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Gottlob Frege

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730:(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. 896:, 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". 3195: 1251: 4398: 4408: 58: 1880: 664:). 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 1335:
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?"
1371:, 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 1088:
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
1361:("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. 1186:
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.
839: 780:(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. 1470:
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
1375:(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. 1048:∀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.) 978:, 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 1446:. 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 1099:, 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, 2501:, 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: 5071: 683:(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 6354: 1750: 2766:. 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, 1863:. (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), 1598:, Cambridge: Cambridge University Press, 2005: "Appendix A. Begriffsschrift in Modern Notation: (1) to (51)" and "Appendix B. Begriffsschrift in Modern Notation: (52) to (68)." 3116:, 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. 1216:
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
726:. 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 2160: 764:
Starting in 1871, Frege continued his studies in Göttingen, the leading university in mathematics in German-speaking territories, where he attended the lectures of
6419: 2850:. Oxford University Press. — Vigorous, if controversial, criticism of both Frege's philosophy and influential contemporary interpretations such as Dummett's. 907:. Frege's "conceptual notation", however, can represent such inferences. The analysis of logical concepts and the machinery of formalization that is essential to 3360: 2123:'s "Bausteine der mathematischen Logik", pp. 355–357, esp. 355. Translated by Stefan Bauer-Mengelberg as "On the building blocks of mathematical logic" in 5261: 6309: 6289: 432: 271: 2954: 5161: 6409: 2606: 1182:
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
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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)
6404: 6319: 3527: 104: 3353: 3180: 2244: 2192: 1423: 1231: 560:(1889–1951) introduced his work to later generations of philosophers. Frege is widely considered to be the greatest logician since 4470: 3050: 3041: 1962: 608: 6329: 5908: 5256: 4430: 769: 528:; 8 November 1848 – 26 July 1925) was a German philosopher, logician, and mathematician. He was a mathematics professor at the 289: 6374: 6324: 5642: 5236: 5101: 4338: 2575:, vol. 42, 1994, pp. 1057–98. Introduction by the editors on pp. 1057–66. This article has been translated into English, in: 866: 3260: 2755: 1704:, translated and edited with an introduction by Philip A. Ebert and Marcus Rossberg. Oxford: Oxford University Press, 2013. 675:
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
1407: 1056: 773: 225: 82: 3011:. Princeton Univ. Press. — A critical survey of the ongoing rehabilitation of Frege's logicism. 776:(1804–91; physical studies, applied physics), Eduard Riecke (1845–1915; theory of electricity), and 6394: 6140: 6108: 5962: 5952: 5843: 5597: 5451: 5436: 5421: 5416: 5401: 5382: 5377: 5363: 5285: 5201: 5191: 5041: 4997: 4831: 4608: 4523: 4116: 4047: 3825: 3656: 3638: 3602: 3522: 3477: 3467: 3369: 3285: 3103: 2995: 2907:. University of Illinois Press. — 31 essays by philosophers, grouped under three headings: 1. 2701: 2124: 1799:(1918–1923). Frege intended that the following three papers be published together in a book titled 1584: 1455: 1344: 1315: 1265: 1239: 1163: 1089: 900: 785: 758: 665: 557: 541: 533: 472: 437: 410: 390: 208: 200: 6103: 6036: 5808: 5782: 5757: 5752: 5737: 5632: 5411: 5367: 5051: 4947: 4942: 4866: 4841: 4643: 4628: 4593: 4289: 4007: 3964: 3933: 3923: 3883: 3741: 3721: 3582: 3542: 3537: 3462: 2632: 1989: 1811:, ed. G. Patzig, Vandenhoeck & Ruprecht, 1966, and English translations appeared together in 1763: 1492: 1447: 1291: 1223: 1191: 984:, though not without some significant changes. The one truly new principle was one he called the 711: 529: 400: 380: 372: 326: 248: 188: 128: 4374: 3055: 3022: 2900:. Penguin Books. — Excellent non-technical introduction and overview of Frege's philosophy. 2713:
Die Grundlagen der Arithmetik: Eine logisch-mathematische Untersuchung über den Begriff der Zahl
2008: 1994:. Metaphysics Research Lab, Stanford University – via Stanford Encyclopedia of Philosophy. 1604:
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
1234:(1841–1902). Frege's logical ideas nevertheless spread through the writings of his student 1063:
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
2777:. Leipzig: Barth: 656–666. Translation: "What is a Function?" in Geach and Black (1980). 2649: 6239: 6234: 6207: 6076: 6054: 5992: 5967: 5353: 4977: 4932: 4756: 4688: 4563: 4558: 4358: 4240: 4111: 4042: 4037: 4002: 3903: 3800: 3769: 3754: 3716: 3706: 3661: 3436: 3144: 2832: 2721:
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
1435:. In an entry dated 5 May 1924 Frege expressed agreement with an article published in 838: 6263: 6229: 6162: 6157: 6123: 6059: 5947: 5592: 5221: 4836: 4741: 4736: 4698: 4618: 4598: 4538: 4379: 4348: 4343: 4235: 4230: 4210: 4200: 4166: 4136: 4131: 4062: 4057: 3987: 3979: 3956: 3863: 3810: 3666: 3628: 3557: 3457: 3426: 3014: 2985: 2893: 2836: 2636: 1927: 1697:, edited by T. Müller, B. Schröder, and R. Stuhlmann-Laeisz, Paderborn: mentis, 2009. 1235: 1112: 934: 926: 777: 669: 310: 38: 1594:
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
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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).
2694:, eine der arithmetischen nachgebildete Formelsprache des reinen Denkens 1402:"; the controversy has continued into the present, fueled especially by 672:
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)
607:" are also widely cited. The former argues for two different types of 5863: 5652: 5541: 5007: 3251: 2534: 2279:(4 April 2019). "2 - Education through University Days (1854–1874)". 2087: 1481: 1206:
methods, but it can interpret only very weak fragments of arithmetic.
653: 632: 405: 255: 74: 17: 3278: 3065:, 2002, "On the consistency of the Delta-1-1-CA fragment of Frege's 741:, analytical mechanics, optics, physical foundations of mechanics); 2706:
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
1657:, New York, NY: Philosophical Library, 1952, pp. 137–158. 1322:) of names and other expressions, sometimes said to involve a 957:, were derived within what Frege understood to be pure logic. 123: 5277: 2811:
Translations from the Philosophical Writings of Gottlob Frege
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Translations from the Philosophical Writings of Gottlob Frege
1633:, Band I (1893); Band II (1903), Jena: Verlag Hermann Pohle ( 1591:, Harvard, MA: Harvard University Press, 1967, pp. 5–82. 2613:, Cambridge: Cambridge University Press, pp. xiii–xiv, 3091:
Frege, Dedekind, and Peano on the foundations of arithmetic
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Il Programma Logicista di Frege e il Tema delle Definizioni
2762:. Partial translation of volume 1: Montgomery Furth, 1964. 2499:
Heidegger's Crisis: Philosophy and Politics in Nazi Germany
2315:"Frege, Gottlob | Internet Encyclopedia of Philosophy" 2285:(1 ed.). Cambridge University Press. pp. 37, 42. 784:
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
2890:. Open Court. — On the Frege-Husserl-Cantor triangle. 1772:
Vierteljahresschrift für wissenschaftliche Philosophie XVI
1620:: A Logico-Mathematical Enquiry into the Concept of Number 937:'s (1901–83) theory of truth, is ultimately due to Frege. 3325: 2939:. Franco Angeli. — On Frege's theory of definitions. 831:. Frege's goal was to show that mathematics grows out of 508: 2773:
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
2177:(2006). "Frege, Gottlob". In Borchert, Donald M. (ed.). 1849:
Jahresbericht der deutschen Mathematiker-Vereinigung XII
1222:(3 vols.) appeared in 1910–13, the dominant approach to 679:
on the German language for children aged 9–13, entitled
3335:
typesetting tool — by P. A. Ebert and M. Rossberg.
2888:
Husserl or Frege: Meaning, Objectivity, and Mathematics
2359:(Continuum International Publishing Group, 2011), p. 7. 2222:"Ahnenliste des Mathematikers Gottlob Frege, 1848–1925" 2052:
On Foundationalism: A Strategy for Metaphysical Realism
1988:
Balaguer, Mark (25 July 2016). Zalta, Edward N. (ed.).
1230:(1815–64) and his intellectual descendants, especially 1178:
s can be put into a one-to-one correspondence with the
3234:
Frege's Logic, Theorem, and Foundations for Arithmetic
2787:
1924. Gottfried Gabriel, Wolfgang Kienzler (editors):
2738:
Vierteljahresschrift für wissenschaftliche Philosophie
2535:"Frege, Gottlob – Internet Encyclopedia of Philosophy" 2338:
Themes in Plato, Aristotle, and Hellenistic Philosophy
960:
This idea was formulated in non-symbolic terms in his
3058:
and Frege's mathematical and intellectual background.
2731:
Zeitschrift für Philosophie und philosophische Kritik
2340:, Keeling Lectures 2011–2018, p.149-206; Zalta, Ed, 1835:
Beiträge zur Philosophie des Deutschen Idealismus III
1751:
Zeitschrift für Philosophie und philosophische Kritik
1571:(1879), Halle an der Saale: Verlag von Louis Nebert ( 1462:. The 1924 diary was published posthumously in 1994. 548:. Though he was largely ignored during his lifetime, 499: 1330:
As a philosopher of mathematics, Frege attacked the
1268:, whose work on logic and language gave rise to the 819:
marked a turning point in the history of logic. The
502: 6355:
People from the Grand Duchy of Mecklenburg-Schwerin
6220: 6139: 6132: 6068: 6017: 6008: 6001: 5925: 5801: 5671: 5563: 5499: 5459: 5450: 5331: 5322: 5315: 5184: 5033: 4885: 4722: 4469: 4367: 4329: 4303: 4277: 4249: 4193: 4165: 4102: 4081: 4020: 3978: 3955: 3932: 3834: 3778: 3740: 3684: 3637: 3591: 3495: 3445: 3419: 3383: 3376: 1828:
Beiträge zur Philosophie des Deutschen Idealismus I
1821:
Beiträge zur Philosophie des Deutschen Idealismus I
998:) is the same as the "value-range" of the function 496: 336: 316: 306: 296: 283: 254: 244: 194: 184: 170: 139: 115: 89: 67: 48: 3119:Gillies, Donald: The Fregean revolution in logic. 3096:Gillies, Donald: The Fregean revolution in logic. 2425: 1789:, S. Meyer (ed.), Leipzig, 1904, pp. 656–666. 2507:, vol. 36, no. 432, 20 December 1989, pp. 68–79. 1954:Beiträge zur Philosophie des Deutschen Idealismus 1135:have the same "extension" if and only if neither 2955:Frege on Thinking and Its Epistemic Significance 1833:1923. "Gedankengefüge" ("Compound Thought"), in 1032:, that is, the set of all Fs, and similarly for 532:, and is understood by many to be the father of 3054:. Harvard Univ. Press. — Papers exploring 2455: 2453: 1847:1903: "Über die Grundlagen der Geometrie". II. 1693:In German (revised in modern formal notation): 1660:In German (revised in modern formal notation): 1055:was about to go to press in 1903, showing that 817:], Halle a/S: Verlag von Louis Nebert, 1879 2357:The Continuum Companion to Philosophical Logic 2330:published in 2021 a work provocatively titled 2129:A Source Book in Mathematical Logic, 1879–1931 5293: 4438: 3354: 2831:. "On a Contemporary Usage of Frege", trans. 2146:, Northwestern University Press, 1980, p. 87. 1854:In English: "On the Foundations of Geometry". 1770:Original: "Ueber Begriff und Gegenstand", in 1607:(1884), Breslau: Verlag von Wilhelm Koebner ( 8: 2607:"Chronology of Major Events in Frege's Life" 2266:, Cambridge University Press, 2019, p. xiii. 2161:Random House Webster's Unabridged Dictionary 1458:to leave for England in order to study with 1036:. Then Basic Law V says that the predicates 3081:The Search for Mathematical Roots 1870–1940 2432:. New York, Harper & Row. p. xii. 2088:Truth – Internet Encyclopedia of Philosophy 857:, in large part thanks to his invention of 433:set-theoretic definition of natural numbers 6136: 6014: 6005: 5798: 5456: 5328: 5319: 5300: 5286: 5278: 5162:Wittgenstein on Rules and Private Language 4445: 4431: 4423: 3952: 3737: 3634: 3380: 3361: 3347: 3339: 2696:. Halle a. S.: Louis Nebert. Translation: 1826:1918–19. "Die Verneinung" ("Negation") in 788:'s infinitely distant (imaginary) points. 56: 45: 2886:------, and Rosado Haddock, G. E., 2000. 2736:1892b. "Ueber Begriff und Gegenstand" in 2595:, Open Court Publishing, 2004, pp. 18–26. 2509:http://forvm.contextxxi.org/-no-432-.html 2107:I, Jena: Verlag Hermann Pohle, 1893, §36. 2054:, Rowman & Littlefield, 2004, p. 111. 6415:Academic staff of the University of Jena 3175:, Chicago: University of Chicago Press, 3149:Frege's Conception of Numbers as Objects 2874:The Interpretation of Frege's Philosophy 2855:Frege: An Introduction to His Philosophy 2846:Baker, Gordon, and P.M.S. Hacker, 1984. 2414:(Oxford University Press, 1997), p. 241. 2023: 2021: 1748:Original: "Über Sinn und Bedeutung", in 1272:in philosophy. His contributions to the 1249: 1162:Basic Law V can simply be replaced with 1119:is "small" if the objects falling under 1079:entails that the set thus characterised 861:, which eventually became ubiquitous in 3295:MacTutor History of Mathematics Archive 3141:. Oxford: Oxford University Press, 2013 3132:. Oxford: Oxford University Press, 2011 3004:. Oxford: Oxford University Press, 2012 2131:. Harvard University Press, pp. 355–66. 2083: 2081: 1980: 1915: 1785:Original: "Was ist eine Funktion?", in 350: 3106:, 2010, "Frege on Number Properties," 2032:II. Frege as Idealist and then Realist 945:is a branch of logic, a view known as 743:Hermann Karl Julius Traugott Schaeffer 6420:Mathematicians from the German Empire 2466:. Yale University Press. p. 60. 2345:, Stanford Encyclopedia of Philosophy 2258: 2256: 1729:Original: "Funktion und Begriff", an 1431:", but then sympathized with General 523: 7: 3279:Frege on Being, Existence and Truth. 2926:Rosado Haddock, Guillermo E., 2006. 2793:Deutsche Zeitschrift für Philosophie 2729:1892a. "Über Sinn und Bedeutung" in 2715:. Breslau: W. Koebner. Translation: 2573:Deutsche Zeitschrift für Philosophie 1958:Deutsche Philosophische Gesellschaft 1899:List of pioneers in computer science 1815:, ed. Peter Geach, Blackwell, 1975. 990:: the "value-range" of the function 869:. Previous logic had dealt with the 619:and "The Thought", Frege argues for 3246:Internet Encyclopedia of Philosophy 3216:Stanford Encyclopedia of Philosophy 2883:. Athens OH: Ohio University Press. 2813:, 3rd ed. Blackwell (1st ed. 1952). 2789:Gottlob Freges politisches Tagebuch 2745:Grundgesetze der Arithmetik, Band I 2683:Stanford Encyclopedia of Philosophy 2371:Stanford Encyclopedia of Philosophy 2211:, Felix Meiner Verlag, 2013, p. 11. 1736:In English: "Function and Concept". 1383:, namely, the person best known as 79:Grand Duchy of Mecklenburg-Schwerin 6310:20th-century German mathematicians 6290:19th-century German mathematicians 2986:Frege, Boolos, and Logical Objects 2799:, vol. 39, 1996, pp. 303–342. 2209:Gottlob Frege: Leben – Werk – Zeit 1922:Only the proofs of Part II of the 1792:In English: "What is a Function?". 1127:. Now weaken V to V*: a "concept" 556:(1872–1970), and, to some extent, 105:Free State of Mecklenburg-Schwerin 25: 3051:Frege's Philosophy of Mathematics 3021:. MIT Press. — 12 papers on 2990:Journal of Philosophical Logic 33 2780:1918–1923. Peter Geach (editor): 2561:from the original on 21 May 2013. 1777:In English: "Concept and Object". 1107:might be salvaged in other ways: 6365:German philosophers of education 6315:20th-century German philosophers 6305:20th-century German male writers 6295:19th-century German philosophers 6285:19th-century German male writers 4406: 4397: 4396: 3331:, website, incl. corrigenda and 3048:Demopoulos, William, ed., 1995. 3042:Frege: Philosophy of Mathematics 2611:Frege: A Philosophical Biography 2282:Frege: A Philosophical Biography 2264:Frege: A Philosophical Biography 2236:Frege: A Philosophical Biography 2233:Jacquette, Dale (4 April 2019). 1878: 1626:, Oxford: Basil Blackwell, 1950. 1379:"United Kingdom", have the same 1264:Frege is one of the founders of 1166:, which says that the number of 865:and logic, and which solved the 492: 6370:German philosophers of language 6340:German male non-fiction writers 5909:Pseudo-Dionysius the Areopagite 3196:Works by or about Gottlob Frege 3071:Journal of Philosophic Logic 31 2843:, no. 1, 2000, pp. 99–115. 2460:Yvonne Sherratt (21 May 2013). 2424:Dummett, Michael A. E. (1973). 1596:The Philosophy of Gottlob Frege 1562:Logic, foundation of arithmetic 1194:, can be weakened to so-called 1170:s is the same as the number of 770:Ernst Christian Julius Schering 766:Rudolf Friedrich Alfred Clebsch 718:Studies at University (1869–74) 468:technique for binding arguments 335: 301:Rudolf Friedrich Alfred Clebsch 290:Ernst Christian Julius Schering 6410:University of Göttingen alumni 6390:German philosophers of science 5102:Tractatus Logico-Philosophicus 3609:Analytic–synthetic distinction 3029:approach to the foundation of 2747:. Jena: Verlag Hermann Pohle. 2388:. Princeton University Press. 2333:"Frege plagiarized the Stoics" 2239:. Cambridge University Press. 867:problem of multiple generality 768:(1833–72; analytic geometry), 567:His contributions include the 488:Friedrich Ludwig Gottlob Frege 377:Frege's propositional calculus 1: 6042:Giovanni Pico della Mirandola 4983:Principle of compositionality 2866:Frege: Philosophy of Language 2605:Jacquette, Dale, ed. (2019), 2579:, vol. 39, 1996, pp. 303–342. 2428:Frege; philosophy of language 2143:The Foundations of Arithmetic 1781:"What is a Function?" (1904) 1618:The Foundations of Arithmetic 1536:Ordentlicher Honorarprofessor 1437:Houston Stewart Chamberlain's 1283:and argument analysis of the 1255: 1213:The Principles of Mathematics 968:Die Grundlagen der Arithmetik 963:The Foundations of Arithmetic 422:descriptivist theory of names 358:principle of compositionality 154:The Foundations of Arithmetic 5132:Philosophical Investigations 3254: — by Kevin C. Klement. 3138:Reading Frege's Grundgesetze 2764:The Basic Laws of Arithmetic 2700:, by S. Bauer-Mengelberg in 2654:. Leipzig, J.A. Barth. 1904. 2411:What Is Mathematics, Really? 2183:. Vol. 3 (2 ed.). 1666:University of Duisburg-Essen 1529:Ausserordentlicher Professor 1424:German Revolution of 1918–19 1367:(or "Bedeutung") applied to 1190:Frege's logic, now known as 772:(1824–97; function theory), 599:. His philosophical papers " 297:Other academic advisors 6385:German philosophers of mind 6380:Philosophers of mathematics 6300:19th-century German writers 4973:Modality (natural language) 3267: — by Dorothea Lotter. 3045:. Harvard University Press. 3001:Frege's Conception of Logic 2970:, Cornell University Press. 2876:. Harvard University Press. 2869:. Harvard University Press. 2708:. Harvard University Press. 2591:, ed. by Erich H. Reck and 2105:Grundgesetze der Arithmetik 1662:Grundgesetze der Arithmetik 1643:Grundgesetze der Arithmetik 1631:Grundgesetze der Arithmetik 1505:1873 — PhD, doctor in 976:Grundgesetze der Arithmetik 921:, 1861–1947), to Russell's 587:is the seminal text of the 569:development of modern logic 6436: 5112:Language, Truth, and Logic 4852:Theological noncognitivism 4737:Contrast theory of meaning 4732:Causal theory of reference 4463:Index of language articles 3508:Causal theory of reference 3272:Metaphysics Research Lab: 3205:Frege at Genealogy Project 3121:Revolutions in mathematics 3098:Revolutions in mathematics 2879:Hill, Claire Ortiz, 1991. 2848:Frege: Logical Excavations 2809:, eds., and trans., 1980. 2770:. Oxford University Press. 2180:Encyclopedia of Philosophy 2075:, Routledge, 2017, p. 34). 1342: 850:In effect, Frege invented 799: 724:North German Confederation 652:Frege was born in 1848 in 579:foundations of mathematics 427:redundancy theory of truth 239:Redundancy theory of truth 36: 29: 6405:University of Jena alumni 6320:20th-century male writers 5517:Metrodorus of Stratonicea 5252: 5197:Philosophy of information 4797:Mediated reference theory 4460: 4392: 2921:Philosophy of Mathematics 2903:Klemke, E.D., ed., 1968. 2619:10.1017/9781139033725.001 2589:Frege's Lectures on Logic 2291:10.1017/9781139033725.005 1664:, Korpora (portal of the 1645:," translated and edited 1513:), attained at Göttingen. 1324:mediated reference theory 595:as where to pinpoint the 591:project, and is cited by 584:Foundations of Arithmetic 525:[ˈɡɔtloːpˈfreːɡə] 481: 416:mediated reference theory 323:Philosophy of mathematics 166: 55: 5713:Eustathius of Cappadocia 5122:Two Dogmas of Empiricism 3568:Scientific structuralism 3328:Basic Laws of Arithmetic 3300:University of St Andrews 3135:Heck, Richard Kimberly: 3126:Heck, Richard Kimberly: 2768:Basic Laws of Arithmetic 2038:22 (1–4):350–357 (1979). 2015:20 (1–4):227–242 (1977). 1991:Platonism in Metaphysics 1702:Basic Laws of Arithmetic 1498:1871 — attends the 1491:1869 — attends the 1480:Born 8 November 1848 in 1314:Distinction between the 1044:have the same extension 972:Basic Laws of Arithmetic 696:Große Stadtschule Wismar 160:Basic Laws of Arithmetic 37:Not to be confused with 5778:Gaius Marius Victorinus 5373:Demetrius of Amphipolis 4923:Use–mention distinction 4767:Direct reference theory 3263:31 January 2009 at the 3019:Logic, Logic, and Logic 2853:Currie, Gregory, 1982. 2185:Macmillan Reference USA 2117:Willard Van Orman Quine 2069:Über Sinn und Bedeutung 2009:Frege's alleged realism 1809:Logische Untersuchungen 1801:Logische Untersuchungen 1675:21 October 2016 at the 1500:University of Göttingen 1440:Deutschlands Erneuerung 1157:second-order arithmetic 1155:). V* is consistent if 970:, 1884). Later, in his 931:incompleteness theorems 749:); and the philosopher 536:, concentrating on the 221:Transcendental idealism 179:20th-century philosophy 175:19th-century philosophy 120:University of Göttingen 6330:German epistemologists 5397:Lastheneia of Mantinea 5392:Hestiaeus of Perinthus 4857:Theory of descriptions 4792:Linguistic determinism 4454:Philosophy of language 3624:Reflective equilibrium 3155:conception of numbers. 3077:Grattan-Guinness, Ivor 2952:Nicla Vassallo, 2014, 2782:Logical Investigations 2384:Burgess, John (2005). 2071:" (see Samuel Lebens, 1943:(375): 331–344 (1985). 1813:Logical Investigations 1805:Logical Investigations 1797:Logical Investigations 1742:On Sense and Reference 1686:29 August 2017 at the 1550:Mecklenburg-Vorpommern 1351:On Sense and Reference 1296:Begriff und Gegenstand 1274:philosophy of language 1261: 923:theory of descriptions 919:Alfred North Whitehead 913:(3 vols., 1910–13, by 847: 662:Mecklenburg-Vorpommern 601:On Sense and Reference 538:philosophy of language 331:philosophy of language 6375:Philosophers of logic 6325:Analytic philosophers 6203:Nicholas Wolterstorff 5978:Theodoric of Freiberg 5648:Clement of Alexandria 5578:Eudorus of Alexandria 5532:Aeschines of Neapolis 4968:Mental representation 4903:Linguistic relativity 4787:Inquisitive semantics 4295:Nicholas Wolterstorff 3750:David Malet Armstrong 3007:Burgess, John, 2005. 2980:Anderson, D. J., and 2975:Logic and mathematics 2935:Sisti, Nicola, 2005. 2932:. Ashgate Publishing. 2463:Hitler's Philosophers 2374:at plato.stanford.edu 1717:Philosophical studies 1544:Died 26 July 1925 in 1349:Frege's 1892 paper, " 1253: 1219:Principia Mathematica 1174:s if and only if the 1097:universe of discourse 1075:". The system of the 910:Principia Mathematica 841: 453:Frege–Church ontology 368:quantification theory 5988:Berthold of Moosburg 5933:John Scotus Eriugena 5904:David the Invincible 5613:Alexander Peloplaton 5152:Naming and Necessity 5062:De Arte Combinatoria 4861:Definite description 4822:Semantic externalism 3286:Robertson, Edmund F. 3167:Everdell, William R. 3104:Irvine, Andrew David 2996:Blanchette, Patricia 2967:Frege in Perspective 2758:17 June 2022 at the 2723:, 2nd ed. Blackwell. 2336:: Bobzien S., – In: 1842:Articles on geometry 1723:Function and Concept 1541:1918 — retires. 1486:Mecklenburg-Schwerin 1408:Naming and Necessity 1406:'s famous lectures " 1290:Distinction between 859:quantified variables 774:Wilhelm Eduard Weber 658:Mecklenburg-Schwerin 418:(Frege–Russell view) 292:(PhD thesis advisor) 226:Metaphysical realism 83:German Confederation 6109:Ralph Waldo Emerson 5583:Philo of Alexandria 5422:Menedemus of Pyrrha 5417:Heraclides Ponticus 5402:Timolaus of Cyzicus 5378:Euaeon of Lampsacus 5202:Philosophical logic 5192:Analytic philosophy 4998:Sense and reference 4877:Verification theory 4832:Situation semantics 4117:Patricia Churchland 4048:Christine Korsgaard 3934:Logical positivists 3826:Ludwig Wittgenstein 3603:paradox of analysis 3370:Analytic philosophy 3284:O'Connor, John J.; 2702:Jean Van Heijenoort 2125:Jean van Heijenoort 1456:Ludwig Wittgenstein 1345:Sense and reference 1339:Sense and reference 1316:sense and reference 1266:analytic philosophy 1240:Ludwig Wittgenstein 1090:Jean van Heijenoort 1071:is not a member of 1067:that are such that 786:projective geometry 759:critical philosophy 747:electronic machines 666:Philipp Melanchthon 648:Childhood (1848–69) 558:Ludwig Wittgenstein 534:analytic philosophy 473:round square copula 458:Frege–Geach problem 391:sense and reference 209:Logical objectivism 201:Analytic philosophy 6360:People from Wismar 6104:Emanuel Swedenborg 6037:Cristoforo Landino 6019:Florentine Academy 5809:Plutarch of Athens 5758:Eusebius of Myndus 5753:Maximus of Ephesus 5738:Theodorus of Asine 5633:Numenius of Apamea 5412:Axiothea of Phlius 5368:Erastus of Scepsis 5052:Port-Royal Grammar 4948:Family resemblance 4867:Theory of language 4842:Supposition theory 4290:William Lane Craig 4008:Friedrich Waismann 3965:Carl Gustav Hempel 3924:Timothy Williamson 3884:Alasdair MacIntyre 3742:Australian realism 3722:Russ Shafer-Landau 3583:Analytical Thomism 3538:Logical positivism 3258:Frege and Language 3160:Historical context 3087:Gillies, Donald A. 2857:. Harvester Press. 2784:, Blackwell, 1975. 2119:, introduction to 1764:Concept and Object 1493:University of Jena 1448:universal suffrage 1320:Sinn und Bedeutung 1292:concept and object 1262: 1226:was still that of 1224:mathematical logic 1192:second-order logic 1006:) if and only if ∀ 848: 796:Work as a logician 712:University of Jena 530:University of Jena 401:concept and object 381:ancestral relation 373:predicate calculus 327:mathematical logic 249:University of Jena 189:Western philosophy 129:University of Jena 6257: 6256: 6253: 6252: 6198:Peter van Inwagen 6168:Roderick Chisholm 6094: 6093: 6050: 6049: 5921: 5920: 5917: 5916: 5763:Priscus of Epirus 5565:Middle Platonists 5559: 5558: 5555: 5554: 5547:Dio of Alexandria 5472:Diocles of Cnidus 5275: 5274: 4777:Dynamic semantics 4420: 4419: 4388: 4387: 4104:Pittsburgh School 4094:Peter van Inwagen 4028:Roderick Chisholm 4016: 4015: 3909:Richard Swinburne 3844:G. E. M. Anscombe 3680: 3679: 3578:Analytic theology 3553:Ordinary language 3491: 3490: 3061:Ferreira, F. and 2628:978-1-139-03372-5 2521:"Frege biography" 2473:978-0-300-15193-0 2439:978-0-06-011132-8 2395:978-0-691-12231-1 2300:978-1-139-03372-5 2121:Moses Schönfinkel 2063:Frege criticized 1956:was the organ of 1886:Philosophy portal 1851:(1903), 368–375. 1710:978-0-19-928174-9 1585:J. van Heijenoort 1309:Context principle 1057:Russell's paradox 955:law of trichotomy 917:, 1872–1970, and 871:logical constants 735:analytic geometry 694:Frege studied at 485: 484: 463:law of trichotomy 363:context principle 353:Anti-psychologism 16:(Redirected from 6427: 6335:German logicians 6137: 6015: 6006: 5854:Ammonius Hermiae 5799: 5658:Origen the Pagan 5537:Philo of Larissa 5512:Hagnon of Tarsus 5457: 5442:Crates of Athens 5329: 5320: 5302: 5295: 5288: 5279: 5237:Formal semantics 5185:Related articles 5177: 5167: 5157: 5147: 5137: 5127: 5117: 5107: 5097: 5087: 5077: 5067: 5057: 5047: 4817:Relevance theory 4812:Phallogocentrism 4447: 4440: 4433: 4424: 4410: 4409: 4400: 4399: 4339:Nancy Cartwright 4180:Nicholas Rescher 4157:Bas van Fraassen 4147:Nicholas Rescher 3970:Hans Reichenbach 3953: 3919:Bernard Williams 3816:Bertrand Russell 3738: 3672:Rigid designator 3635: 3381: 3377:Related articles 3363: 3356: 3349: 3340: 3302: 3212:by Brian Carver. 3200:Internet Archive 3185: 3037:Dummett, Michael 2861:Dummett, Michael 2753:Band I+II online 2656: 2655: 2646: 2640: 2639: 2602: 2596: 2586: 2580: 2569: 2563: 2562: 2560: 2553: 2545: 2539: 2538: 2531: 2525: 2524: 2517: 2511: 2492: 2486: 2485: 2457: 2448: 2447: 2444:Internet Archive 2431: 2421: 2415: 2406: 2400: 2399: 2381: 2375: 2366: 2360: 2353: 2347: 2325: 2319: 2318: 2311: 2305: 2304: 2273: 2267: 2262:Jacquette, Dale 2260: 2251: 2250: 2230: 2224: 2218: 2212: 2207:Lothar Kreiser, 2205: 2199: 2198: 2175:Wehmeier, Kai F. 2171: 2165: 2153: 2147: 2138: 2132: 2114: 2108: 2101: 2095: 2085: 2076: 2061: 2055: 2045: 2039: 2025: 2016: 2002: 1996: 1995: 1985: 1968: 1966: 1950: 1944: 1920: 1888: 1883: 1882: 1881: 1861:Kleine Schriften 1774:(1892): 192–205. 1622:, translated by 1460:Bertrand Russell 1385:King Charles III 1303:compositionality 1260: 1257: 1164:Hume's principle 1131:and a "concept" 989: 915:Bertrand Russell 901:Euclid's theorem 818: 704: 577:and work in the 554:Bertrand Russell 527: 522: 518: 517: 514: 513: 510: 507: 504: 501: 498: 438:Hume's principle 347: 307:Notable students 285:Doctoral advisor 235:Indirect realism 213:Modern Platonism 142: 96: 62:Frege in c. 1879 60: 46: 21: 6435: 6434: 6430: 6429: 6428: 6426: 6425: 6424: 6345:Linguistic turn 6260: 6259: 6258: 6249: 6216: 6213:Edward N. Zalta 6193:Alvin Plantinga 6173:Michael Dummett 6128: 6119:Bernard Bolzano 6090: 6064: 6046: 6032:Marsilio Ficino 5997: 5983:Meister Eckhart 5913: 5894:John Philoponus 5797: 5667: 5638:Ammonius Saccas 5628:Maximus of Tyre 5551: 5495: 5446: 5387:Python of Aenus 5311: 5306: 5276: 5271: 5248: 5227:School of Names 5180: 5175: 5165: 5155: 5145: 5142:Of Grammatology 5135: 5125: 5115: 5105: 5095: 5085: 5075: 5065: 5055: 5045: 5029: 4881: 4827:Semantic holism 4807:Non-cognitivism 4747:Conventionalism 4718: 4465: 4456: 4451: 4421: 4416: 4407: 4384: 4375:Jan Łukasiewicz 4363: 4331:Stanford School 4325: 4311:Paul Feyerabend 4299: 4285:Alvin Plantinga 4273: 4259:James F. Conant 4245: 4189: 4161: 4152:Wilfrid Sellars 4142:Alexander Pruss 4122:Paul Churchland 4098: 4077: 4033:Donald Davidson 4012: 3974: 3951: 3928: 3854:Michael Dummett 3830: 3821:Frank P. Ramsey 3774: 3736: 3712:Jaakko Hintikka 3697:Keith Donnellan 3676: 3633: 3587: 3548:Neurophilosophy 3533:Logical atomism 3487: 3441: 3415: 3372: 3367: 3290:"Gottlob Frege" 3283: 3265:Wayback Machine 3192: 3183: 3165: 3145:Wright, Crispin 3129:Frege's Theorem 3114:Charles Parsons 3056:Frege's theorem 3023:Frege's theorem 2905:Essays on Frege 2820: 2760:Wayback Machine 2692:Begriffsschrift 2678:Edward N. Zalta 2670: 2665: 2660: 2659: 2648: 2647: 2643: 2629: 2604: 2603: 2599: 2587: 2583: 2570: 2566: 2558: 2551: 2547: 2546: 2542: 2533: 2532: 2528: 2519: 2518: 2514: 2493: 2489: 2474: 2459: 2458: 2451: 2440: 2423: 2422: 2418: 2408:Hersh, Reuben, 2407: 2403: 2396: 2383: 2382: 2378: 2367: 2363: 2354: 2350: 2328:Susanne Bobzien 2326: 2322: 2313: 2312: 2308: 2301: 2277:Jacquette, Dale 2275: 2274: 2270: 2261: 2254: 2247: 2232: 2231: 2227: 2220:Arndt Richter, 2219: 2215: 2206: 2202: 2195: 2173: 2172: 2168: 2154: 2150: 2140:Gottlob Frege, 2139: 2135: 2115: 2111: 2103:Gottlob Frege, 2102: 2098: 2086: 2079: 2062: 2058: 2046: 2042: 2026: 2019: 2003: 1999: 1987: 1986: 1982: 1977: 1972: 1971: 1960: 1951: 1947: 1932:Begriffsschrift 1930:, "Reading the 1924:Begriffsschrift 1921: 1917: 1912: 1884: 1879: 1877: 1874: 1844: 1719: 1688:Wayback Machine 1677:Wayback Machine 1635:online version) 1564: 1559: 1557:Important works 1522:private teacher 1477: 1475:Important dates 1468: 1452:Gershom Scholem 1416: 1347: 1341: 1270:linguistic turn 1258: 1248: 1184:Frege's theorem 985: 981:Begriffsschrift 951:Begriffsschrift 855:predicate logic 844:Begriffsschrift 821:Begriffsschrift 807: 804: 802:Begriffsschrift 798: 728:Ernst Karl Abbe 720: 698: 660:(today part of 650: 645: 639:respectively. 597:linguistic turn 593:Michael Dummett 581:. His book the 574:Begriffsschrift 520: 495: 491: 477: 448:Frege's theorem 396:Frege's puzzles 349: 348: 345: 339: 319: 279: 237: 233: 231:Foundationalism 229: 224: 219: 215: 211: 207: 205:Linguistic turn 203: 177: 158: 151: 147:Begriffsschrift 140: 127: 111: 98: 94: 85: 72: 71:8 November 1848 63: 51: 42: 35: 32:Frege (surname) 28: 23: 22: 15: 12: 11: 5: 6433: 6431: 6423: 6422: 6417: 6412: 6407: 6402: 6397: 6392: 6387: 6382: 6377: 6372: 6367: 6362: 6357: 6352: 6347: 6342: 6337: 6332: 6327: 6322: 6317: 6312: 6307: 6302: 6297: 6292: 6287: 6282: 6277: 6272: 6262: 6261: 6255: 6254: 6251: 6250: 6248: 6247: 6242: 6240:Roman Ingarden 6237: 6235:Edmund Husserl 6232: 6226: 6224: 6218: 6217: 6215: 6210: 6208:Crispin Wright 6205: 6200: 6195: 6190: 6185: 6180: 6178:W. V. O. Quine 6175: 6170: 6165: 6160: 6155: 6150: 6145: 6143: 6134: 6130: 6129: 6127: 6126: 6121: 6116: 6111: 6106: 6101: 6095: 6092: 6091: 6089: 6084: 6079: 6077:Ralph Cudworth 6074: 6072: 6066: 6065: 6063: 6062: 6057: 6055:Giordano Bruno 6051: 6048: 6047: 6045: 6044: 6039: 6034: 6029: 6023: 6021: 6012: 6003: 5999: 5998: 5996: 5995: 5993:Paul of Venice 5990: 5985: 5980: 5975: 5970: 5968:Henry of Ghent 5965: 5960: 5955: 5950: 5945: 5940: 5935: 5929: 5927: 5923: 5922: 5919: 5918: 5915: 5914: 5912: 5911: 5906: 5901: 5896: 5891: 5886: 5881: 5876: 5871: 5866: 5861: 5856: 5851: 5846: 5841: 5836: 5831: 5826: 5821: 5816: 5811: 5805: 5803: 5796: 5795: 5790: 5785: 5780: 5775: 5770: 5765: 5760: 5755: 5750: 5745: 5740: 5735: 5730: 5725: 5720: 5715: 5710: 5705: 5700: 5695: 5690: 5689: 5688: 5677: 5675: 5669: 5668: 5666: 5665: 5660: 5655: 5650: 5645: 5640: 5635: 5630: 5625: 5620: 5615: 5610: 5605: 5600: 5595: 5590: 5585: 5580: 5575: 5569: 5567: 5561: 5560: 5557: 5556: 5553: 5552: 5550: 5549: 5544: 5539: 5534: 5529: 5524: 5519: 5514: 5509: 5503: 5501: 5497: 5496: 5494: 5493: 5488: 5479: 5474: 5469: 5463: 5461: 5454: 5448: 5447: 5445: 5444: 5439: 5434: 5429: 5424: 5419: 5414: 5409: 5404: 5399: 5394: 5389: 5380: 5375: 5370: 5361: 5356: 5354:Philip of Opus 5351: 5346: 5341: 5335: 5333: 5326: 5317: 5313: 5312: 5307: 5305: 5304: 5297: 5290: 5282: 5273: 5272: 5270: 5269: 5264: 5259: 5253: 5250: 5249: 5247: 5246: 5241: 5240: 5239: 5229: 5224: 5219: 5214: 5209: 5204: 5199: 5194: 5188: 5186: 5182: 5181: 5179: 5178: 5168: 5158: 5148: 5138: 5128: 5118: 5108: 5098: 5088: 5078: 5068: 5058: 5048: 5037: 5035: 5031: 5030: 5028: 5027: 5020: 5015: 5010: 5005: 5000: 4995: 4990: 4985: 4980: 4978:Presupposition 4975: 4970: 4965: 4960: 4955: 4950: 4945: 4940: 4935: 4930: 4925: 4920: 4915: 4910: 4905: 4900: 4895: 4889: 4887: 4883: 4882: 4880: 4879: 4874: 4869: 4864: 4854: 4849: 4844: 4839: 4834: 4829: 4824: 4819: 4814: 4809: 4804: 4799: 4794: 4789: 4784: 4779: 4774: 4769: 4764: 4759: 4757:Deconstruction 4754: 4749: 4744: 4739: 4734: 4728: 4726: 4720: 4719: 4717: 4716: 4711: 4706: 4701: 4696: 4691: 4686: 4681: 4676: 4671: 4666: 4661: 4656: 4651: 4646: 4641: 4636: 4631: 4626: 4621: 4616: 4611: 4606: 4601: 4596: 4591: 4586: 4581: 4576: 4571: 4566: 4561: 4556: 4551: 4546: 4541: 4536: 4531: 4526: 4521: 4516: 4511: 4506: 4501: 4496: 4491: 4486: 4481: 4475: 4473: 4467: 4466: 4461: 4458: 4457: 4452: 4450: 4449: 4442: 4435: 4427: 4418: 4417: 4415: 4414: 4404: 4393: 4390: 4389: 4386: 4385: 4383: 4382: 4377: 4371: 4369: 4365: 4364: 4362: 4361: 4359:Patrick Suppes 4356: 4351: 4346: 4341: 4335: 4333: 4327: 4326: 4324: 4323: 4318: 4313: 4307: 4305: 4301: 4300: 4298: 4297: 4292: 4287: 4281: 4279: 4275: 4274: 4272: 4271: 4266: 4261: 4255: 4253: 4247: 4246: 4244: 4243: 4241:Michael Walzer 4238: 4233: 4228: 4223: 4218: 4213: 4208: 4203: 4197: 4195: 4191: 4190: 4188: 4187: 4182: 4177: 4171: 4169: 4163: 4162: 4160: 4159: 4154: 4149: 4144: 4139: 4134: 4129: 4127:Adolf Grünbaum 4124: 4119: 4114: 4112:Robert Brandom 4108: 4106: 4100: 4099: 4097: 4096: 4091: 4085: 4083: 4079: 4078: 4076: 4075: 4070: 4068:W. V. O. Quine 4065: 4060: 4055: 4050: 4045: 4043:Nelson Goodman 4040: 4038:Daniel Dennett 4035: 4030: 4024: 4022: 4018: 4017: 4014: 4013: 4011: 4010: 4005: 4003:Moritz Schlick 4000: 3995: 3990: 3984: 3982: 3976: 3975: 3973: 3972: 3967: 3961: 3959: 3950: 3949: 3944: 3938: 3936: 3930: 3929: 3927: 3926: 3921: 3916: 3914:Charles Taylor 3911: 3906: 3904:P. F. Strawson 3901: 3896: 3891: 3886: 3881: 3876: 3871: 3866: 3861: 3856: 3851: 3846: 3840: 3838: 3832: 3831: 3829: 3828: 3823: 3818: 3813: 3808: 3803: 3801:Norman Malcolm 3798: 3793: 3788: 3782: 3780: 3776: 3775: 3773: 3772: 3770:J. J. C. Smart 3767: 3762: 3757: 3755:David Chalmers 3752: 3746: 3744: 3735: 3734: 3729: 3724: 3719: 3717:Giuseppe Peano 3714: 3709: 3707:Edmund Gettier 3704: 3699: 3694: 3688: 3686: 3682: 3681: 3678: 3677: 3675: 3674: 3669: 3664: 3662:Possible world 3659: 3654: 3649: 3643: 3641: 3632: 3631: 3626: 3621: 3616: 3614:Counterfactual 3611: 3606: 3595: 3593: 3589: 3588: 3586: 3585: 3580: 3575: 3570: 3565: 3560: 3555: 3550: 3545: 3540: 3535: 3530: 3525: 3520: 3515: 3510: 3505: 3499: 3497: 3493: 3492: 3489: 3488: 3486: 3485: 3480: 3475: 3473:Paraconsistent 3470: 3465: 3460: 3455: 3449: 3447: 3443: 3442: 3440: 3439: 3434: 3429: 3423: 3421: 3417: 3416: 3414: 3413: 3408: 3403: 3398: 3393: 3387: 3385: 3384:Areas of focus 3378: 3374: 3373: 3368: 3366: 3365: 3358: 3351: 3343: 3337: 3336: 3323: 3313: 3303: 3281: 3276: 3274:Gottlob Frege. 3270: 3269: 3268: 3255: 3243: 3242: 3241: 3230: 3213: 3207: 3202: 3191: 3190:External links 3188: 3187: 3186: 3181: 3157: 3156: 3142: 3133: 3124: 3117: 3111: 3110:96(2): 239–60. 3108:Studia Logica, 3101: 3094: 3084: 3074: 3059: 3046: 3034: 3015:Boolos, George 3012: 3005: 2993: 2972: 2971: 2959: 2950: 2940: 2933: 2924: 2901: 2894:Kenny, Anthony 2891: 2884: 2877: 2872:------, 1981. 2870: 2858: 2851: 2844: 2833:Justin Clemens 2819: 2816: 2815: 2814: 2800: 2785: 2778: 2771: 2741: 2734: 2727: 2724: 2709: 2687: 2669: 2666: 2664: 2661: 2658: 2657: 2641: 2627: 2597: 2581: 2564: 2540: 2526: 2512: 2487: 2472: 2449: 2438: 2416: 2401: 2394: 2376: 2361: 2348: 2320: 2306: 2299: 2268: 2252: 2245: 2225: 2213: 2200: 2193: 2166: 2148: 2133: 2109: 2096: 2077: 2065:direct realism 2056: 2040: 2028:Michael Resnik 2017: 1997: 1979: 1978: 1976: 1973: 1970: 1969: 1945: 1928:Boolos, George 1914: 1913: 1911: 1908: 1907: 1906: 1904:Neo-Fregeanism 1901: 1896: 1890: 1889: 1873: 1870: 1869: 1868: 1857: 1856: 1855: 1843: 1840: 1839: 1838: 1831: 1824: 1794: 1793: 1790: 1779: 1778: 1775: 1760: 1759: 1756: 1755:(1892): 25–50. 1738: 1737: 1734: 1718: 1715: 1714: 1713: 1698: 1691: 1658: 1628: 1627: 1609:online version 1600: 1599: 1592: 1573:online version 1563: 1560: 1558: 1555: 1554: 1553: 1542: 1539: 1532: 1525: 1514: 1503: 1496: 1489: 1476: 1473: 1467: 1464: 1442:which praised 1415: 1412: 1393:United Kingdom 1343:Main article: 1340: 1337: 1332:psychologistic 1328: 1327: 1312: 1306: 1299: 1288: 1247: 1244: 1232:Ernst Schröder 1208: 1207: 1188: 1160: 1046:if and only if 842:Title page to 800:Main article: 797: 794: 719: 716: 649: 646: 644: 641: 550:Giuseppe Peano 483: 482: 479: 478: 476: 475: 470: 465: 460: 455: 450: 445: 440: 435: 430: 424: 419: 413: 408: 403: 398: 393: 388: 383: 378: 375: 370: 365: 360: 355: 344: 343: 342: 340: 337: 334: 333: 320: 318:Main interests 317: 314: 313: 308: 304: 303: 298: 294: 293: 287: 281: 280: 278: 277: 269: 260: 258: 252: 251: 246: 242: 241: 198: 192: 191: 186: 182: 181: 172: 168: 167: 164: 163: 143: 137: 136: 133:Dr. phil. hab. 117: 113: 112: 99: 97:(aged 76) 91: 87: 86: 73: 69: 65: 64: 61: 53: 52: 49: 26: 24: 14: 13: 10: 9: 6: 4: 3: 2: 6432: 6421: 6418: 6416: 6413: 6411: 6408: 6406: 6403: 6401: 6400:Set theorists 6398: 6396: 6393: 6391: 6388: 6386: 6383: 6381: 6378: 6376: 6373: 6371: 6368: 6366: 6363: 6361: 6358: 6356: 6353: 6351: 6348: 6346: 6343: 6341: 6338: 6336: 6333: 6331: 6328: 6326: 6323: 6321: 6318: 6316: 6313: 6311: 6308: 6306: 6303: 6301: 6298: 6296: 6293: 6291: 6288: 6286: 6283: 6281: 6278: 6276: 6273: 6271: 6270:Gottlob Frege 6268: 6267: 6265: 6246: 6243: 6241: 6238: 6236: 6233: 6231: 6230:Henri Bergson 6228: 6227: 6225: 6223: 6219: 6214: 6211: 6209: 6206: 6204: 6201: 6199: 6196: 6194: 6191: 6189: 6186: 6184: 6181: 6179: 6176: 6174: 6171: 6169: 6166: 6164: 6163:Alonzo Church 6161: 6159: 6156: 6154: 6151: 6149: 6148:Gottlob Frege 6146: 6144: 6142: 6138: 6135: 6131: 6125: 6124:Aleksei Losev 6122: 6120: 6117: 6115: 6112: 6110: 6107: 6105: 6102: 6100: 6099:Thomas Taylor 6097: 6096: 6088: 6085: 6083: 6080: 6078: 6075: 6073: 6071: 6067: 6061: 6060:Blaise Pascal 6058: 6056: 6053: 6052: 6043: 6040: 6038: 6035: 6033: 6030: 6028: 6025: 6024: 6022: 6020: 6016: 6013: 6011: 6007: 6004: 6000: 5994: 5991: 5989: 5986: 5984: 5981: 5979: 5976: 5974: 5971: 5969: 5966: 5964: 5961: 5959: 5956: 5954: 5951: 5949: 5948:Peter Abelard 5946: 5944: 5941: 5939: 5936: 5934: 5931: 5930: 5928: 5924: 5910: 5907: 5905: 5902: 5900: 5897: 5895: 5892: 5890: 5887: 5885: 5882: 5880: 5877: 5875: 5872: 5870: 5867: 5865: 5862: 5860: 5859:Asclepiodotus 5857: 5855: 5852: 5850: 5847: 5845: 5842: 5840: 5837: 5835: 5832: 5830: 5827: 5825: 5822: 5820: 5817: 5815: 5812: 5810: 5807: 5806: 5804: 5800: 5794: 5791: 5789: 5786: 5784: 5781: 5779: 5776: 5774: 5771: 5769: 5766: 5764: 5761: 5759: 5756: 5754: 5751: 5749: 5746: 5744: 5741: 5739: 5736: 5734: 5731: 5729: 5726: 5724: 5721: 5719: 5716: 5714: 5711: 5709: 5706: 5704: 5701: 5699: 5696: 5694: 5691: 5687: 5684: 5683: 5682: 5679: 5678: 5676: 5674: 5673:Neoplatonists 5670: 5664: 5661: 5659: 5656: 5654: 5651: 5649: 5646: 5644: 5641: 5639: 5636: 5634: 5631: 5629: 5626: 5624: 5621: 5619: 5616: 5614: 5611: 5609: 5606: 5604: 5601: 5599: 5596: 5594: 5593:Justin Martyr 5591: 5589: 5586: 5584: 5581: 5579: 5576: 5574: 5571: 5570: 5568: 5566: 5562: 5548: 5545: 5543: 5540: 5538: 5535: 5533: 5530: 5528: 5525: 5523: 5520: 5518: 5515: 5513: 5510: 5508: 5505: 5504: 5502: 5498: 5492: 5489: 5487: 5483: 5480: 5478: 5475: 5473: 5470: 5468: 5465: 5464: 5462: 5458: 5455: 5453: 5449: 5443: 5440: 5438: 5435: 5433: 5430: 5428: 5425: 5423: 5420: 5418: 5415: 5413: 5410: 5408: 5405: 5403: 5400: 5398: 5395: 5393: 5390: 5388: 5384: 5381: 5379: 5376: 5374: 5371: 5369: 5365: 5362: 5360: 5357: 5355: 5352: 5350: 5347: 5345: 5342: 5340: 5337: 5336: 5334: 5330: 5327: 5325: 5321: 5318: 5314: 5310: 5303: 5298: 5296: 5291: 5289: 5284: 5283: 5280: 5268: 5265: 5263: 5260: 5258: 5255: 5254: 5251: 5245: 5242: 5238: 5235: 5234: 5233: 5230: 5228: 5225: 5223: 5222:Scholasticism 5220: 5218: 5215: 5213: 5210: 5208: 5205: 5203: 5200: 5198: 5195: 5193: 5190: 5189: 5187: 5183: 5174: 5173: 5169: 5164: 5163: 5159: 5154: 5153: 5149: 5144: 5143: 5139: 5134: 5133: 5129: 5124: 5123: 5119: 5114: 5113: 5109: 5104: 5103: 5099: 5093: 5089: 5084: 5083: 5079: 5074: 5073: 5069: 5064: 5063: 5059: 5054: 5053: 5049: 5044: 5043: 5039: 5038: 5036: 5032: 5026: 5025: 5021: 5019: 5016: 5014: 5011: 5009: 5006: 5004: 5001: 4999: 4996: 4994: 4991: 4989: 4986: 4984: 4981: 4979: 4976: 4974: 4971: 4969: 4966: 4964: 4961: 4959: 4956: 4954: 4951: 4949: 4946: 4944: 4941: 4939: 4936: 4934: 4931: 4929: 4926: 4924: 4921: 4919: 4916: 4914: 4911: 4909: 4906: 4904: 4901: 4899: 4896: 4894: 4891: 4890: 4888: 4884: 4878: 4875: 4873: 4870: 4868: 4865: 4862: 4858: 4855: 4853: 4850: 4848: 4845: 4843: 4840: 4838: 4837:Structuralism 4835: 4833: 4830: 4828: 4825: 4823: 4820: 4818: 4815: 4813: 4810: 4808: 4805: 4803: 4800: 4798: 4795: 4793: 4790: 4788: 4785: 4783: 4780: 4778: 4775: 4773: 4770: 4768: 4765: 4763: 4762:Descriptivism 4760: 4758: 4755: 4753: 4750: 4748: 4745: 4743: 4742:Contrastivism 4740: 4738: 4735: 4733: 4730: 4729: 4727: 4725: 4721: 4715: 4712: 4710: 4707: 4705: 4702: 4700: 4697: 4695: 4692: 4690: 4687: 4685: 4682: 4680: 4677: 4675: 4672: 4670: 4667: 4665: 4662: 4660: 4657: 4655: 4652: 4650: 4647: 4645: 4642: 4640: 4637: 4635: 4632: 4630: 4627: 4625: 4622: 4620: 4617: 4615: 4612: 4610: 4607: 4605: 4602: 4600: 4597: 4595: 4592: 4590: 4587: 4585: 4582: 4580: 4577: 4575: 4572: 4570: 4567: 4565: 4562: 4560: 4557: 4555: 4552: 4550: 4547: 4545: 4542: 4540: 4537: 4535: 4532: 4530: 4527: 4525: 4522: 4520: 4517: 4515: 4512: 4510: 4507: 4505: 4502: 4500: 4497: 4495: 4492: 4490: 4487: 4485: 4482: 4480: 4477: 4476: 4474: 4472: 4468: 4464: 4459: 4455: 4448: 4443: 4441: 4436: 4434: 4429: 4428: 4425: 4413: 4405: 4403: 4395: 4394: 4391: 4381: 4380:Alfred Tarski 4378: 4376: 4373: 4372: 4370: 4366: 4360: 4357: 4355: 4352: 4350: 4349:Peter Galison 4347: 4345: 4342: 4340: 4337: 4336: 4334: 4332: 4328: 4322: 4319: 4317: 4314: 4312: 4309: 4308: 4306: 4302: 4296: 4293: 4291: 4288: 4286: 4283: 4282: 4280: 4276: 4270: 4267: 4265: 4262: 4260: 4257: 4256: 4254: 4252: 4248: 4242: 4239: 4237: 4236:Nathan Salmon 4234: 4232: 4231:Richard Rorty 4229: 4227: 4224: 4222: 4219: 4217: 4214: 4212: 4209: 4207: 4204: 4202: 4201:Alonzo Church 4199: 4198: 4196: 4192: 4186: 4183: 4181: 4178: 4176: 4173: 4172: 4170: 4168: 4164: 4158: 4155: 4153: 4150: 4148: 4145: 4143: 4140: 4138: 4137:Ruth Millikan 4135: 4133: 4132:John McDowell 4130: 4128: 4125: 4123: 4120: 4118: 4115: 4113: 4110: 4109: 4107: 4105: 4101: 4095: 4092: 4090: 4087: 4086: 4084: 4080: 4074: 4071: 4069: 4066: 4064: 4063:Hilary Putnam 4061: 4059: 4058:Robert Nozick 4056: 4054: 4051: 4049: 4046: 4044: 4041: 4039: 4036: 4034: 4031: 4029: 4026: 4025: 4023: 4019: 4009: 4006: 4004: 4001: 3999: 3996: 3994: 3991: 3989: 3988:Rudolf Carnap 3986: 3985: 3983: 3981: 3980:Vienna Circle 3977: 3971: 3968: 3966: 3963: 3962: 3960: 3958: 3957:Berlin Circle 3954: 3948: 3945: 3943: 3940: 3939: 3937: 3935: 3931: 3925: 3922: 3920: 3917: 3915: 3912: 3910: 3907: 3905: 3902: 3900: 3897: 3895: 3892: 3890: 3887: 3885: 3882: 3880: 3877: 3875: 3872: 3870: 3867: 3865: 3864:Philippa Foot 3862: 3860: 3857: 3855: 3852: 3850: 3847: 3845: 3842: 3841: 3839: 3837: 3833: 3827: 3824: 3822: 3819: 3817: 3814: 3812: 3811:Graham Priest 3809: 3807: 3804: 3802: 3799: 3797: 3794: 3792: 3791:Charlie Broad 3789: 3787: 3784: 3783: 3781: 3777: 3771: 3768: 3766: 3763: 3761: 3758: 3756: 3753: 3751: 3748: 3747: 3745: 3743: 3739: 3733: 3730: 3728: 3725: 3723: 3720: 3718: 3715: 3713: 3710: 3708: 3705: 3703: 3702:Gottlob Frege 3700: 3698: 3695: 3693: 3690: 3689: 3687: 3683: 3673: 3670: 3668: 3665: 3663: 3660: 3658: 3655: 3653: 3650: 3648: 3645: 3644: 3642: 3640: 3636: 3630: 3629:Supervenience 3627: 3625: 3622: 3620: 3617: 3615: 3612: 3610: 3607: 3604: 3600: 3597: 3596: 3594: 3590: 3584: 3581: 3579: 3576: 3574: 3571: 3569: 3566: 3564: 3561: 3559: 3556: 3554: 3551: 3549: 3546: 3544: 3541: 3539: 3536: 3534: 3531: 3529: 3528:Functionalism 3526: 3524: 3521: 3519: 3516: 3514: 3513:Descriptivism 3511: 3509: 3506: 3504: 3501: 3500: 3498: 3494: 3484: 3481: 3479: 3478:Philosophical 3476: 3474: 3471: 3469: 3468:Non-classical 3466: 3464: 3461: 3459: 3456: 3454: 3451: 3450: 3448: 3444: 3438: 3435: 3433: 3430: 3428: 3425: 3424: 3422: 3418: 3412: 3409: 3407: 3404: 3402: 3399: 3397: 3394: 3392: 3389: 3388: 3386: 3382: 3379: 3375: 3371: 3364: 3359: 3357: 3352: 3350: 3345: 3344: 3341: 3334: 3330: 3329: 3324: 3321: 3317: 3314: 3311: 3307: 3304: 3301: 3297: 3296: 3291: 3287: 3282: 3280: 3277: 3275: 3271: 3266: 3262: 3259: 3256: 3253: 3252:Gottlob Frege 3250: 3249: 3247: 3244: 3239: 3235: 3231: 3228: 3224: 3223:Gottlob Frege 3220: 3219: 3217: 3214: 3211: 3208: 3206: 3203: 3201: 3197: 3194: 3193: 3189: 3184: 3182:9780226224848 3178: 3174: 3173: 3168: 3164: 3163: 3162: 3161: 3154: 3150: 3146: 3143: 3140: 3139: 3134: 3131: 3130: 3125: 3122: 3118: 3115: 3112: 3109: 3105: 3102: 3099: 3095: 3092: 3088: 3085: 3082: 3078: 3075: 3072: 3068: 3064: 3060: 3057: 3053: 3052: 3047: 3044: 3043: 3038: 3035: 3032: 3028: 3024: 3020: 3016: 3013: 3010: 3006: 3003: 3002: 2997: 2994: 2991: 2987: 2983: 2979: 2978: 2977: 2976: 2969: 2968: 2963: 2960: 2957: 2956: 2951: 2948: 2947:Gottlob Frege 2944: 2941: 2938: 2934: 2931: 2930: 2925: 2922: 2918: 2914: 2910: 2906: 2902: 2899: 2895: 2892: 2889: 2885: 2882: 2878: 2875: 2871: 2868: 2867: 2862: 2859: 2856: 2852: 2849: 2845: 2842: 2838: 2837:Sam Gillespie 2834: 2830: 2829:Badiou, Alain 2827: 2826: 2825: 2824: 2817: 2812: 2808: 2804: 2801: 2798: 2794: 2790: 2786: 2783: 2779: 2776: 2772: 2769: 2765: 2761: 2757: 2754: 2750: 2746: 2742: 2739: 2735: 2732: 2728: 2725: 2722: 2718: 2714: 2710: 2707: 2704:, ed., 1967. 2703: 2699: 2695: 2693: 2688: 2685: 2684: 2679: 2676:(compiled by 2675: 2672: 2671: 2667: 2662: 2653: 2652: 2645: 2642: 2638: 2634: 2630: 2624: 2620: 2616: 2612: 2608: 2601: 2598: 2594: 2590: 2585: 2582: 2578: 2574: 2568: 2565: 2557: 2550: 2544: 2541: 2536: 2530: 2527: 2522: 2516: 2513: 2510: 2506: 2505: 2500: 2496: 2491: 2488: 2483: 2479: 2475: 2469: 2465: 2464: 2456: 2454: 2450: 2445: 2441: 2435: 2430: 2429: 2420: 2417: 2413: 2412: 2405: 2402: 2397: 2391: 2387: 2380: 2377: 2373: 2372: 2365: 2362: 2358: 2352: 2349: 2346: 2344: 2339: 2335: 2334: 2329: 2324: 2321: 2316: 2310: 2307: 2302: 2296: 2292: 2288: 2284: 2283: 2278: 2272: 2269: 2265: 2259: 2257: 2253: 2248: 2246:9780521863278 2242: 2238: 2237: 2229: 2226: 2223: 2217: 2214: 2210: 2204: 2201: 2196: 2194:0-02-866072-2 2190: 2186: 2182: 2181: 2176: 2170: 2167: 2163: 2162: 2157: 2152: 2149: 2145: 2144: 2137: 2134: 2130: 2126: 2122: 2118: 2113: 2110: 2106: 2100: 2097: 2093: 2089: 2084: 2082: 2078: 2074: 2070: 2066: 2060: 2057: 2053: 2049: 2044: 2041: 2037: 2033: 2029: 2024: 2022: 2018: 2014: 2010: 2006: 2001: 1998: 1993: 1992: 1984: 1981: 1974: 1964: 1959: 1955: 1949: 1946: 1942: 1939: 1938: 1933: 1929: 1925: 1919: 1916: 1909: 1905: 1902: 1900: 1897: 1895: 1892: 1891: 1887: 1876: 1871: 1866: 1862: 1858: 1853: 1852: 1850: 1846: 1845: 1841: 1836: 1832: 1829: 1825: 1822: 1818: 1817: 1816: 1814: 1810: 1806: 1802: 1798: 1791: 1788: 1784: 1783: 1782: 1776: 1773: 1769: 1768: 1767: 1765: 1757: 1754: 1752: 1747: 1746: 1745: 1743: 1735: 1732: 1728: 1727: 1726: 1724: 1716: 1711: 1707: 1703: 1699: 1696: 1692: 1689: 1685: 1682: 1678: 1674: 1671: 1667: 1663: 1659: 1656: 1652: 1648: 1644: 1640: 1639: 1638: 1636: 1632: 1625: 1621: 1619: 1614: 1613: 1612: 1610: 1606: 1605: 1597: 1593: 1590: 1586: 1582: 1578: 1577: 1576: 1574: 1570: 1569: 1561: 1556: 1551: 1548:(now part of 1547: 1543: 1540: 1537: 1533: 1530: 1526: 1523: 1519: 1515: 1512: 1508: 1504: 1501: 1497: 1494: 1490: 1487: 1483: 1479: 1478: 1474: 1472: 1465: 1463: 1461: 1457: 1453: 1449: 1445: 1441: 1438: 1434: 1430: 1425: 1421: 1413: 1411: 1409: 1405: 1401: 1396: 1394: 1391:of the word " 1390: 1386: 1382: 1376: 1374: 1370: 1366: 1362: 1360: 1357:("Sinn") and 1356: 1352: 1346: 1338: 1336: 1333: 1325: 1321: 1317: 1313: 1310: 1307: 1304: 1301:Principle of 1300: 1297: 1293: 1289: 1286: 1282: 1279: 1278: 1277: 1275: 1271: 1267: 1252: 1245: 1243: 1242:(1889–1951). 1241: 1237: 1236:Rudolf Carnap 1233: 1229: 1225: 1221: 1220: 1215: 1214: 1205: 1201: 1197: 1193: 1189: 1185: 1181: 1177: 1173: 1169: 1165: 1161: 1158: 1154: 1150: 1146: 1143:is small or ∀ 1142: 1138: 1134: 1130: 1126: 1122: 1118: 1114: 1113:George Boolos 1110: 1109: 1108: 1106: 1102: 1098: 1093: 1091: 1086: 1082: 1078: 1074: 1070: 1066: 1062: 1058: 1054: 1049: 1047: 1043: 1039: 1035: 1031: 1028: 1024: 1021:} denote the 1020: 1016: 1011: 1009: 1005: 1001: 997: 993: 988: 983: 982: 977: 973: 969: 965: 964: 958: 956: 952: 948: 944: 938: 936: 935:Alfred Tarski 932: 929:'s (1906–78) 928: 924: 920: 916: 912: 911: 906: 905:prime numbers 902: 897: 895: 891: 887: 883: 882:if... then... 879: 875: 872: 868: 864: 860: 856: 853: 845: 840: 836: 834: 830: 826: 822: 816: 812: 811: 803: 795: 793: 789: 787: 781: 779: 778:Hermann Lotze 775: 771: 767: 762: 760: 756: 752: 748: 744: 740: 736: 731: 729: 725: 717: 715: 713: 709: 702: 697: 692: 690: 686: 682: 678: 673: 671: 667: 663: 659: 655: 647: 642: 640: 638: 634: 631:, concerning 630: 626: 622: 618: 614: 613:descriptivism 610: 606: 602: 598: 594: 590: 586: 585: 580: 576: 575: 570: 565: 563: 559: 555: 552:(1858–1932), 551: 547: 543: 539: 535: 531: 526: 516: 489: 480: 474: 471: 469: 466: 464: 461: 459: 456: 454: 451: 449: 446: 444: 441: 439: 436: 434: 431: 428: 425: 423: 420: 417: 414: 412: 409: 407: 404: 402: 399: 397: 394: 392: 389: 387: 384: 382: 379: 376: 374: 371: 369: 366: 364: 361: 359: 356: 354: 351: 341: 338:Notable ideas 332: 328: 324: 321: 315: 312: 311:Rudolf Carnap 309: 305: 302: 299: 295: 291: 288: 286: 282: 275: 274: 270: 267: 266: 262: 261: 259: 257: 253: 250: 247: 243: 240: 236: 232: 227: 223:(before 1891) 222: 218: 214: 210: 206: 202: 199: 197: 193: 190: 187: 183: 180: 176: 173: 169: 165: 161: 156: 155: 149: 148: 144: 138: 134: 130: 125: 121: 118: 114: 110: 106: 102: 92: 88: 84: 80: 76: 70: 66: 59: 54: 50:Gottlob Frege 47: 44: 40: 39:Gottlob Frick 33: 19: 6183:David Kaplan 6147: 6133:Contemporary 6114:Josiah Royce 5899:Olympiodorus 5814:Asclepigenia 5733:Chrysanthius 5170: 5160: 5150: 5140: 5130: 5120: 5110: 5100: 5080: 5070: 5060: 5050: 5040: 5022: 4963:Metalanguage 4958:Logical form 4913:Truth-bearer 4872:Unilalianism 4782:Expressivism 4609:Wittgenstein 4573: 4554:von Humboldt 4471:Philosophers 4269:Cora Diamond 4185:Morton White 4053:Thomas Nagel 3998:Otto Neurath 3947:Ernest Nagel 3894:Gilbert Ryle 3889:Derek Parfit 3849:J. L. Austin 3796:Casimir Lewy 3765:Peter Singer 3760:J. L. Mackie 3732:Barry Stroud 3701: 3692:Noam Chomsky 3685:Philosophers 3619:Natural kind 3503:Anti-realism 3463:Mathematical 3437:Performative 3396:Epistemology 3327: 3316:grundgesetze 3293: 3238:Edward Zalta 3236:" — by 3227:Edward Zalta 3225:" — by 3171: 3159: 3158: 3152: 3148: 3136: 3127: 3107: 3090: 3080: 3070: 3067:Grundgesetze 3066: 3063:Wehmeier, K. 3049: 3040: 3018: 3009:Fixing Frege 3008: 2999: 2989: 2982:Edward Zalta 2974: 2973: 2965: 2962:Weiner, Joan 2953: 2949:. Routledge. 2946: 2936: 2927: 2904: 2897: 2887: 2880: 2873: 2864: 2854: 2847: 2840: 2822: 2821: 2810: 2796: 2792: 2788: 2781: 2774: 2767: 2763: 2748: 2744: 2737: 2730: 2720: 2717:J. L. Austin 2712: 2705: 2697: 2690: 2681: 2650: 2644: 2610: 2600: 2593:Steve Awodey 2588: 2584: 2576: 2572: 2567: 2543: 2529: 2515: 2502: 2498: 2490: 2462: 2442:– via 2427: 2419: 2409: 2404: 2386:Fixing Frege 2385: 2379: 2370: 2364: 2356: 2351: 2342: 2337: 2332: 2323: 2309: 2281: 2271: 2263: 2235: 2228: 2216: 2208: 2203: 2178: 2169: 2159: 2151: 2141: 2136: 2128: 2112: 2104: 2099: 2072: 2059: 2051: 2048:Tom Rockmore 2043: 2035: 2012: 2000: 1990: 1983: 1953: 1952:The journal 1948: 1940: 1935: 1931: 1923: 1918: 1894:Frege system 1865:posthumously 1860: 1848: 1834: 1827: 1820: 1812: 1808: 1804: 1800: 1796: 1795: 1786: 1780: 1771: 1761: 1749: 1739: 1720: 1701: 1700:In English: 1694: 1661: 1654: 1642: 1630: 1629: 1624:J. L. Austin 1616: 1615:In English: 1602: 1601: 1595: 1588: 1580: 1579:In English: 1566: 1565: 1534:1896 — 1527:1879 — 1518:Habilitation 1516:1874 — 1469: 1444:Adolf Hitler 1439: 1417: 1397: 1388: 1380: 1377: 1372: 1369:proper names 1364: 1363: 1358: 1354: 1348: 1329: 1319: 1295: 1263: 1228:George Boole 1217: 1211: 1209: 1204:constructive 1187:Arithmetic". 1179: 1175: 1171: 1167: 1152: 1148: 1144: 1140: 1136: 1132: 1128: 1124: 1120: 1116: 1105:Grundgesetze 1104: 1094: 1084: 1080: 1077:Grundgesetze 1076: 1072: 1068: 1064: 1060: 1053:Grundgesetze 1052: 1050: 1041: 1037: 1033: 1029: 1018: 1014: 1012: 1007: 1003: 999: 995: 991: 979: 975: 971: 967: 961: 959: 950: 939: 908: 898: 893: 889: 885: 881: 877: 873: 849: 843: 820: 814: 809: 805: 790: 782: 763: 753:(1824–1907; 751:Kuno Fischer 732: 721: 693: 680: 674: 651: 637:propositions 625:psychologism 616: 582: 572: 566: 487: 486: 276: (1874) 272: 268: (1873) 264: 245:Institutions 228:(after 1891) 159: 152: 145: 141:Notable work 109:German Reich 95:(1925-07-26) 93:26 July 1925 43: 6350:Ontologists 6280:1925 deaths 6275:1848 births 6245:Leo Strauss 6222:Continental 6188:Saul Kripke 6153:G. E. Moore 6087:Anne Conway 6010:Renaissance 5973:Bonaventure 5522:Clitomachus 5359:Aristonymus 5207:Linguistics 5172:Limited Inc 5092:On Denoting 4918:Proposition 4569:de Saussure 4534:Ibn Khaldun 4368:Lwow-Warsaw 4354:Ian Hacking 4321:Karl Popper 4316:Thomas Kuhn 4264:Alice Crary 4226:Saul Kripke 4221:Jaegwon Kim 4216:David Lewis 4206:Jerry Fodor 4175:Susan Haack 4089:Robert Audi 3899:John Searle 3869:Peter Geach 3859:Antony Flew 3806:G. E. Moore 3727:Ernest Sosa 3657:Possibility 3406:Mathematics 3391:Metaphysics 2943:Sluga, Hans 2803:Peter Geach 1961: [ 1647:Peter Geach 1546:Bad Kleinen 1507:mathematics 1466:Personality 1404:Saul Kripke 1400:On Denoting 1285:proposition 1259: 1905 1246:Philosopher 1196:predicative 987:Basic Law V 863:mathematics 699: [ 617:Foundations 605:The Thought 546:mathematics 443:Basic Law V 411:Third Realm 162:(1893–1903) 101:Bad Kleinen 6395:Platonists 6264:Categories 6158:Kurt Gödel 6082:Henry More 5884:Simplicius 5703:Iamblichus 5467:Arcesilaus 5427:Xenocrates 5407:Speusippus 5383:Heraclides 5309:Platonists 5267:Discussion 5262:Task Force 5212:Pragmatics 5003:Speech act 4933:Categories 4847:Symbiosism 4802:Nominalism 4714:Watzlawick 4594:Bloomfield 4514:Chrysippus 4344:John Dupré 4211:Kurt Gödel 4167:Pragmatism 4082:Notre Dame 4073:John Rawls 3942:A. J. Ayer 3879:R. M. Hare 3874:Paul Grice 3786:Arif Ahmed 3573:Sense data 3558:Pragmatism 3432:Linguistic 3153:Grundlagen 3031:arithmetic 2823:Philosophy 2495:Hans Sluga 2482:1017997313 2005:Hans Sluga 1975:References 1867:published. 1830:: 143–157. 1433:Ludendorff 1414:1924 diary 1387:. But the 1200:finitistic 1061:membership 943:arithmetic 927:Kurt Gödel 708:alma mater 6070:Cambridge 5938:Al-Farabi 5879:Damascius 5869:Zenodotus 5819:Hierocles 5788:Macrobius 5783:Augustine 5768:Antoninus 5718:Sosipatra 5663:Calcidius 5573:Antiochus 5527:Charmadas 5507:Carneades 5491:Hegesinus 5344:Aristotle 5324:Academics 5244:Semiotics 5232:Semantics 5082:Alciphron 5018:Statement 4953:Intension 4893:Ambiguity 4772:Dramatism 4752:Cratylism 4504:Eubulides 4499:Aristotle 4479:Confucius 4194:Princeton 3993:Hans Hahn 3779:Cambridge 3652:Necessity 3647:Actualism 3518:Emotivism 3483:Predicate 3453:Classical 3073:: 301–11. 2984:, 2004, " 2915:; and 3. 2913:Semantics 2818:Secondary 2807:Max Black 2637:242262152 1766:" (1892) 1744:" (1892) 1725:" (1891) 1668:), 2006: 1651:Max Black 1520:at Jena; 1365:Reference 1359:reference 1276:include: 1027:predicate 1023:extension 933:, and to 852:axiomatic 829:variables 825:functions 629:formalism 621:Platonism 562:Aristotle 116:Education 6141:Analytic 5926:Medieval 5889:Priscian 5824:Syrianus 5793:Boethius 5748:Salutius 5728:Dexippus 5723:Aedesius 5698:Porphyry 5686:Students 5681:Plotinus 5643:Longinus 5618:Apuleius 5608:Alcinous 5588:Plutarch 5482:Telecles 5452:Skeptics 5364:Coriscus 5257:Category 5217:Rhetoric 5042:Cratylus 5013:Sentence 4988:Property 4908:Language 4886:Concepts 4724:Theories 4689:Strawson 4674:Davidson 4664:Hintikka 4659:Anscombe 4604:Vygotsky 4559:Mauthner 4529:Averroes 4519:Zhuangzi 4509:Diodorus 4489:Cratylus 4402:Category 4278:Reformed 4251:Quietism 3639:Modality 3599:Analysis 3592:Concepts 3563:Quietism 3523:Feminism 3496:Theories 3401:Language 3326:Frege's 3261:Archived 3169:(1997), 3147:, 1983. 3089:, 1982. 3079:, 2000. 3039:, 1991. 3027:logicist 3025:and the 3017:, 1998. 2998:, 2012, 2964:, 1990. 2945:, 1980. 2909:Ontology 2896:, 1995. 2863:, 1973. 2756:Archived 2751:, 1903. 2719:, 1974. 2556:Archived 2127:(1967), 2067:in his " 1872:See also 1837:: 36–51. 1823:: 58–77. 1684:Archived 1673:Archived 1538:at Jena. 1531:at Jena. 1511:geometry 1429:Bismarck 1381:referent 1281:Function 947:logicism 689:language 677:textbook 623:against 589:logicist 386:logicism 217:Logicism 6027:Plethon 5963:Thierry 5958:Gilbert 5953:Bernard 5874:Agapius 5849:Isidore 5844:Marinus 5839:Proclus 5834:Aedesia 5829:Hermias 5802:Academy 5773:Hypatia 5708:Sopater 5693:Amelius 5623:Atticus 5603:Albinus 5486:Evander 5477:Lacydes 5437:Polemon 5432:Crantor 5349:Eudoxus 5316:Ancient 5024:more... 4928:Concept 4669:Dummett 4644:Gadamer 4639:Chomsky 4624:Derrida 4614:Russell 4599:Bergson 4584:Tillich 4544:Leibniz 4484:Gorgias 4304:Science 4021:Harvard 3667:Realism 3543:Marxism 3458:Deviant 3427:Aretaic 3411:Science 3306:Begriff 3198:at the 2992:: 1–26. 2841:UMBR(a) 2797:Inquiry 2749:Band II 2668:Primary 2663:Sources 2577:Inquiry 2156:"Frege" 2036:Inquiry 2013:Inquiry 1731:address 1681:Band II 1587:(ed.), 1420:Dummett 1254:Frege, 1101:Dummett 1092:1967.) 1025:of the 755:Kantian 633:numbers 609:meaning 603:" and " 571:in the 521:German: 135:, 1874) 126:, 1873) 6002:Modern 5943:Anselm 5864:Hegias 5743:Julian 5653:Origen 5542:Cicero 5460:Middle 5176:(1988) 5166:(1982) 5156:(1980) 5146:(1967) 5136:(1953) 5126:(1951) 5116:(1936) 5106:(1921) 5096:(1905) 5086:(1732) 5076:(1668) 5066:(1666) 5056:(1660) 5046:(n.d.) 5008:Symbol 4709:Searle 4699:Putnam 4649:Kripke 4634:Austin 4619:Carnap 4564:Ricœur 4549:Herder 4539:Hobbes 3836:Oxford 3179:  2791:. In: 2743:1893. 2711:1884. 2689:1879. 2635:  2625:  2480:  2470:  2436:  2392:  2297:  2243:  2191:  1859:1967: 1708:  1670:Band I 1583:, in: 1482:Wismar 888:, and 846:(1879) 739:planes 670:Polish 654:Wismar 544:, and 406:sortal 346:  256:Theses 196:School 185:Region 157:(1884) 150:(1879) 75:Wismar 5598:Gaius 5339:Plato 5034:Works 4943:Class 4704:Lewis 4694:Quine 4679:Grice 4629:Whorf 4589:Sapir 4574:Frege 4524:Xunzi 4494:Plato 4412:Index 3446:Logic 3420:Turns 3333:LaTeX 3320:LaTeX 3310:LaTeX 2917:Logic 2911:; 2. 2633:S2CID 2559:(PDF) 2552:(PDF) 2504:Forvm 2343:Frege 1965:] 1910:Notes 1389:sense 1373:sense 1355:sense 1311:; and 925:, to 833:logic 813:[ 703:] 685:logic 615:. In 542:logic 18:Frege 5484:and 5385:and 5366:and 4993:Sign 4898:Cant 4684:Ryle 4654:Ayer 4579:Boas 3318:, a 3308:, a 3177:ISBN 2919:and 2835:and 2805:and 2623:ISBN 2478:OCLC 2468:ISBN 2434:ISBN 2390:ISBN 2295:ISBN 2241:ISBN 2189:ISBN 1937:Mind 1706:ISBN 1679:and 1649:and 1139:nor 1081:both 1040:and 892:and 890:some 827:and 757:and 710:the 643:Life 635:and 611:and 90:Died 68:Born 5500:New 5332:Old 4938:Set 3069:," 2988:," 2615:doi 2287:doi 2034:," 2011:," 2007:, " 1934:," 1653:in 1611:). 1575:). 1410:". 1202:or 1085:and 1083:is 894:all 886:not 874:and 761:). 737:of 687:of 627:or 171:Era 124:PhD 6266:: 5094:" 3298:, 3292:, 3288:, 3248:: 3218:: 2839:. 2686:). 2680:, 2631:, 2621:, 2609:, 2554:. 2497:: 2476:. 2452:^ 2293:. 2255:^ 2187:. 2158:. 2090:; 2080:^ 2050:, 2030:, 2020:^ 1963:de 1941:94 1637:. 1552:). 1484:, 1298:); 1256:c. 1153:Gx 1151:↔ 1149:Fx 1042:Gx 1038:Fx 1034:Gx 1030:Fx 1019:Fx 1010:. 884:, 880:, 878:or 876:, 714:. 701:de 691:. 656:, 540:, 519:; 506:eɪ 429:, 329:, 325:, 107:, 103:, 81:, 77:, 5301:e 5294:t 5287:v 5090:" 4863:) 4859:( 4446:e 4439:t 4432:v 3605:) 3601:( 3362:e 3355:t 3348:v 3240:. 3232:" 3229:. 3221:" 3033:. 2923:. 2617:: 2537:. 2523:. 2484:. 2446:. 2398:. 2317:. 2303:. 2289:: 2249:. 2197:. 2164:. 2094:. 1967:. 1803:( 1762:" 1753:C 1740:" 1721:" 1712:. 1690:. 1524:. 1509:( 1502:. 1495:. 1488:. 1326:. 1318:( 1305:; 1294:( 1287:; 1180:G 1176:F 1172:G 1168:F 1147:( 1145:x 1141:G 1137:F 1133:G 1129:F 1125:R 1121:F 1117:F 1073:x 1069:x 1065:x 1017:| 1015:x 1008:x 1004:x 1002:( 1000:g 996:x 994:( 992:f 974:( 966:( 515:/ 512:ə 509:ɡ 503:r 500:f 497:ˈ 494:/ 490:( 131:( 122:( 41:. 34:. 20:)

Index

Frege
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

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