. 1057–66. This article has been translated into English, in: 938:: unlike geometry, arithmetic was to be shown to have no basis in "intuition", and no need for non-logical axioms. Already in the 1879 722:
His other notable university teachers were Christian Philipp Karl Snell (1806–86; subjects: use of infinitesimal analysis in geometry,
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Ueber eine geometrische Darstellung der imaginären Gebilde in der Ebene (On a Geometrical Representation of Imaginary Forms in a Plane)
6393: 6308: 3516: 93: 3342: 3169: 2233: 2181: 1412: 1220: 549:(1889–1951) introduced his work to later generations of philosophers. Frege is widely considered to be the greatest logician since 4459: 3039: 3030: 1951: 597: 6318: 5897: 5245: 4419: 758: 517:; 8 November 1848 – 26 July 1925) was a German philosopher, logician, and mathematician. He was a mathematics professor at the 278: 6363: 6313: 5631: 5225: 5090: 4327: 2564:, vol. 42, 1994, pp. 1057–98. Introduction by the editors on pp. 1057–66. This article has been translated into English, in: 855: 3249: 2744: 1693:, translated and edited with an introduction by Philip A. Ebert and Marcus Rossberg. Oxford: Oxford University Press, 2013. 664:
In childhood, Frege encountered philosophies that would guide his future scientific career. For example, his father wrote a
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Though his education and early mathematical work focused primarily on geometry, Frege's work soon turned to logic. His
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Bertrand Russell and the Nature of Propositions: A History and Defence of the Multiple Relation Theory of Judgement
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Basic Law V can be weakened in other ways. The best-known way is due to philosopher and mathematical logician
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In English: "On Sense and Reference", alternatively translated (in later edition) as "On Sense and Meaning".
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expressed his "shock to discover, while reading Frege's diary, that his hero was an anti-Semite." After the
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are rewritten in modern notation in this work. Partial rewriting of the proofs of Part III is included in
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A frequently noted example is that Aristotle's logic is unable to represent mathematical statements like
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Frege's work in logic had little international attention until 1903 when Russell wrote an appendix to
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from Germany. Frege confided "that he had once thought of himself as a liberal and was an admirer of
1396: 1045: 762: 214: 71: 3000:. Princeton Univ. Press. — A critical survey of the ongoing rehabilitation of Frege's logicism. 765:(1804–91; physical studies, applied physics), Eduard Riecke (1845–1915; theory of electricity), and 6383: 6129: 6097: 5951: 5941: 5832: 5586: 5440: 5425: 5410: 5405: 5390: 5371: 5366: 5352: 5274: 5190: 5180: 5030: 4986: 4820: 4597: 4512: 4105: 4036: 3814: 3645: 3627: 3591: 3511: 3466: 3456: 3358: 3274: 3092: 2984: 2896:. University of Illinois Press. — 31 essays by philosophers, grouped under three headings: 1. 2690: 2113: 1788:(1918–1923). Frege intended that the following three papers be published together in a book titled 1573: 1444: 1333: 1304: 1254: 1228: 1152: 1078: 889: 774: 747: 654: 546: 530: 522: 461: 426: 399: 379: 197: 189: 6092: 6025: 5797: 5771: 5746: 5741: 5726: 5621: 5400: 5356: 5040: 4936: 4931: 4855: 4830: 4632: 4617: 4582: 4278: 3996: 3953: 3922: 3912: 3872: 3730: 3710: 3571: 3531: 3526: 3451: 2621: 1978: 1800:, ed. G. Patzig, Vandenhoeck & Ruprecht, 1966, and English translations appeared together in 1752: 1481: 1436: 1280: 1212: 1180: 973:, though not without some significant changes. The one truly new principle was one he called the 700: 518: 389: 369: 361: 315: 237: 177: 117: 4363: 3044: 3011: 2889:. Penguin Books. — Excellent non-technical introduction and overview of Frege's philosophy. 2702:
Die Grundlagen der Arithmetik: Eine logisch-mathematische Untersuchung über den Begriff der Zahl
1997: 1983:. Metaphysics Research Lab, Stanford University – via Stanford Encyclopedia of Philosophy. 1593:
Die Grundlagen der Arithmetik: Eine logisch-mathematische Untersuchung über den Begriff der Zahl
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cannot be put into one-to-one correspondence with the universe of discourse, that is, unless: ∃
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second-order logic. Predicative second-order logic plus Basic Law V is provably consistent by
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1891. "Funktion und Begriff." Translation: "Function and Concept" in Geach and Black (1980).
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Frege's proposed remedy was subsequently shown to imply that there is but one object in the
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Gottfried Gabriel, Wolfgang Kienzler (editors): "Gottlob Freges politisches Tagebuch". In:
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and socialism. Frege had friendly relations with Jews in real life: among his students was
1223:(1841–1902). Frege's logical ideas nevertheless spread through the writings of his student 1052:
of a set or extension in Frege's system; Russell then drew attention to "the set of things
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1918–19. "Der Gedanke: Eine logische Untersuchung" ("The Thought: A Logical Inquiry"), in
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Word and Object in Husserl, Frege and Russell: The Roots of Twentieth-Century Philosophy
2766:. Leipzig: Barth: 656–666. Translation: "What is a Function?" in Geach and Black (1980). 2638: 6228: 6223: 6196: 6065: 6043: 5981: 5956: 5342: 4966: 4921: 4745: 4677: 4552: 4547: 4347: 4229: 4100: 4031: 4026: 3991: 3892: 3789: 3758: 3743: 3705: 3695: 3650: 3425: 3133: 2821: 2710:
The Foundations of Arithmetic: A Logico-Mathematical Enquiry into the Concept of Number
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Begriffsschrift: eine der arithmetischen nachgebildete Formelsprache des reinen Denkens
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Begriffsschrift, eine der arithmetischen nachgebildete Formelsprache des reinen Denkens
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Frege matriculated at the University of Jena in the spring of 1869 as a citizen of the
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to the Jenaische Gesellschaft für Medizin und Naturwissenschaft, Jena, 9 January 1891.
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Begriffsschrift, a Formula Language, Modeled Upon That of Arithmetic, for Pure Thought
1424:. In an entry dated 5 May 1924 Frege expressed agreement with an article published in 827: 6252: 6218: 6151: 6146: 6112: 6048: 5936: 5581: 5210: 4825: 4730: 4725: 4687: 4607: 4587: 4527: 4368: 4337: 4332: 4224: 4219: 4199: 4189: 4155: 4125: 4120: 4051: 4046: 3976: 3968: 3945: 3852: 3799: 3655: 3617: 3546: 3446: 3415: 3003: 2974: 2882: 2825: 2625: 1916: 1686:, edited by T. Müller, B. Schröder, and R. Stuhlmann-Laeisz, Paderborn: mentis, 2009. 1224: 1101: 923: 915: 766: 658: 299: 27: 1583:
In English (selected sections revised in modern formal notation): R. L. Mendelsohn,
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Festschrift Ludwig Boltzmann gewidmet zum sechzigsten Geburtstage, 20. Februar 1904
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Festschrift Ludwig Boltzmann gewidmet zum sechzigsten Geburtstage, 20 February 1904
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with Pieranna Garavaso, Lexington Books–Rowman & Littlefield, Lanham, MD, Usa.
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Concept Script, a formal language of pure thought modelled upon that of arithmetic
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The crucial case of the law may be formulated in modern notation as follows. Let {
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Hülfsbuch zum Unterrichte in der deutschen Sprache für Kinder von 9 bis 13 Jahren
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could be derived from Frege's Basic Law V. It is easy to define the relation of
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Concept-Script: A Formal Language for Pure Thought Modeled on that of Arithmetic
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In English (translation of selected sections), "Translation of Part of Frege's
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These distinctions were disputed by Bertrand Russell, especially in his paper "
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and her father was Johann Heinrich Siegfried Bialloblotzky, a descendant of a
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In a famous episode, Bertrand Russell wrote to Frege, just as Vol. 2 of the
609: 550: 3211: 3082:. Methodology and Science Foundation, 2. Van Gorcum & Co., Assen, 1982. 2722:
100:25–50. Translation: "On Sense and Reference" in Geach and Black (1980).
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Frege – An introduction to the founder of modern analytic philosophy
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16:192–205. Translation: "Concept and Object" in Geach and Black (1980).
2683:, eine der arithmetischen nachgebildete Formelsprache des reinen Denkens 1391:"; the controversy has continued into the present, fueled especially by 661:
noble family who left Poland in the 17th century. Frege was a Lutheran.
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The First Moderns: Profiles in the Origins of Twentieth Century Thought
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The Deflationary Theory of Truth (Stanford Encyclopedia of Philosophy)
596:" are also widely cited. The former argues for two different types of 5852: 5641: 5530: 4996: 3240: 2523: 2268:(4 April 2019). "2 - Education through University Days (1854–1874)". 2076: 1470: 1195:
methods, but it can interpret only very weak fragments of arithmetic.
642: 621: 394: 244: 63: 3267: 3054:, 2002, "On the consistency of the Delta-1-1-CA fragment of Frege's 730:, analytical mechanics, optics, physical foundations of mechanics); 2695:
From Frege to Gödel: A Source Book in Mathematical Logic, 1879–1931
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Online bibliography of Frege's works and their English translations
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From Frege to Gödel: A Source Book in Mathematical Logic, 1879–1931
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important preliminary theorems, for example, a generalized form of
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1973), but recent work has shown that much of the program of the
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broke new ground, including a rigorous treatment of the ideas of
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package for typesetting Frege's logic notation, earlier version.
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is, and suffices to prove the axioms of second-order arithmetic.
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An Essay Towards a Real Character, and a Philosophical Language
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package for typesetting Frege's logic notation, mature version
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A comprehensive guide to Fregean material available on the web
1646:, New York, NY: Philosophical Library, 1952, pp. 137–158. 1311:) of names and other expressions, sometimes said to involve a 946:, were derived within what Frege understood to be pure logic. 112: 5266: 2800:
Translations from the Philosophical Writings of Gottlob Frege
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Translations from the Philosophical Writings of Gottlob Frege
1622:, Band I (1893); Band II (1903), Jena: Verlag Hermann Pohle ( 1580:, Harvard, MA: Harvard University Press, 1967, pp. 5–82. 2602:, Cambridge: Cambridge University Press, pp. xiii–xiv, 3080:
Frege, Dedekind, and Peano on the foundations of arithmetic
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Il Programma Logicista di Frege e il Tema delle Definizioni
2751:. Partial translation of volume 1: Montgomery Furth, 1964. 2488:
Heidegger's Crisis: Philosophy and Politics in Nazi Germany
2304:"Frege, Gottlob | Internet Encyclopedia of Philosophy" 2274:(1 ed.). Cambridge University Press. pp. 37, 42. 773:
problems in geometry as the mathematical interpretation of
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German philosopher, logician, and mathematician (1848–1925)
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A Critical Introduction to the Philosophy of Gottlob Frege
2879:. Open Court. — On the Frege-Husserl-Cantor triangle. 1761:
Vierteljahresschrift für wissenschaftliche Philosophie XVI
1609:: A Logico-Mathematical Enquiry into the Concept of Number 926:'s (1901–83) theory of truth, is ultimately due to Frege. 3314: 2928:. Franco Angeli. — On Frege's theory of definitions. 820:. Frege's goal was to show that mathematics grows out of 497: 2762:
1904. "Was ist eine Funktion?" in Meyer, S., ed., 1904.
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Frege's Logic, Theorem, and Foundations for Arithmetic,
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Horsten, Leon and Pettigrew, Richard, "Introduction" in
2166:(2006). "Frege, Gottlob". In Borchert, Donald M. (ed.). 1838:
Jahresbericht der deutschen Mathematiker-Vereinigung XII
1211:(3 vols.) appeared in 1910–13, the dominant approach to 668:
on the German language for children aged 9–13, entitled
3324:
typesetting tool — by P. A. Ebert and M. Rossberg.
2877:
Husserl or Frege: Meaning, Objectivity, and Mathematics
2348:(Continuum International Publishing Group, 2011), p. 7. 2211:"Ahnenliste des Mathematikers Gottlob Frege, 1848–1925" 2041:
On Foundationalism: A Strategy for Metaphysical Realism
1977:
Balaguer, Mark (25 July 2016). Zalta, Edward N. (ed.).
1219:(1815–64) and his intellectual descendants, especially 1167:
s can be put into a one-to-one correspondence with the
3223:
Frege's Logic, Theorem, and Foundations for Arithmetic
2776:
1924. Gottfried Gabriel, Wolfgang Kienzler (editors):
2727:
Vierteljahresschrift für wissenschaftliche Philosophie
2524:"Frege, Gottlob – Internet Encyclopedia of Philosophy" 2327:
Themes in Plato, Aristotle, and Hellenistic Philosophy
949:
This idea was formulated in non-symbolic terms in his
3047:
and Frege's mathematical and intellectual background.
2720:
Zeitschrift für Philosophie und philosophische Kritik
2329:, Keeling Lectures 2011–2018, p.149-206; Zalta, Ed, 1824:
Beiträge zur Philosophie des Deutschen Idealismus III
1740:
Zeitschrift für Philosophie und philosophische Kritik
1560:(1879), Halle an der Saale: Verlag von Louis Nebert ( 1451:. The 1924 diary was published posthumously in 1994. 537:. Though he was largely ignored during his lifetime, 488: 1319:
As a philosopher of mathematics, Frege attacked the
1257:, whose work on logic and language gave rise to the 808:
marked a turning point in the history of logic. The
491: 6344:
People from the Grand Duchy of Mecklenburg-Schwerin
6209: 6128: 6121: 6057: 6006: 5997: 5990: 5914: 5790: 5660: 5552: 5488: 5448: 5439: 5320: 5311: 5304: 5173: 5022: 4874: 4711: 4458: 4356: 4318: 4292: 4266: 4238: 4182: 4154: 4091: 4070: 4009: 3967: 3944: 3921: 3823: 3767: 3729: 3673: 3626: 3580: 3484: 3434: 3408: 3372: 3365: 1817:
Beiträge zur Philosophie des Deutschen Idealismus I
1810:
Beiträge zur Philosophie des Deutschen Idealismus I
987:) is the same as the "value-range" of the function 485: 325: 305: 295: 285: 272: 243: 233: 183: 173: 159: 128: 104: 78: 56: 37: 3108:Gillies, Donald: The Fregean revolution in logic. 3085:Gillies, Donald: The Fregean revolution in logic. 2414: 1778:, S. Meyer (ed.), Leipzig, 1904, pp. 656–666. 2496:, vol. 36, no. 432, 20 December 1989, pp. 68–79. 1943:Beiträge zur Philosophie des Deutschen Idealismus 1124:have the same "extension" if and only if neither 2944:Frege on Thinking and Its Epistemic Significance 1822:1923. "Gedankengefüge" ("Compound Thought"), in 1021:, that is, the set of all Fs, and similarly for 521:, and is understood by many to be the father of 3043:. Harvard Univ. Press. — Papers exploring 2444: 2442: 1836:1903: "Über die Grundlagen der Geometrie". II. 1682:In German (revised in modern formal notation): 1649:In German (revised in modern formal notation): 1044:was about to go to press in 1903, showing that 806:], Halle a/S: Verlag von Louis Nebert, 1879 2346:The Continuum Companion to Philosophical Logic 2319:published in 2021 a work provocatively titled 2118:A Source Book in Mathematical Logic, 1879–1931 5282: 4427: 3343: 2820:. "On a Contemporary Usage of Frege", trans. 2135:, Northwestern University Press, 1980, p. 87. 1843:In English: "On the Foundations of Geometry". 1759:Original: "Ueber Begriff und Gegenstand", in 1596:(1884), Breslau: Verlag von Wilhelm Koebner ( 8: 2596:"Chronology of Major Events in Frege's Life" 2255:, Cambridge University Press, 2019, p. xiii. 2150:Random House Webster's Unabridged Dictionary 1447:to leave for England in order to study with 1025:. Then Basic Law V says that the predicates 3070:The Search for Mathematical Roots 1870–1940 2421:. New York, Harper & Row. p. xii. 2077:Truth – Internet Encyclopedia of Philosophy 846:, in large part thanks to his invention of 422:set-theoretic definition of natural numbers 6125: 6003: 5994: 5787: 5445: 5317: 5308: 5289: 5275: 5267: 5151:Wittgenstein on Rules and Private Language 4434: 4420: 4412: 3941: 3726: 3623: 3369: 3350: 3336: 3328: 2685:. Halle a. S.: Louis Nebert. Translation: 1815:1918–19. "Die Verneinung" ("Negation") in 777:'s infinitely distant (imaginary) points. 45: 34: 2875:------, and Rosado Haddock, G. E., 2000. 2725:1892b. "Ueber Begriff und Gegenstand" in 2584:, Open Court Publishing, 2004, pp. 18–26. 2498:http://forvm.contextxxi.org/-no-432-.html 2096:I, Jena: Verlag Hermann Pohle, 1893, §36. 2043:, Rowman & Littlefield, 2004, p. 111. 6404:Academic staff of the University of Jena 3164:, Chicago: University of Chicago Press, 3138:Frege's Conception of Numbers as Objects 2863:The Interpretation of Frege's Philosophy 2844:Frege: An Introduction to His Philosophy 2835:Baker, Gordon, and P.M.S. Hacker, 1984. 2403:(Oxford University Press, 1997), p. 241. 2012: 2010: 1737:Original: "Über Sinn und Bedeutung", in 1261:in philosophy. His contributions to the 1238: 1151:Basic Law V can simply be replaced with 1108:is "small" if the objects falling under 1068:entails that the set thus characterised 850:, which eventually became ubiquitous in 3284:MacTutor History of Mathematics Archive 3130:. Oxford: Oxford University Press, 2013 3121:. Oxford: Oxford University Press, 2011 2993:. Oxford: Oxford University Press, 2012 2120:. Harvard University Press, pp. 355–66. 2072: 2070: 1969: 1904: 1774:Original: "Was ist eine Funktion?", in 339: 3095:, 2010, "Frege on Number Properties," 2021:II. Frege as Idealist and then Realist 934:is a branch of logic, a view known as 732:Hermann Karl Julius Traugott Schaeffer 6409:Mathematicians from the German Empire 2455:. Yale University Press. p. 60. 2334:, Stanford Encyclopedia of Philosophy 2247: 2245: 1718:Original: "Funktion und Begriff", an 1420:", but then sympathized with General 512: 7: 3268:Frege on Being, Existence and Truth. 2915:Rosado Haddock, Guillermo E., 2006. 2782:Deutsche Zeitschrift für Philosophie 2718:1892a. "Über Sinn und Bedeutung" in 2704:. Breslau: W. Koebner. Translation: 2562:Deutsche Zeitschrift für Philosophie 1947:Deutsche Philosophische Gesellschaft 1888:List of pioneers in computer science 1804:, ed. Peter Geach, Blackwell, 1975. 979:: the "value-range" of the function 858:. Previous logic had dealt with the 608:and "The Thought", Frege argues for 3235:Internet Encyclopedia of Philosophy 3205:Stanford Encyclopedia of Philosophy 2872:. Athens OH: Ohio University Press. 2802:, 3rd ed. Blackwell (1st ed. 1952). 2778:Gottlob Freges politisches Tagebuch 2734:Grundgesetze der Arithmetik, Band I 2672:Stanford Encyclopedia of Philosophy 2360:Stanford Encyclopedia of Philosophy 2200:, Felix Meiner Verlag, 2013, p. 11. 1725:In English: "Function and Concept". 1372:, namely, the person best known as 68:Grand Duchy of Mecklenburg-Schwerin 6299:20th-century German mathematicians 6279:19th-century German mathematicians 2975:Frege, Boolos, and Logical Objects 2788:, vol. 39, 1996, pp. 303–342. 2198:Gottlob Frege: Leben – Werk – Zeit 1911:Only the proofs of Part II of the 1781:In English: "What is a Function?". 1116:. Now weaken V to V*: a "concept" 545:(1872–1970), and, to some extent, 94:Free State of Mecklenburg-Schwerin 14: 3040:Frege's Philosophy of Mathematics 3010:. MIT Press. — 12 papers on 2979:Journal of Philosophical Logic 33 2769:1918–1923. Peter Geach (editor): 2550:from the original on 21 May 2013. 1766:In English: "Concept and Object". 1096:might be salvaged in other ways: 6354:German philosophers of education 6304:20th-century German philosophers 6294:20th-century German male writers 6284:19th-century German philosophers 6274:19th-century German male writers 4395: 4386: 4385: 3320:, website, incl. corrigenda and 3037:Demopoulos, William, ed., 1995. 3031:Frege: Philosophy of Mathematics 2600:Frege: A Philosophical Biography 2271:Frege: A Philosophical Biography 2253:Frege: A Philosophical Biography 2225:Frege: A Philosophical Biography 2222:Jacquette, Dale (4 April 2019). 1867: 1615:, Oxford: Basil Blackwell, 1950. 1368:"United Kingdom", have the same 1253:Frege is one of the founders of 1155:, which says that the number of 854:and logic, and which solved the 481: 6359:German philosophers of language 6329:German male non-fiction writers 5898:Pseudo-Dionysius the Areopagite 3185:Works by or about Gottlob Frege 3060:Journal of Philosophic Logic 31 2832:, no. 1, 2000, pp. 99–115. 2449:Yvonne Sherratt (21 May 2013). 2413:Dummett, Michael A. E. (1973). 1585:The Philosophy of Gottlob Frege 1551:Logic, foundation of arithmetic 1183:, can be weakened to so-called 1159:s is the same as the number of 759:Ernst Christian Julius Schering 755:Rudolf Friedrich Alfred Clebsch 707:Studies at University (1869–74) 457:technique for binding arguments 324: 290:Rudolf Friedrich Alfred Clebsch 279:Ernst Christian Julius Schering 6399:University of Göttingen alumni 6379:German philosophers of science 5091:Tractatus Logico-Philosophicus 3598:Analytic–synthetic distinction 3018:approach to the foundation of 2736:. Jena: Verlag Hermann Pohle. 2377:. Princeton University Press. 2322:"Frege plagiarized the Stoics" 2228:. Cambridge University Press. 856:problem of multiple generality 757:(1833–72; analytic geometry), 556:His contributions include the 477:Friedrich Ludwig Gottlob Frege 366:Frege's propositional calculus 1: 6031:Giovanni Pico della Mirandola 4972:Principle of compositionality 2855:Frege: Philosophy of Language 2594:Jacquette, Dale, ed. (2019), 2568:, vol. 39, 1996, pp. 303–342. 2417:Frege; philosophy of language 2132:The Foundations of Arithmetic 1770:"What is a Function?" (1904) 1607:The Foundations of Arithmetic 1525:Ordentlicher Honorarprofessor 1426:Houston Stewart Chamberlain's 1272:and argument analysis of the 1244: 1202:The Principles of Mathematics 957:Die Grundlagen der Arithmetik 952:The Foundations of Arithmetic 411:descriptivist theory of names 347:principle of compositionality 143:The Foundations of Arithmetic 5121:Philosophical Investigations 3243: — by Kevin C. Klement. 3127:Reading Frege's Grundgesetze 2753:The Basic Laws of Arithmetic 2689:, by S. Bauer-Mengelberg in 2643:. Leipzig, J.A. Barth. 1904. 2400:What Is Mathematics, Really? 2172:. Vol. 3 (2 ed.). 1655:University of Duisburg-Essen 1518:Ausserordentlicher Professor 1413:German Revolution of 1918–19 1356:(or "Bedeutung") applied to 1179:Frege's logic, now known as 761:(1824–97; function theory), 588:. His philosophical papers " 286:Other academic advisors 6374:German philosophers of mind 6369:Philosophers of mathematics 6289:19th-century German writers 4962:Modality (natural language) 3256: — by Dorothea Lotter. 3034:. Harvard University Press. 2990:Frege's Conception of Logic 2959:, Cornell University Press. 2865:. Harvard University Press. 2858:. Harvard University Press. 2697:. Harvard University Press. 2580:, ed. by Erich H. Reck and 2094:Grundgesetze der Arithmetik 1651:Grundgesetze der Arithmetik 1632:Grundgesetze der Arithmetik 1620:Grundgesetze der Arithmetik 1494:1873 — PhD, doctor in 965:Grundgesetze der Arithmetik 910:, 1861–1947), to Russell's 576:is the seminal text of the 558:development of modern logic 6425: 5101:Language, Truth, and Logic 4841:Theological noncognitivism 4726:Contrast theory of meaning 4721:Causal theory of reference 4452:Index of language articles 3497:Causal theory of reference 3261:Metaphysics Research Lab: 3194:Frege at Genealogy Project 3110:Revolutions in mathematics 3087:Revolutions in mathematics 2868:Hill, Claire Ortiz, 1991. 2837:Frege: Logical Excavations 2798:, eds., and trans., 1980. 2759:. Oxford University Press. 2169:Encyclopedia of Philosophy 2064:, Routledge, 2017, p. 34). 1331: 839:In effect, Frege invented 788: 713:North German Confederation 641:Frege was born in 1848 in 568:foundations of mathematics 416:redundancy theory of truth 228:Redundancy theory of truth 25: 18: 6394:University of Jena alumni 6309:20th-century male writers 5506:Metrodorus of Stratonicea 5241: 5186:Philosophy of information 4786:Mediated reference theory 4449: 4381: 2910:Philosophy of Mathematics 2892:Klemke, E.D., ed., 1968. 2608:10.1017/9781139033725.001 2578:Frege's Lectures on Logic 2280:10.1017/9781139033725.005 1653:, Korpora (portal of the 1634:," translated and edited 1502:), attained at Göttingen. 1313:mediated reference theory 584:as where to pinpoint the 580:project, and is cited by 573:Foundations of Arithmetic 514:[ˈɡɔtloːpˈfreːɡə] 470: 405:mediated reference theory 312:Philosophy of mathematics 155: 44: 5702:Eustathius of Cappadocia 5111:Two Dogmas of Empiricism 3557:Scientific structuralism 3317:Basic Laws of Arithmetic 3289:University of St Andrews 3124:Heck, Richard Kimberly: 3115:Heck, Richard Kimberly: 2757:Basic Laws of Arithmetic 2027:22 (1–4):350–357 (1979). 2004:20 (1–4):227–242 (1977). 1980:Platonism in Metaphysics 1691:Basic Laws of Arithmetic 1487:1871 — attends the 1480:1869 — attends the 1469:Born 8 November 1848 in 1303:Distinction between the 1033:have the same extension 961:Basic Laws of Arithmetic 685:Große Stadtschule Wismar 149:Basic Laws of Arithmetic 26:Not to be confused with 5767:Gaius Marius Victorinus 5362:Demetrius of Amphipolis 4912:Use–mention distinction 4756:Direct reference theory 3252:31 January 2009 at the 3008:Logic, Logic, and Logic 2842:Currie, Gregory, 1982. 2174:Macmillan Reference USA 2106:Willard Van Orman Quine 2058:Über Sinn und Bedeutung 1998:Frege's alleged realism 1798:Logische Untersuchungen 1790:Logische Untersuchungen 1664:21 October 2016 at the 1489:University of Göttingen 1429:Deutschlands Erneuerung 1146:second-order arithmetic 1144:). V* is consistent if 959:, 1884). Later, in his 920:incompleteness theorems 738:); and the philosopher 525:, concentrating on the 210:Transcendental idealism 168:20th-century philosophy 164:19th-century philosophy 109:University of Göttingen 6319:German epistemologists 5386:Lastheneia of Mantinea 5381:Hestiaeus of Perinthus 4846:Theory of descriptions 4781:Linguistic determinism 4443:Philosophy of language 3613:Reflective equilibrium 3144:conception of numbers. 3066:Grattan-Guinness, Ivor 2941:Nicla Vassallo, 2014, 2771:Logical Investigations 2373:Burgess, John (2005). 2060:" (see Samuel Lebens, 1932:(375): 331–344 (1985). 1802:Logical Investigations 1794:Logical Investigations 1786:Logical Investigations 1731:On Sense and Reference 1675:29 August 2017 at the 1539:Mecklenburg-Vorpommern 1340:On Sense and Reference 1285:Begriff und Gegenstand 1263:philosophy of language 1250: 912:theory of descriptions 908:Alfred North Whitehead 902:(3 vols., 1910–13, by 836: 651:Mecklenburg-Vorpommern 590:On Sense and Reference 527:philosophy of language 320:philosophy of language 6364:Philosophers of logic 6314:Analytic philosophers 6192:Nicholas Wolterstorff 5967:Theodoric of Freiberg 5637:Clement of Alexandria 5567:Eudorus of Alexandria 5521:Aeschines of Neapolis 4957:Mental representation 4892:Linguistic relativity 4776:Inquisitive semantics 4284:Nicholas Wolterstorff 3739:David Malet Armstrong 2996:Burgess, John, 2005. 2969:Anderson, D. J., and 2964:Logic and mathematics 2924:Sisti, Nicola, 2005. 2921:. Ashgate Publishing. 2452:Hitler's Philosophers 2363:at plato.stanford.edu 1706:Philosophical studies 1533:Died 26 July 1925 in 1338:Frege's 1892 paper, " 1242: 1208:Principia Mathematica 1163:s if and only if the 1086:universe of discourse 1064:". The system of the 899:Principia Mathematica 830: 442:Frege–Church ontology 357:quantification theory 5977:Berthold of Moosburg 5922:John Scotus Eriugena 5893:David the Invincible 5602:Alexander Peloplaton 5141:Naming and Necessity 5051:De Arte Combinatoria 4850:Definite description 4811:Semantic externalism 3275:Robertson, Edmund F. 3156:Everdell, William R. 3093:Irvine, Andrew David 2985:Blanchette, Patricia 2956:Frege in Perspective 2747:17 June 2022 at the 2712:, 2nd ed. Blackwell. 2325:: Bobzien S., – In: 1831:Articles on geometry 1712:Function and Concept 1530:1918 — retires. 1475:Mecklenburg-Schwerin 1397:Naming and Necessity 1395:'s famous lectures " 1279:Distinction between 848:quantified variables 763:Wilhelm Eduard Weber 647:Mecklenburg-Schwerin 407:(Frege–Russell view) 281:(PhD thesis advisor) 215:Metaphysical realism 72:German Confederation 6098:Ralph Waldo Emerson 5572:Philo of Alexandria 5411:Menedemus of Pyrrha 5406:Heraclides Ponticus 5391:Timolaus of Cyzicus 5367:Euaeon of Lampsacus 5191:Philosophical logic 5181:Analytic philosophy 4987:Sense and reference 4866:Verification theory 4821:Situation semantics 4106:Patricia Churchland 4037:Christine Korsgaard 3923:Logical positivists 3815:Ludwig Wittgenstein 3592:paradox of analysis 3359:Analytic philosophy 3273:O'Connor, John J.; 2691:Jean Van Heijenoort 2114:Jean van Heijenoort 1445:Ludwig Wittgenstein 1334:Sense and reference 1328:Sense and reference 1305:sense and reference 1255:analytic philosophy 1229:Ludwig Wittgenstein 1079:Jean van Heijenoort 1060:is not a member of 1056:that are such that 775:projective geometry 748:critical philosophy 736:electronic machines 655:Philipp Melanchthon 637:Childhood (1848–69) 547:Ludwig Wittgenstein 523:analytic philosophy 462:round square copula 447:Frege–Geach problem 380:sense and reference 198:Logical objectivism 190:Analytic philosophy 6349:People from Wismar 6093:Emanuel Swedenborg 6026:Cristoforo Landino 6008:Florentine Academy 5798:Plutarch of Athens 5747:Eusebius of Myndus 5742:Maximus of Ephesus 5727:Theodorus of Asine 5622:Numenius of Apamea 5401:Axiothea of Phlius 5357:Erastus of Scepsis 5041:Port-Royal Grammar 4937:Family resemblance 4856:Theory of language 4831:Supposition theory 4279:William Lane Craig 3997:Friedrich Waismann 3954:Carl Gustav Hempel 3913:Timothy Williamson 3873:Alasdair MacIntyre 3731:Australian realism 3711:Russ Shafer-Landau 3572:Analytical Thomism 3527:Logical positivism 3247:Frege and Language 3149:Historical context 3076:Gillies, Donald A. 2846:. Harvester Press. 2773:, Blackwell, 1975. 2108:, introduction to 1753:Concept and Object 1482:University of Jena 1437:universal suffrage 1309:Sinn und Bedeutung 1281:concept and object 1251: 1215:was still that of 1213:mathematical logic 1181:second-order logic 995:) if and only if ∀ 837: 785:Work as a logician 701:University of Jena 519:University of Jena 390:concept and object 370:ancestral relation 362:predicate calculus 316:mathematical logic 238:University of Jena 178:Western philosophy 118:University of Jena 6246: 6245: 6242: 6241: 6187:Peter van Inwagen 6157:Roderick Chisholm 6083: 6082: 6039: 6038: 5910: 5909: 5906: 5905: 5752:Priscus of Epirus 5554:Middle Platonists 5548: 5547: 5544: 5543: 5536:Dio of Alexandria 5461:Diocles of Cnidus 5264: 5263: 4766:Dynamic semantics 4409: 4408: 4377: 4376: 4093:Pittsburgh School 4083:Peter van Inwagen 4017:Roderick Chisholm 4005: 4004: 3898:Richard Swinburne 3833:G. E. M. Anscombe 3669: 3668: 3567:Analytic theology 3542:Ordinary language 3480: 3479: 3050:Ferreira, F. and 2617:978-1-139-03372-5 2510:"Frege biography" 2462:978-0-300-15193-0 2428:978-0-06-011132-8 2384:978-0-691-12231-1 2289:978-1-139-03372-5 2110:Moses Schönfinkel 2052:Frege criticized 1945:was the organ of 1875:Philosophy portal 1840:(1903), 368–375. 1699:978-0-19-928174-9 1574:J. van Heijenoort 1298:Context principle 1046:Russell's paradox 944:law of trichotomy 906:, 1872–1970, and 860:logical constants 724:analytic geometry 683:Frege studied at 474: 473: 452:law of trichotomy 352:context principle 342:Anti-psychologism 6416: 6324:German logicians 6126: 6004: 5995: 5843:Ammonius Hermiae 5788: 5647:Origen the Pagan 5526:Philo of Larissa 5501:Hagnon of Tarsus 5446: 5431:Crates of Athens 5318: 5309: 5291: 5284: 5277: 5268: 5226:Formal semantics 5174:Related articles 5166: 5156: 5146: 5136: 5126: 5116: 5106: 5096: 5086: 5076: 5066: 5056: 5046: 5036: 4806:Relevance theory 4801:Phallogocentrism 4436: 4429: 4422: 4413: 4399: 4398: 4389: 4388: 4328:Nancy Cartwright 4169:Nicholas Rescher 4146:Bas van Fraassen 4136:Nicholas Rescher 3959:Hans Reichenbach 3942: 3908:Bernard Williams 3805:Bertrand Russell 3727: 3661:Rigid designator 3624: 3370: 3366:Related articles 3352: 3345: 3338: 3329: 3291: 3201:by Brian Carver. 3189:Internet Archive 3174: 3026:Dummett, Michael 2850:Dummett, Michael 2742:Band I+II online 2645: 2644: 2635: 2629: 2628: 2591: 2585: 2575: 2569: 2558: 2552: 2551: 2549: 2542: 2534: 2528: 2527: 2520: 2514: 2513: 2506: 2500: 2481: 2475: 2474: 2446: 2437: 2436: 2433:Internet Archive 2420: 2410: 2404: 2395: 2389: 2388: 2370: 2364: 2355: 2349: 2342: 2336: 2314: 2308: 2307: 2300: 2294: 2293: 2262: 2256: 2251:Jacquette, Dale 2249: 2240: 2239: 2219: 2213: 2207: 2201: 2196:Lothar Kreiser, 2194: 2188: 2187: 2164:Wehmeier, Kai F. 2160: 2154: 2142: 2136: 2127: 2121: 2103: 2097: 2090: 2084: 2074: 2065: 2050: 2044: 2034: 2028: 2014: 2005: 1991: 1985: 1984: 1974: 1957: 1955: 1939: 1933: 1909: 1877: 1872: 1871: 1870: 1850:Kleine Schriften 1763:(1892): 192–205. 1611:, translated by 1449:Bertrand Russell 1374:King Charles III 1292:compositionality 1249: 1246: 1153:Hume's principle 1120:and a "concept" 978: 904:Bertrand Russell 890:Euclid's theorem 807: 693: 566:and work in the 543:Bertrand Russell 516: 511: 507: 506: 503: 502: 499: 496: 493: 490: 487: 427:Hume's principle 336: 296:Notable students 274:Doctoral advisor 224:Indirect realism 202:Modern Platonism 131: 85: 51:Frege in c. 1879 49: 35: 6424: 6423: 6419: 6418: 6417: 6415: 6414: 6413: 6334:Linguistic turn 6249: 6248: 6247: 6238: 6205: 6202:Edward N. Zalta 6182:Alvin Plantinga 6162:Michael Dummett 6117: 6108:Bernard Bolzano 6079: 6053: 6035: 6021:Marsilio Ficino 5986: 5972:Meister Eckhart 5902: 5883:John Philoponus 5786: 5656: 5627:Ammonius Saccas 5617:Maximus of Tyre 5540: 5484: 5435: 5376:Python of Aenus 5300: 5295: 5265: 5260: 5237: 5216:School of Names 5169: 5164: 5154: 5144: 5134: 5131:Of Grammatology 5124: 5114: 5104: 5094: 5084: 5074: 5064: 5054: 5044: 5034: 5018: 4870: 4816:Semantic holism 4796:Non-cognitivism 4736:Conventionalism 4707: 4454: 4445: 4440: 4410: 4405: 4396: 4373: 4364:Jan Łukasiewicz 4352: 4320:Stanford School 4314: 4300:Paul Feyerabend 4288: 4274:Alvin Plantinga 4262: 4248:James F. Conant 4234: 4178: 4150: 4141:Wilfrid Sellars 4131:Alexander Pruss 4111:Paul Churchland 4087: 4066: 4022:Donald Davidson 4001: 3963: 3940: 3917: 3843:Michael Dummett 3819: 3810:Frank P. Ramsey 3763: 3725: 3701:Jaakko Hintikka 3686:Keith Donnellan 3665: 3622: 3576: 3537:Neurophilosophy 3522:Logical atomism 3476: 3430: 3404: 3361: 3356: 3279:"Gottlob Frege" 3272: 3254:Wayback Machine 3181: 3172: 3154: 3134:Wright, Crispin 3118:Frege's Theorem 3103:Charles Parsons 3045:Frege's theorem 3012:Frege's theorem 2894:Essays on Frege 2809: 2749:Wayback Machine 2681:Begriffsschrift 2667:Edward N. Zalta 2659: 2654: 2649: 2648: 2637: 2636: 2632: 2618: 2593: 2592: 2588: 2576: 2572: 2559: 2555: 2547: 2540: 2536: 2535: 2531: 2522: 2521: 2517: 2508: 2507: 2503: 2482: 2478: 2463: 2448: 2447: 2440: 2429: 2412: 2411: 2407: 2397:Hersh, Reuben, 2396: 2392: 2385: 2372: 2371: 2367: 2356: 2352: 2343: 2339: 2317:Susanne Bobzien 2315: 2311: 2302: 2301: 2297: 2290: 2266:Jacquette, Dale 2264: 2263: 2259: 2250: 2243: 2236: 2221: 2220: 2216: 2209:Arndt Richter, 2208: 2204: 2195: 2191: 2184: 2162: 2161: 2157: 2143: 2139: 2129:Gottlob Frege, 2128: 2124: 2104: 2100: 2092:Gottlob Frege, 2091: 2087: 2075: 2068: 2051: 2047: 2035: 2031: 2015: 2008: 1992: 1988: 1976: 1975: 1971: 1966: 1961: 1960: 1949: 1940: 1936: 1921:Begriffsschrift 1919:, "Reading the 1913:Begriffsschrift 1910: 1906: 1901: 1873: 1868: 1866: 1863: 1833: 1708: 1677:Wayback Machine 1666:Wayback Machine 1624:online version) 1553: 1548: 1546:Important works 1511:private teacher 1466: 1464:Important dates 1457: 1441:Gershom Scholem 1405: 1336: 1330: 1259:linguistic turn 1247: 1237: 1173:Frege's theorem 974: 970:Begriffsschrift 940:Begriffsschrift 844:predicate logic 833:Begriffsschrift 810:Begriffsschrift 796: 793: 791:Begriffsschrift 787: 717:Ernst Karl Abbe 709: 687: 649:(today part of 639: 634: 628:respectively. 586:linguistic turn 582:Michael Dummett 570:. His book the 563:Begriffsschrift 509: 484: 480: 466: 437:Frege's theorem 385:Frege's puzzles 338: 337: 334: 328: 308: 268: 226: 222: 220:Foundationalism 218: 213: 208: 204: 200: 196: 194:Linguistic turn 192: 166: 147: 140: 136:Begriffsschrift 129: 116: 100: 87: 83: 74: 61: 60:8 November 1848 52: 40: 31: 24: 21:Frege (surname) 17: 12: 11: 5: 6422: 6420: 6412: 6411: 6406: 6401: 6396: 6391: 6386: 6381: 6376: 6371: 6366: 6361: 6356: 6351: 6346: 6341: 6336: 6331: 6326: 6321: 6316: 6311: 6306: 6301: 6296: 6291: 6286: 6281: 6276: 6271: 6266: 6261: 6251: 6250: 6244: 6243: 6240: 6239: 6237: 6236: 6231: 6229:Roman Ingarden 6226: 6224:Edmund Husserl 6221: 6215: 6213: 6207: 6206: 6204: 6199: 6197:Crispin Wright 6194: 6189: 6184: 6179: 6174: 6169: 6167:W. V. O. Quine 6164: 6159: 6154: 6149: 6144: 6139: 6134: 6132: 6123: 6119: 6118: 6116: 6115: 6110: 6105: 6100: 6095: 6090: 6084: 6081: 6080: 6078: 6073: 6068: 6066:Ralph Cudworth 6063: 6061: 6055: 6054: 6052: 6051: 6046: 6044:Giordano Bruno 6040: 6037: 6036: 6034: 6033: 6028: 6023: 6018: 6012: 6010: 6001: 5992: 5988: 5987: 5985: 5984: 5982:Paul of Venice 5979: 5974: 5969: 5964: 5959: 5957:Henry of Ghent 5954: 5949: 5944: 5939: 5934: 5929: 5924: 5918: 5916: 5912: 5911: 5908: 5907: 5904: 5903: 5901: 5900: 5895: 5890: 5885: 5880: 5875: 5870: 5865: 5860: 5855: 5850: 5845: 5840: 5835: 5830: 5825: 5820: 5815: 5810: 5805: 5800: 5794: 5792: 5785: 5784: 5779: 5774: 5769: 5764: 5759: 5754: 5749: 5744: 5739: 5734: 5729: 5724: 5719: 5714: 5709: 5704: 5699: 5694: 5689: 5684: 5679: 5678: 5677: 5666: 5664: 5658: 5657: 5655: 5654: 5649: 5644: 5639: 5634: 5629: 5624: 5619: 5614: 5609: 5604: 5599: 5594: 5589: 5584: 5579: 5574: 5569: 5564: 5558: 5556: 5550: 5549: 5546: 5545: 5542: 5541: 5539: 5538: 5533: 5528: 5523: 5518: 5513: 5508: 5503: 5498: 5492: 5490: 5486: 5485: 5483: 5482: 5477: 5468: 5463: 5458: 5452: 5450: 5443: 5437: 5436: 5434: 5433: 5428: 5423: 5418: 5413: 5408: 5403: 5398: 5393: 5388: 5383: 5378: 5369: 5364: 5359: 5350: 5345: 5343:Philip of Opus 5340: 5335: 5330: 5324: 5322: 5315: 5306: 5302: 5301: 5296: 5294: 5293: 5286: 5279: 5271: 5262: 5261: 5259: 5258: 5253: 5248: 5242: 5239: 5238: 5236: 5235: 5230: 5229: 5228: 5218: 5213: 5208: 5203: 5198: 5193: 5188: 5183: 5177: 5175: 5171: 5170: 5168: 5167: 5157: 5147: 5137: 5127: 5117: 5107: 5097: 5087: 5077: 5067: 5057: 5047: 5037: 5026: 5024: 5020: 5019: 5017: 5016: 5009: 5004: 4999: 4994: 4989: 4984: 4979: 4974: 4969: 4967:Presupposition 4964: 4959: 4954: 4949: 4944: 4939: 4934: 4929: 4924: 4919: 4914: 4909: 4904: 4899: 4894: 4889: 4884: 4878: 4876: 4872: 4871: 4869: 4868: 4863: 4858: 4853: 4843: 4838: 4833: 4828: 4823: 4818: 4813: 4808: 4803: 4798: 4793: 4788: 4783: 4778: 4773: 4768: 4763: 4758: 4753: 4748: 4746:Deconstruction 4743: 4738: 4733: 4728: 4723: 4717: 4715: 4709: 4708: 4706: 4705: 4700: 4695: 4690: 4685: 4680: 4675: 4670: 4665: 4660: 4655: 4650: 4645: 4640: 4635: 4630: 4625: 4620: 4615: 4610: 4605: 4600: 4595: 4590: 4585: 4580: 4575: 4570: 4565: 4560: 4555: 4550: 4545: 4540: 4535: 4530: 4525: 4520: 4515: 4510: 4505: 4500: 4495: 4490: 4485: 4480: 4475: 4470: 4464: 4462: 4456: 4455: 4450: 4447: 4446: 4441: 4439: 4438: 4431: 4424: 4416: 4407: 4406: 4404: 4403: 4393: 4382: 4379: 4378: 4375: 4374: 4372: 4371: 4366: 4360: 4358: 4354: 4353: 4351: 4350: 4348:Patrick Suppes 4345: 4340: 4335: 4330: 4324: 4322: 4316: 4315: 4313: 4312: 4307: 4302: 4296: 4294: 4290: 4289: 4287: 4286: 4281: 4276: 4270: 4268: 4264: 4263: 4261: 4260: 4255: 4250: 4244: 4242: 4236: 4235: 4233: 4232: 4230:Michael Walzer 4227: 4222: 4217: 4212: 4207: 4202: 4197: 4192: 4186: 4184: 4180: 4179: 4177: 4176: 4171: 4166: 4160: 4158: 4152: 4151: 4149: 4148: 4143: 4138: 4133: 4128: 4123: 4118: 4116:Adolf Grünbaum 4113: 4108: 4103: 4101:Robert Brandom 4097: 4095: 4089: 4088: 4086: 4085: 4080: 4074: 4072: 4068: 4067: 4065: 4064: 4059: 4057:W. V. O. Quine 4054: 4049: 4044: 4039: 4034: 4032:Nelson Goodman 4029: 4027:Daniel Dennett 4024: 4019: 4013: 4011: 4007: 4006: 4003: 4002: 4000: 3999: 3994: 3992:Moritz Schlick 3989: 3984: 3979: 3973: 3971: 3965: 3964: 3962: 3961: 3956: 3950: 3948: 3939: 3938: 3933: 3927: 3925: 3919: 3918: 3916: 3915: 3910: 3905: 3903:Charles Taylor 3900: 3895: 3893:P. F. Strawson 3890: 3885: 3880: 3875: 3870: 3865: 3860: 3855: 3850: 3845: 3840: 3835: 3829: 3827: 3821: 3820: 3818: 3817: 3812: 3807: 3802: 3797: 3792: 3790:Norman Malcolm 3787: 3782: 3777: 3771: 3769: 3765: 3764: 3762: 3761: 3759:J. J. C. Smart 3756: 3751: 3746: 3744:David Chalmers 3741: 3735: 3733: 3724: 3723: 3718: 3713: 3708: 3706:Giuseppe Peano 3703: 3698: 3696:Edmund Gettier 3693: 3688: 3683: 3677: 3675: 3671: 3670: 3667: 3666: 3664: 3663: 3658: 3653: 3651:Possible world 3648: 3643: 3638: 3632: 3630: 3621: 3620: 3615: 3610: 3605: 3603:Counterfactual 3600: 3595: 3584: 3582: 3578: 3577: 3575: 3574: 3569: 3564: 3559: 3554: 3549: 3544: 3539: 3534: 3529: 3524: 3519: 3514: 3509: 3504: 3499: 3494: 3488: 3486: 3482: 3481: 3478: 3477: 3475: 3474: 3469: 3464: 3462:Paraconsistent 3459: 3454: 3449: 3444: 3438: 3436: 3432: 3431: 3429: 3428: 3423: 3418: 3412: 3410: 3406: 3405: 3403: 3402: 3397: 3392: 3387: 3382: 3376: 3374: 3373:Areas of focus 3367: 3363: 3362: 3357: 3355: 3354: 3347: 3340: 3332: 3326: 3325: 3312: 3302: 3292: 3270: 3265: 3263:Gottlob Frege. 3259: 3258: 3257: 3244: 3232: 3231: 3230: 3219: 3202: 3196: 3191: 3180: 3179:External links 3177: 3176: 3175: 3170: 3146: 3145: 3131: 3122: 3113: 3106: 3100: 3099:96(2): 239–60. 3097:Studia Logica, 3090: 3083: 3073: 3063: 3048: 3035: 3023: 3004:Boolos, George 3001: 2994: 2982: 2961: 2960: 2948: 2939: 2929: 2922: 2913: 2890: 2883:Kenny, Anthony 2880: 2873: 2866: 2861:------, 1981. 2859: 2847: 2840: 2833: 2822:Justin Clemens 2808: 2805: 2804: 2803: 2789: 2774: 2767: 2760: 2730: 2723: 2716: 2713: 2698: 2676: 2658: 2655: 2653: 2650: 2647: 2646: 2630: 2616: 2586: 2570: 2553: 2529: 2515: 2501: 2476: 2461: 2438: 2427: 2405: 2390: 2383: 2365: 2350: 2337: 2309: 2295: 2288: 2257: 2241: 2234: 2214: 2202: 2189: 2182: 2155: 2137: 2122: 2098: 2085: 2066: 2054:direct realism 2045: 2029: 2017:Michael Resnik 2006: 1986: 1968: 1967: 1965: 1962: 1959: 1958: 1934: 1917:Boolos, George 1903: 1902: 1900: 1897: 1896: 1895: 1893:Neo-Fregeanism 1890: 1885: 1879: 1878: 1862: 1859: 1858: 1857: 1846: 1845: 1844: 1832: 1829: 1828: 1827: 1820: 1813: 1783: 1782: 1779: 1768: 1767: 1764: 1749: 1748: 1745: 1744:(1892): 25–50. 1727: 1726: 1723: 1707: 1704: 1703: 1702: 1687: 1680: 1647: 1617: 1616: 1598:online version 1589: 1588: 1581: 1562:online version 1552: 1549: 1547: 1544: 1543: 1542: 1531: 1528: 1521: 1514: 1503: 1492: 1485: 1478: 1465: 1462: 1456: 1453: 1431:which praised 1404: 1401: 1382:United Kingdom 1332:Main article: 1329: 1326: 1321:psychologistic 1317: 1316: 1301: 1295: 1288: 1277: 1236: 1233: 1221:Ernst Schröder 1197: 1196: 1177: 1149: 1035:if and only if 831:Title page to 789:Main article: 786: 783: 708: 705: 638: 635: 633: 630: 539:Giuseppe Peano 472: 471: 468: 467: 465: 464: 459: 454: 449: 444: 439: 434: 429: 424: 419: 413: 408: 402: 397: 392: 387: 382: 377: 372: 367: 364: 359: 354: 349: 344: 333: 332: 331: 329: 326: 323: 322: 309: 307:Main interests 306: 303: 302: 297: 293: 292: 287: 283: 282: 276: 270: 269: 267: 266: 258: 249: 247: 241: 240: 235: 231: 230: 187: 181: 180: 175: 171: 170: 161: 157: 156: 153: 152: 132: 126: 125: 122:Dr. phil. hab. 106: 102: 101: 88: 86:(aged 76) 80: 76: 75: 62: 58: 54: 53: 50: 42: 41: 38: 15: 13: 10: 9: 6: 4: 3: 2: 6421: 6410: 6407: 6405: 6402: 6400: 6397: 6395: 6392: 6390: 6389:Set theorists 6387: 6385: 6382: 6380: 6377: 6375: 6372: 6370: 6367: 6365: 6362: 6360: 6357: 6355: 6352: 6350: 6347: 6345: 6342: 6340: 6337: 6335: 6332: 6330: 6327: 6325: 6322: 6320: 6317: 6315: 6312: 6310: 6307: 6305: 6302: 6300: 6297: 6295: 6292: 6290: 6287: 6285: 6282: 6280: 6277: 6275: 6272: 6270: 6267: 6265: 6262: 6260: 6259:Gottlob Frege 6257: 6256: 6254: 6235: 6232: 6230: 6227: 6225: 6222: 6220: 6219:Henri Bergson 6217: 6216: 6214: 6212: 6208: 6203: 6200: 6198: 6195: 6193: 6190: 6188: 6185: 6183: 6180: 6178: 6175: 6173: 6170: 6168: 6165: 6163: 6160: 6158: 6155: 6153: 6152:Alonzo Church 6150: 6148: 6145: 6143: 6140: 6138: 6137:Gottlob Frege 6135: 6133: 6131: 6127: 6124: 6120: 6114: 6113:Aleksei Losev 6111: 6109: 6106: 6104: 6101: 6099: 6096: 6094: 6091: 6089: 6088:Thomas Taylor 6086: 6085: 6077: 6074: 6072: 6069: 6067: 6064: 6062: 6060: 6056: 6050: 6049:Blaise Pascal 6047: 6045: 6042: 6041: 6032: 6029: 6027: 6024: 6022: 6019: 6017: 6014: 6013: 6011: 6009: 6005: 6002: 6000: 5996: 5993: 5989: 5983: 5980: 5978: 5975: 5973: 5970: 5968: 5965: 5963: 5960: 5958: 5955: 5953: 5950: 5948: 5945: 5943: 5940: 5938: 5937:Peter Abelard 5935: 5933: 5930: 5928: 5925: 5923: 5920: 5919: 5917: 5913: 5899: 5896: 5894: 5891: 5889: 5886: 5884: 5881: 5879: 5876: 5874: 5871: 5869: 5866: 5864: 5861: 5859: 5856: 5854: 5851: 5849: 5848:Asclepiodotus 5846: 5844: 5841: 5839: 5836: 5834: 5831: 5829: 5826: 5824: 5821: 5819: 5816: 5814: 5811: 5809: 5806: 5804: 5801: 5799: 5796: 5795: 5793: 5789: 5783: 5780: 5778: 5775: 5773: 5770: 5768: 5765: 5763: 5760: 5758: 5755: 5753: 5750: 5748: 5745: 5743: 5740: 5738: 5735: 5733: 5730: 5728: 5725: 5723: 5720: 5718: 5715: 5713: 5710: 5708: 5705: 5703: 5700: 5698: 5695: 5693: 5690: 5688: 5685: 5683: 5680: 5676: 5673: 5672: 5671: 5668: 5667: 5665: 5663: 5662:Neoplatonists 5659: 5653: 5650: 5648: 5645: 5643: 5640: 5638: 5635: 5633: 5630: 5628: 5625: 5623: 5620: 5618: 5615: 5613: 5610: 5608: 5605: 5603: 5600: 5598: 5595: 5593: 5590: 5588: 5585: 5583: 5582:Justin Martyr 5580: 5578: 5575: 5573: 5570: 5568: 5565: 5563: 5560: 5559: 5557: 5555: 5551: 5537: 5534: 5532: 5529: 5527: 5524: 5522: 5519: 5517: 5514: 5512: 5509: 5507: 5504: 5502: 5499: 5497: 5494: 5493: 5491: 5487: 5481: 5478: 5476: 5472: 5469: 5467: 5464: 5462: 5459: 5457: 5454: 5453: 5451: 5447: 5444: 5442: 5438: 5432: 5429: 5427: 5424: 5422: 5419: 5417: 5414: 5412: 5409: 5407: 5404: 5402: 5399: 5397: 5394: 5392: 5389: 5387: 5384: 5382: 5379: 5377: 5373: 5370: 5368: 5365: 5363: 5360: 5358: 5354: 5351: 5349: 5346: 5344: 5341: 5339: 5336: 5334: 5331: 5329: 5326: 5325: 5323: 5319: 5316: 5314: 5310: 5307: 5303: 5299: 5292: 5287: 5285: 5280: 5278: 5273: 5272: 5269: 5257: 5254: 5252: 5249: 5247: 5244: 5243: 5240: 5234: 5231: 5227: 5224: 5223: 5222: 5219: 5217: 5214: 5212: 5211:Scholasticism 5209: 5207: 5204: 5202: 5199: 5197: 5194: 5192: 5189: 5187: 5184: 5182: 5179: 5178: 5176: 5172: 5163: 5162: 5158: 5153: 5152: 5148: 5143: 5142: 5138: 5133: 5132: 5128: 5123: 5122: 5118: 5113: 5112: 5108: 5103: 5102: 5098: 5093: 5092: 5088: 5082: 5078: 5073: 5072: 5068: 5063: 5062: 5058: 5053: 5052: 5048: 5043: 5042: 5038: 5033: 5032: 5028: 5027: 5025: 5021: 5015: 5014: 5010: 5008: 5005: 5003: 5000: 4998: 4995: 4993: 4990: 4988: 4985: 4983: 4980: 4978: 4975: 4973: 4970: 4968: 4965: 4963: 4960: 4958: 4955: 4953: 4950: 4948: 4945: 4943: 4940: 4938: 4935: 4933: 4930: 4928: 4925: 4923: 4920: 4918: 4915: 4913: 4910: 4908: 4905: 4903: 4900: 4898: 4895: 4893: 4890: 4888: 4885: 4883: 4880: 4879: 4877: 4873: 4867: 4864: 4862: 4859: 4857: 4854: 4851: 4847: 4844: 4842: 4839: 4837: 4834: 4832: 4829: 4827: 4826:Structuralism 4824: 4822: 4819: 4817: 4814: 4812: 4809: 4807: 4804: 4802: 4799: 4797: 4794: 4792: 4789: 4787: 4784: 4782: 4779: 4777: 4774: 4772: 4769: 4767: 4764: 4762: 4759: 4757: 4754: 4752: 4751:Descriptivism 4749: 4747: 4744: 4742: 4739: 4737: 4734: 4732: 4731:Contrastivism 4729: 4727: 4724: 4722: 4719: 4718: 4716: 4714: 4710: 4704: 4701: 4699: 4696: 4694: 4691: 4689: 4686: 4684: 4681: 4679: 4676: 4674: 4671: 4669: 4666: 4664: 4661: 4659: 4656: 4654: 4651: 4649: 4646: 4644: 4641: 4639: 4636: 4634: 4631: 4629: 4626: 4624: 4621: 4619: 4616: 4614: 4611: 4609: 4606: 4604: 4601: 4599: 4596: 4594: 4591: 4589: 4586: 4584: 4581: 4579: 4576: 4574: 4571: 4569: 4566: 4564: 4561: 4559: 4556: 4554: 4551: 4549: 4546: 4544: 4541: 4539: 4536: 4534: 4531: 4529: 4526: 4524: 4521: 4519: 4516: 4514: 4511: 4509: 4506: 4504: 4501: 4499: 4496: 4494: 4491: 4489: 4486: 4484: 4481: 4479: 4476: 4474: 4471: 4469: 4466: 4465: 4463: 4461: 4457: 4453: 4448: 4444: 4437: 4432: 4430: 4425: 4423: 4418: 4417: 4414: 4402: 4394: 4392: 4384: 4383: 4380: 4370: 4369:Alfred Tarski 4367: 4365: 4362: 4361: 4359: 4355: 4349: 4346: 4344: 4341: 4339: 4338:Peter Galison 4336: 4334: 4331: 4329: 4326: 4325: 4323: 4321: 4317: 4311: 4308: 4306: 4303: 4301: 4298: 4297: 4295: 4291: 4285: 4282: 4280: 4277: 4275: 4272: 4271: 4269: 4265: 4259: 4256: 4254: 4251: 4249: 4246: 4245: 4243: 4241: 4237: 4231: 4228: 4226: 4225:Nathan Salmon 4223: 4221: 4220:Richard Rorty 4218: 4216: 4213: 4211: 4208: 4206: 4203: 4201: 4198: 4196: 4193: 4191: 4190:Alonzo Church 4188: 4187: 4185: 4181: 4175: 4172: 4170: 4167: 4165: 4162: 4161: 4159: 4157: 4153: 4147: 4144: 4142: 4139: 4137: 4134: 4132: 4129: 4127: 4126:Ruth Millikan 4124: 4122: 4121:John McDowell 4119: 4117: 4114: 4112: 4109: 4107: 4104: 4102: 4099: 4098: 4096: 4094: 4090: 4084: 4081: 4079: 4076: 4075: 4073: 4069: 4063: 4060: 4058: 4055: 4053: 4052:Hilary Putnam 4050: 4048: 4047:Robert Nozick 4045: 4043: 4040: 4038: 4035: 4033: 4030: 4028: 4025: 4023: 4020: 4018: 4015: 4014: 4012: 4008: 3998: 3995: 3993: 3990: 3988: 3985: 3983: 3980: 3978: 3977:Rudolf Carnap 3975: 3974: 3972: 3970: 3969:Vienna Circle 3966: 3960: 3957: 3955: 3952: 3951: 3949: 3947: 3946:Berlin Circle 3943: 3937: 3934: 3932: 3929: 3928: 3926: 3924: 3920: 3914: 3911: 3909: 3906: 3904: 3901: 3899: 3896: 3894: 3891: 3889: 3886: 3884: 3881: 3879: 3876: 3874: 3871: 3869: 3866: 3864: 3861: 3859: 3856: 3854: 3853:Philippa Foot 3851: 3849: 3846: 3844: 3841: 3839: 3836: 3834: 3831: 3830: 3828: 3826: 3822: 3816: 3813: 3811: 3808: 3806: 3803: 3801: 3800:Graham Priest 3798: 3796: 3793: 3791: 3788: 3786: 3783: 3781: 3780:Charlie Broad 3778: 3776: 3773: 3772: 3770: 3766: 3760: 3757: 3755: 3752: 3750: 3747: 3745: 3742: 3740: 3737: 3736: 3734: 3732: 3728: 3722: 3719: 3717: 3714: 3712: 3709: 3707: 3704: 3702: 3699: 3697: 3694: 3692: 3691:Gottlob Frege 3689: 3687: 3684: 3682: 3679: 3678: 3676: 3672: 3662: 3659: 3657: 3654: 3652: 3649: 3647: 3644: 3642: 3639: 3637: 3634: 3633: 3631: 3629: 3625: 3619: 3618:Supervenience 3616: 3614: 3611: 3609: 3606: 3604: 3601: 3599: 3596: 3593: 3589: 3586: 3585: 3583: 3579: 3573: 3570: 3568: 3565: 3563: 3560: 3558: 3555: 3553: 3550: 3548: 3545: 3543: 3540: 3538: 3535: 3533: 3530: 3528: 3525: 3523: 3520: 3518: 3517:Functionalism 3515: 3513: 3510: 3508: 3505: 3503: 3502:Descriptivism 3500: 3498: 3495: 3493: 3490: 3489: 3487: 3483: 3473: 3470: 3468: 3467:Philosophical 3465: 3463: 3460: 3458: 3457:Non-classical 3455: 3453: 3450: 3448: 3445: 3443: 3440: 3439: 3437: 3433: 3427: 3424: 3422: 3419: 3417: 3414: 3413: 3411: 3407: 3401: 3398: 3396: 3393: 3391: 3388: 3386: 3383: 3381: 3378: 3377: 3375: 3371: 3368: 3364: 3360: 3353: 3348: 3346: 3341: 3339: 3334: 3333: 3330: 3323: 3319: 3318: 3313: 3310: 3306: 3303: 3300: 3296: 3293: 3290: 3286: 3285: 3280: 3276: 3271: 3269: 3266: 3264: 3260: 3255: 3251: 3248: 3245: 3242: 3241:Gottlob Frege 3239: 3238: 3236: 3233: 3228: 3224: 3220: 3217: 3213: 3212:Gottlob Frege 3209: 3208: 3206: 3203: 3200: 3197: 3195: 3192: 3190: 3186: 3183: 3182: 3178: 3173: 3171:9780226224848 3167: 3163: 3162: 3157: 3153: 3152: 3151: 3150: 3143: 3139: 3135: 3132: 3129: 3128: 3123: 3120: 3119: 3114: 3111: 3107: 3104: 3101: 3098: 3094: 3091: 3088: 3084: 3081: 3077: 3074: 3071: 3067: 3064: 3061: 3057: 3053: 3049: 3046: 3042: 3041: 3036: 3033: 3032: 3027: 3024: 3021: 3017: 3013: 3009: 3005: 3002: 2999: 2995: 2992: 2991: 2986: 2983: 2980: 2976: 2972: 2968: 2967: 2966: 2965: 2958: 2957: 2952: 2949: 2946: 2945: 2940: 2937: 2936:Gottlob Frege 2933: 2930: 2927: 2923: 2920: 2919: 2914: 2911: 2907: 2903: 2899: 2895: 2891: 2888: 2884: 2881: 2878: 2874: 2871: 2867: 2864: 2860: 2857: 2856: 2851: 2848: 2845: 2841: 2838: 2834: 2831: 2827: 2826:Sam Gillespie 2823: 2819: 2818:Badiou, Alain 2816: 2815: 2814: 2813: 2806: 2801: 2797: 2793: 2790: 2787: 2783: 2779: 2775: 2772: 2768: 2765: 2761: 2758: 2754: 2750: 2746: 2743: 2739: 2735: 2731: 2728: 2724: 2721: 2717: 2714: 2711: 2707: 2703: 2699: 2696: 2693:, ed., 1967. 2692: 2688: 2684: 2682: 2677: 2674: 2673: 2668: 2665:(compiled by 2664: 2661: 2660: 2656: 2651: 2642: 2641: 2634: 2631: 2627: 2623: 2619: 2613: 2609: 2605: 2601: 2597: 2590: 2587: 2583: 2579: 2574: 2571: 2567: 2563: 2557: 2554: 2546: 2539: 2533: 2530: 2525: 2519: 2516: 2511: 2505: 2502: 2499: 2495: 2494: 2489: 2485: 2480: 2477: 2472: 2468: 2464: 2458: 2454: 2453: 2445: 2443: 2439: 2434: 2430: 2424: 2419: 2418: 2409: 2406: 2402: 2401: 2394: 2391: 2386: 2380: 2376: 2369: 2366: 2362: 2361: 2354: 2351: 2347: 2341: 2338: 2335: 2333: 2328: 2324: 2323: 2318: 2313: 2310: 2305: 2299: 2296: 2291: 2285: 2281: 2277: 2273: 2272: 2267: 2261: 2258: 2254: 2248: 2246: 2242: 2237: 2235:9780521863278 2231: 2227: 2226: 2218: 2215: 2212: 2206: 2203: 2199: 2193: 2190: 2185: 2183:0-02-866072-2 2179: 2175: 2171: 2170: 2165: 2159: 2156: 2152: 2151: 2146: 2141: 2138: 2134: 2133: 2126: 2123: 2119: 2115: 2111: 2107: 2102: 2099: 2095: 2089: 2086: 2082: 2078: 2073: 2071: 2067: 2063: 2059: 2055: 2049: 2046: 2042: 2038: 2033: 2030: 2026: 2022: 2018: 2013: 2011: 2007: 2003: 1999: 1995: 1990: 1987: 1982: 1981: 1973: 1970: 1963: 1953: 1948: 1944: 1938: 1935: 1931: 1928: 1927: 1922: 1918: 1914: 1908: 1905: 1898: 1894: 1891: 1889: 1886: 1884: 1881: 1880: 1876: 1865: 1860: 1855: 1851: 1847: 1842: 1841: 1839: 1835: 1834: 1830: 1825: 1821: 1818: 1814: 1811: 1807: 1806: 1805: 1803: 1799: 1795: 1791: 1787: 1780: 1777: 1773: 1772: 1771: 1765: 1762: 1758: 1757: 1756: 1754: 1746: 1743: 1741: 1736: 1735: 1734: 1732: 1724: 1721: 1717: 1716: 1715: 1713: 1705: 1700: 1696: 1692: 1688: 1685: 1681: 1678: 1674: 1671: 1667: 1663: 1660: 1656: 1652: 1648: 1645: 1641: 1637: 1633: 1629: 1628: 1627: 1625: 1621: 1614: 1610: 1608: 1603: 1602: 1601: 1599: 1595: 1594: 1586: 1582: 1579: 1575: 1571: 1567: 1566: 1565: 1563: 1559: 1558: 1550: 1545: 1540: 1537:(now part of 1536: 1532: 1529: 1526: 1522: 1519: 1515: 1512: 1508: 1504: 1501: 1497: 1493: 1490: 1486: 1483: 1479: 1476: 1472: 1468: 1467: 1463: 1461: 1454: 1452: 1450: 1446: 1442: 1438: 1434: 1430: 1427: 1423: 1419: 1414: 1410: 1402: 1400: 1398: 1394: 1390: 1385: 1383: 1380:of the word " 1379: 1375: 1371: 1365: 1363: 1359: 1355: 1351: 1349: 1346:("Sinn") and 1345: 1341: 1335: 1327: 1325: 1322: 1314: 1310: 1306: 1302: 1299: 1296: 1293: 1290:Principle of 1289: 1286: 1282: 1278: 1275: 1271: 1268: 1267: 1266: 1264: 1260: 1256: 1241: 1234: 1232: 1231:(1889–1951). 1230: 1226: 1225:Rudolf Carnap 1222: 1218: 1214: 1210: 1209: 1204: 1203: 1194: 1190: 1186: 1182: 1178: 1174: 1170: 1166: 1162: 1158: 1154: 1150: 1147: 1143: 1139: 1135: 1132:is small or ∀ 1131: 1127: 1123: 1119: 1115: 1111: 1107: 1103: 1102:George Boolos 1099: 1098: 1097: 1095: 1091: 1087: 1082: 1080: 1075: 1071: 1067: 1063: 1059: 1055: 1051: 1047: 1043: 1038: 1036: 1032: 1028: 1024: 1020: 1017: 1013: 1010:} denote the 1009: 1005: 1000: 998: 994: 990: 986: 982: 977: 972: 971: 966: 962: 958: 954: 953: 947: 945: 941: 937: 933: 927: 925: 924:Alfred Tarski 921: 918:'s (1906–78) 917: 913: 909: 905: 901: 900: 895: 894:prime numbers 891: 886: 884: 880: 876: 872: 871:if... then... 868: 864: 861: 857: 853: 849: 845: 842: 834: 829: 825: 823: 819: 815: 811: 805: 801: 800: 792: 784: 782: 778: 776: 770: 768: 767:Hermann Lotze 764: 760: 756: 751: 749: 745: 741: 737: 733: 729: 725: 720: 718: 714: 706: 704: 702: 698: 691: 686: 681: 679: 675: 671: 667: 662: 660: 656: 652: 648: 644: 636: 631: 629: 627: 623: 620:, concerning 619: 615: 611: 607: 603: 602:descriptivism 599: 595: 591: 587: 583: 579: 575: 574: 569: 565: 564: 559: 554: 552: 548: 544: 541:(1858–1932), 540: 536: 532: 528: 524: 520: 515: 505: 478: 469: 463: 460: 458: 455: 453: 450: 448: 445: 443: 440: 438: 435: 433: 430: 428: 425: 423: 420: 417: 414: 412: 409: 406: 403: 401: 398: 396: 393: 391: 388: 386: 383: 381: 378: 376: 373: 371: 368: 365: 363: 360: 358: 355: 353: 350: 348: 345: 343: 340: 330: 327:Notable ideas 321: 317: 313: 310: 304: 301: 300:Rudolf Carnap 298: 294: 291: 288: 284: 280: 277: 275: 271: 264: 263: 259: 256: 255: 251: 250: 248: 246: 242: 239: 236: 232: 229: 225: 221: 216: 212:(before 1891) 211: 207: 203: 199: 195: 191: 188: 186: 182: 179: 176: 172: 169: 165: 162: 158: 154: 150: 145: 144: 138: 137: 133: 127: 123: 119: 114: 110: 107: 103: 99: 95: 91: 81: 77: 73: 69: 65: 59: 55: 48: 43: 39:Gottlob Frege 36: 33: 29: 28:Gottlob Frick 22: 6172:David Kaplan 6136: 6122:Contemporary 6103:Josiah Royce 5888:Olympiodorus 5803:Asclepigenia 5722:Chrysanthius 5159: 5149: 5139: 5129: 5119: 5109: 5099: 5089: 5069: 5059: 5049: 5039: 5029: 5011: 4952:Metalanguage 4947:Logical form 4902:Truth-bearer 4861:Unilalianism 4771:Expressivism 4598:Wittgenstein 4562: 4543:von Humboldt 4460:Philosophers 4258:Cora Diamond 4174:Morton White 4042:Thomas Nagel 3987:Otto Neurath 3936:Ernest Nagel 3883:Gilbert Ryle 3878:Derek Parfit 3838:J. L. Austin 3785:Casimir Lewy 3754:Peter Singer 3749:J. L. Mackie 3721:Barry Stroud 3690: 3681:Noam Chomsky 3674:Philosophers 3608:Natural kind 3492:Anti-realism 3452:Mathematical 3426:Performative 3385:Epistemology 3316: 3305:grundgesetze 3282: 3227:Edward Zalta 3225:" — by 3216:Edward Zalta 3214:" — by 3160: 3148: 3147: 3141: 3137: 3125: 3116: 3096: 3079: 3069: 3059: 3056:Grundgesetze 3055: 3052:Wehmeier, K. 3038: 3029: 3007: 2998:Fixing Frege 2997: 2988: 2978: 2971:Edward Zalta 2963: 2962: 2954: 2951:Weiner, Joan 2942: 2938:. Routledge. 2935: 2925: 2916: 2893: 2886: 2876: 2869: 2862: 2853: 2843: 2836: 2829: 2811: 2810: 2799: 2785: 2781: 2777: 2770: 2763: 2756: 2752: 2737: 2733: 2726: 2719: 2709: 2706:J. L. Austin 2701: 2694: 2686: 2679: 2670: 2639: 2633: 2599: 2589: 2582:Steve Awodey 2577: 2573: 2565: 2561: 2556: 2532: 2518: 2504: 2491: 2487: 2479: 2451: 2431:– via 2416: 2408: 2398: 2393: 2375:Fixing Frege 2374: 2368: 2359: 2353: 2345: 2340: 2331: 2326: 2321: 2312: 2298: 2270: 2260: 2252: 2224: 2217: 2205: 2197: 2192: 2167: 2158: 2148: 2140: 2130: 2125: 2117: 2101: 2093: 2088: 2061: 2048: 2040: 2037:Tom Rockmore 2032: 2024: 2001: 1989: 1979: 1972: 1942: 1941:The journal 1937: 1929: 1924: 1920: 1912: 1907: 1883:Frege system 1854:posthumously 1849: 1837: 1823: 1816: 1809: 1801: 1797: 1793: 1789: 1785: 1784: 1775: 1769: 1760: 1750: 1738: 1728: 1709: 1690: 1689:In English: 1683: 1650: 1643: 1631: 1619: 1618: 1613:J. L. Austin 1605: 1604:In English: 1591: 1590: 1584: 1577: 1569: 1568:In English: 1555: 1554: 1523:1896 — 1516:1879 — 1507:Habilitation 1505:1874 — 1458: 1433:Adolf Hitler 1428: 1406: 1386: 1377: 1369: 1366: 1361: 1358:proper names 1353: 1352: 1347: 1343: 1337: 1318: 1308: 1284: 1252: 1217:George Boole 1206: 1200: 1198: 1193:constructive 1176:Arithmetic". 1168: 1164: 1160: 1156: 1141: 1137: 1133: 1129: 1125: 1121: 1117: 1113: 1109: 1105: 1094:Grundgesetze 1093: 1083: 1073: 1069: 1066:Grundgesetze 1065: 1061: 1057: 1053: 1049: 1042:Grundgesetze 1041: 1039: 1030: 1026: 1022: 1018: 1007: 1003: 1001: 996: 992: 988: 984: 980: 968: 964: 960: 956: 950: 948: 939: 928: 897: 887: 882: 878: 874: 870: 866: 862: 838: 832: 809: 803: 798: 794: 779: 771: 752: 742:(1824–1907; 740:Kuno Fischer 721: 710: 682: 669: 663: 640: 626:propositions 614:psychologism 605: 571: 561: 555: 476: 475: 265: (1874) 261: 257: (1873) 253: 234:Institutions 217:(after 1891) 148: 141: 134: 130:Notable work 98:German Reich 84:(1925-07-26) 82:26 July 1925 32: 6339:Ontologists 6269:1925 deaths 6264:1848 births 6234:Leo Strauss 6211:Continental 6177:Saul Kripke 6142:G. E. Moore 6076:Anne Conway 5999:Renaissance 5962:Bonaventure 5511:Clitomachus 5348:Aristonymus 5196:Linguistics 5161:Limited Inc 5081:On Denoting 4907:Proposition 4558:de Saussure 4523:Ibn Khaldun 4357:Lwow-Warsaw 4343:Ian Hacking 4310:Karl Popper 4305:Thomas Kuhn 4253:Alice Crary 4215:Saul Kripke 4210:Jaegwon Kim 4205:David Lewis 4195:Jerry Fodor 4164:Susan Haack 4078:Robert Audi 3888:John Searle 3858:Peter Geach 3848:Antony Flew 3795:G. E. Moore 3716:Ernest Sosa 3646:Possibility 3395:Mathematics 3380:Metaphysics 2932:Sluga, Hans 2792:Peter Geach 1950: [ 1636:Peter Geach 1535:Bad Kleinen 1496:mathematics 1455:Personality 1393:Saul Kripke 1389:On Denoting 1274:proposition 1248: 1905 1235:Philosopher 1185:predicative 976:Basic Law V 852:mathematics 688: [ 606:Foundations 594:The Thought 535:mathematics 432:Basic Law V 400:Third Realm 151:(1893–1903) 90:Bad Kleinen 6384:Platonists 6253:Categories 6147:Kurt Gödel 6071:Henry More 5873:Simplicius 5692:Iamblichus 5456:Arcesilaus 5416:Xenocrates 5396:Speusippus 5372:Heraclides 5298:Platonists 5256:Discussion 5251:Task Force 5201:Pragmatics 4992:Speech act 4922:Categories 4836:Symbiosism 4791:Nominalism 4703:Watzlawick 4583:Bloomfield 4503:Chrysippus 4333:John Dupré 4200:Kurt Gödel 4156:Pragmatism 4071:Notre Dame 4062:John Rawls 3931:A. J. Ayer 3868:R. M. Hare 3863:Paul Grice 3775:Arif Ahmed 3562:Sense data 3547:Pragmatism 3421:Linguistic 3142:Grundlagen 3020:arithmetic 2812:Philosophy 2484:Hans Sluga 2471:1017997313 1994:Hans Sluga 1964:References 1856:published. 1819:: 143–157. 1422:Ludendorff 1403:1924 diary 1376:. But the 1189:finitistic 1050:membership 932:arithmetic 916:Kurt Gödel 697:alma mater 6059:Cambridge 5927:Al-Farabi 5868:Damascius 5858:Zenodotus 5808:Hierocles 5777:Macrobius 5772:Augustine 5757:Antoninus 5707:Sosipatra 5652:Calcidius 5562:Antiochus 5516:Charmadas 5496:Carneades 5480:Hegesinus 5333:Aristotle 5313:Academics 5233:Semiotics 5221:Semantics 5071:Alciphron 5007:Statement 4942:Intension 4882:Ambiguity 4761:Dramatism 4741:Cratylism 4493:Eubulides 4488:Aristotle 4468:Confucius 4183:Princeton 3982:Hans Hahn 3768:Cambridge 3641:Necessity 3636:Actualism 3507:Emotivism 3472:Predicate 3442:Classical 3062:: 301–11. 2973:, 2004, " 2904:; and 3. 2902:Semantics 2807:Secondary 2796:Max Black 2626:242262152 1755:" (1892) 1733:" (1892) 1714:" (1891) 1657:), 2006: 1640:Max Black 1509:at Jena; 1354:Reference 1348:reference 1265:include: 1016:predicate 1012:extension 922:, and to 841:axiomatic 818:variables 814:functions 618:formalism 610:Platonism 551:Aristotle 105:Education 6130:Analytic 5915:Medieval 5878:Priscian 5813:Syrianus 5782:Boethius 5737:Salutius 5717:Dexippus 5712:Aedesius 5687:Porphyry 5675:Students 5670:Plotinus 5632:Longinus 5607:Apuleius 5597:Alcinous 5577:Plutarch 5471:Telecles 5441:Skeptics 5353:Coriscus 5246:Category 5206:Rhetoric 5031:Cratylus 5002:Sentence 4977:Property 4897:Language 4875:Concepts 4713:Theories 4678:Strawson 4663:Davidson 4653:Hintikka 4648:Anscombe 4593:Vygotsky 4548:Mauthner 4518:Averroes 4508:Zhuangzi 4498:Diodorus 4478:Cratylus 4391:Category 4267:Reformed 4240:Quietism 3628:Modality 3588:Analysis 3581:Concepts 3552:Quietism 3512:Feminism 3485:Theories 3390:Language 3315:Frege's 3250:Archived 3158:(1997), 3136:, 1983. 3078:, 1982. 3068:, 2000. 3028:, 1991. 3016:logicist 3014:and the 3006:, 1998. 2987:, 2012, 2953:, 1990. 2934:, 1980. 2898:Ontology 2885:, 1995. 2852:, 1973. 2745:Archived 2740:, 1903. 2708:, 1974. 2545:Archived 2116:(1967), 2056:in his " 1861:See also 1826:: 36–51. 1812:: 58–77. 1673:Archived 1662:Archived 1527:at Jena. 1520:at Jena. 1500:geometry 1418:Bismarck 1370:referent 1270:Function 936:logicism 678:language 666:textbook 612:against 578:logicist 375:logicism 206:Logicism 6016:Plethon 5952:Thierry 5947:Gilbert 5942:Bernard 5863:Agapius 5838:Isidore 5833:Marinus 5828:Proclus 5823:Aedesia 5818:Hermias 5791:Academy 5762:Hypatia 5697:Sopater 5682:Amelius 5612:Atticus 5592:Albinus 5475:Evander 5466:Lacydes 5426:Polemon 5421:Crantor 5338:Eudoxus 5305:Ancient 5013:more... 4917:Concept 4658:Dummett 4633:Gadamer 4628:Chomsky 4613:Derrida 4603:Russell 4588:Bergson 4573:Tillich 4533:Leibniz 4473:Gorgias 4293:Science 4010:Harvard 3656:Realism 3532:Marxism 3447:Deviant 3416:Aretaic 3400:Science 3295:Begriff 3187:at the 2981:: 1–26. 2830:UMBR(a) 2786:Inquiry 2738:Band II 2657:Primary 2652:Sources 2566:Inquiry 2145:"Frege" 2025:Inquiry 2002:Inquiry 1720:address 1670:Band II 1576:(ed.), 1409:Dummett 1243:Frege, 1090:Dummett 1081:1967.) 1014:of the 744:Kantian 622:numbers 598:meaning 592:" and " 560:in the 510:German: 124:, 1874) 115:, 1873) 5991:Modern 5932:Anselm 5853:Hegias 5732:Julian 5642:Origen 5531:Cicero 5449:Middle 5165:(1988) 5155:(1982) 5145:(1980) 5135:(1967) 5125:(1953) 5115:(1951) 5105:(1936) 5095:(1921) 5085:(1905) 5075:(1732) 5065:(1668) 5055:(1666) 5045:(1660) 5035:(n.d.) 4997:Symbol 4698:Searle 4688:Putnam 4638:Kripke 4623:Austin 4608:Carnap 4553:Ricœur 4538:Herder 4528:Hobbes 3825:Oxford 3168:  2780:. In: 2732:1893. 2700:1884. 2678:1879. 2624:  2614:  2469:  2459:  2425:  2381:  2286:  2232:  2180:  1848:1967: 1697:  1659:Band I 1572:, in: 1471:Wismar 877:, and 835:(1879) 728:planes 659:Polish 643:Wismar 533:, and 395:sortal 335:  245:Theses 185:School 174:Region 146:(1884) 139:(1879) 64:Wismar 5587:Gaius 5328:Plato 5023:Works 4932:Class 4693:Lewis 4683:Quine 4668:Grice 4618:Whorf 4578:Sapir 4563:Frege 4513:Xunzi 4483:Plato 4401:Index 3435:Logic 3409:Turns 3322:LaTeX 3309:LaTeX 3299:LaTeX 2906:Logic 2900:; 2. 2622:S2CID 2548:(PDF) 2541:(PDF) 2493:Forvm 2332:Frege 1954:] 1899:Notes 1378:sense 1362:sense 1344:sense 1300:; and 914:, to 822:logic 802:[ 692:] 674:logic 604:. In 531:logic 5473:and 5374:and 5355:and 4982:Sign 4887:Cant 4673:Ryle 4643:Ayer 4568:Boas 3307:, a 3297:, a 3166:ISBN 2908:and 2824:and 2794:and 2612:ISBN 2467:OCLC 2457:ISBN 2423:ISBN 2379:ISBN 2284:ISBN 2230:ISBN 2178:ISBN 1926:Mind 1695:ISBN 1668:and 1638:and 1128:nor 1070:both 1029:and 881:and 879:some 816:and 746:and 699:the 632:Life 624:and 600:and 79:Died 57:Born 5489:New 5321:Old 4927:Set 3058:," 2977:," 2604:doi 2276:doi 2023:," 2000:," 1996:, " 1923:," 1642:in 1600:). 1564:). 1399:". 1191:or 1074:and 1072:is 883:all 875:not 863:and 750:). 726:of 676:of 616:or 160:Era 113:PhD 6255:: 5083:" 3287:, 3281:, 3277:, 3237:: 3207:: 2828:. 2675:). 2669:, 2620:, 2610:, 2598:, 2543:. 2486:: 2465:. 2441:^ 2282:. 2244:^ 2176:. 2147:. 2079:; 2069:^ 2039:, 2019:, 2009:^ 1952:de 1930:94 1626:. 1541:). 1473:, 1287:); 1245:c. 1142:Gx 1140:↔ 1138:Fx 1031:Gx 1027:Fx 1023:Gx 1019:Fx 1008:Fx 999:. 873:, 869:, 867:or 865:, 703:. 690:de 680:. 645:, 529:, 508:; 495:eɪ 418:, 318:, 314:, 96:, 92:, 70:, 66:, 5290:e 5283:t 5276:v 5079:" 4852:) 4848:( 4435:e 4428:t 4421:v 3594:) 3590:( 3351:e 3344:t 3337:v 3229:. 3221:" 3218:. 3210:" 3022:. 2912:. 2606:: 2526:. 2512:. 2473:. 2435:. 2387:. 2306:. 2292:. 2278:: 2238:. 2186:. 2153:. 2083:. 1956:. 1792:( 1751:" 1742:C 1729:" 1710:" 1701:. 1679:. 1513:. 1498:( 1491:. 1484:. 1477:. 1315:. 1307:( 1294:; 1283:( 1276:; 1169:G 1165:F 1161:G 1157:F 1136:( 1134:x 1130:G 1126:F 1122:G 1118:F 1114:R 1110:F 1106:F 1062:x 1058:x 1054:x 1006:| 1004:x 997:x 993:x 991:( 989:g 985:x 983:( 981:f 963:( 955:( 504:/ 501:ə 498:ɡ 492:r 489:f 486:ˈ 483:/ 479:( 120:( 111:( 30:. 23:.

Index

Frege (surname)
Gottlob Frick

Wismar
Grand Duchy of Mecklenburg-Schwerin
German Confederation
Bad Kleinen
Free State of Mecklenburg-Schwerin
German Reich
University of Göttingen
PhD
University of Jena
Dr. phil. hab.
Begriffsschrift
The Foundations of Arithmetic
19th-century philosophy
20th-century philosophy
Western philosophy
School
Analytic philosophy
Linguistic turn
Logical objectivism
Modern Platonism
Logicism
Transcendental idealism
Metaphysical realism
Foundationalism
Indirect realism
Redundancy theory of truth
University of Jena

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