Knowledge (XXG)

Infinitism

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of propositions because the candidate beliefs are such that some of them "defeat human understanding." It is simply an impossibility that a subject has an infinite chain of reasons which justify their beliefs because the human mind is finite. Klein concedes that the human mind is finite and cannot contain an infinite number of reasons, but the infinitist, according to Klein, is not committed to a subject actually possessing infinite reasons. "The infinitist is not claiming that in any finite period of time...we can consciously entertain an infinite number of thoughts. It is rather that there are an infinite number of propositions such that each one of them would be consciously thought were the appropriate circumstances to arise." So, an infinite chain of reasons need not be present in the mind in order for a belief to be justified rather it must merely be possible to provide an infinite chain of reasons. There will always be another reason to justify the preceding reason if the subject felt compelled to make the inquiry and had subjective access to that reason.
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The finite mind objection (attributed to John Williams): The human mind is finite and has a limited capacity. "It is impossible to consciously believe an infinite number of propositions (because to believe something takes some time) and it is impossible to "unconsciously believe"...an infinite number
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The Principle of Avoiding Arbitrariness (PAA) is stated as follows: "For all x, if a person, S, has a justification for x, then there is some reason, r1, available to S for x; and there is some reason, r2, available to S for r1; etc." PAA says that in order to avoid arbitrariness, for any proposition
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an intellectually virtuous person would advance r as a reason for p." Any of these conditions are sufficient to describe objectively available reasons and are compatible with infinitism. Klein concedes that, ultimately, the proper characterization of objectively available need be a member of this
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The Availability of Reasons: Klein also relies on the notion of "availability". In other words, a reason must be available to the subject in order for it to be a candidate for justification. There are two conditions that need to be satisfied in order for a reason to be available: objectively and
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A subjectively available reason is stated as follows: "S must be able to call on r." (Subjectively available is comparatively straightforward compared to objectively available.) The subject must be able to evoke the reason in their own mind and use the reason in the process of justification. In
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The Principle of Avoiding Circularity (PAC) is stated as follows: "For all x, if a person, S, has a justification for x, then for all y, if y is in the evidential ancestry of x for S, then x is not in the evidential ancestry of y for S." PAC says that the proposition to be justified cannot be a
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list, but, for the scope of Klein's defense of infinitism, he need not provide a fully developed account of objectively available reasons. Objective availability could be best understood, at least as a working definition, as an existing, truth-apt reason not dependent on the subject.
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A reason that is both objectively and subjectively available to a subject is a candidate for justification according to infinitism (or, at least for Klein).
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The chain must come around in a circle in some finite number of steps (the belief may be justified by its coherence), or
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An objectively available reason is stated as follows: "a belief, r, is objectively available to S as a reason for p if
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r has some sufficiently high probability and the conditional probability of p given r is sufficiently high; or
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essence, the reason must be "properly hooked up with S's own beliefs" in order to be subjectively available.
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In this view, the conjunction of both PAC and PAA leaves infinitism as the only alternative to skepticism.
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available to the agent; this reason will in turn require the same structure of justification, and so on
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member of its own evidential ancestry, which is violated by coherence theories of justification.
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The chain must end with a link that requires no independent justification (a foundation),
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r would be accepted in the long run by an appropriately defined set of people; or
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Philosophical view that knowledge may be justified by an infinite chain of reasons
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Klein, Peter D. (1999). "Human Knowledge and the Infinite Regress of Reasons".
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to be justified for an epistemological agent, there must be some reason
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Objection to Infinitism: Klein addresses an objection to infinitism.
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an impartial, informed observer would accept r as a reason for p; or
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Our beliefs must not be justified after all (as is posited by
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r meets the appropriate conversational presuppositions; or
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Ichikawa, Jonathan Jenkins; Steup, Matthias (2017-03-17).
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r accords with S's deepest epistemic commitments; or
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that considers the possibility, nature, and means of
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Kant 1330: 1328: 1325: 1323: 1320: 1318: 1315: 1313: 1310: 1308: 1305: 1303: 1302:Alvin Goldman 1300: 1298: 1295: 1293: 1290: 1288: 1285: 1283: 1280: 1278: 1275: 1273: 1270: 1268: 1265: 1263: 1260: 1258: 1255: 1253: 1250: 1248: 1245: 1243: 1240: 1238: 1235: 1234: 1232: 1230: 1226: 1222: 1215: 1210: 1208: 1203: 1201: 1196: 1195: 1192: 1180: 1177: 1175: 1172: 1170: 1167: 1165: 1162: 1160: 1159:David Hilbert 1157: 1155: 1152: 1151: 1149: 1145: 1139: 1136: 1134: 1131: 1129: 1126: 1124: 1121: 1120: 1118: 1114: 1108: 1105: 1103: 1100: 1098: 1095: 1092: 1089: 1087: 1084: 1082: 1079: 1077: 1074: 1072: 1071:Infinitesimal 1069: 1067: 1064: 1062: 1059: 1057: 1056:Hilbert space 1054: 1052: 1049: 1047: 1044: 1041: 1038: 1036: 1033: 1031: 1028: 1026: 1023: 1021: 1018: 1016: 1013: 1011: 1008: 1006: 1003: 1001: 998: 996: 993: 992: 990: 986: 980: 977: 975: 972: 970: 967: 965: 962: 960: 957: 956: 954: 950: 944: 941: 939: 936: 934: 931: 929: 926: 924: 921: 919: 916: 914: 911: 909: 906: 905: 903: 899: 893: 888: 881: 876: 874: 869: 867: 862: 861: 858: 850: 849: 844: 840: 838: 834: 831: 830: 826: 817: 813: 806: 804: 802: 800: 798: 796: 794: 790: 779: 775: 768: 765: 760: 759: 754: 750: 743: 740: 733: 729: 726: 724: 721: 719: 718:Perspectivism 716: 714: 711: 709: 706: 705: 701: 699: 695: 692: 689: 685: 682: 678: 674: 670: 666: 662: 658: 653: 649: 646: 644: 640: 636: 630: 626: 624: 620: 612: 608: 605: 602: 601: 600: 598: 594: 590: 586: 582: 578: 574: 570: 562: 560: 558: 554: 550: 546: 542: 531: 526: 524: 519: 517: 512: 511: 509: 508: 501: 498: 496: 493: 491: 488: 486: 483: 482: 474: 473: 466: 463: 461: 458: 456: 455:Immanuel Kant 453: 451: 448: 446: 443: 441: 440:Wang Yangming 438: 436: 433: 431: 428: 426: 423: 422: 414: 413: 406: 403: 401: 398: 396: 393: 391: 388: 386: 383: 381: 378: 376: 373: 372: 364: 363: 356: 353: 351: 348: 346: 343: 341: 338: 336: 333: 331: 328: 326: 323: 321: 320:Justification 318: 316: 313: 311: 308: 306: 303: 301: 298: 296: 293: 291: 288: 286: 285: 281: 277: 275: 272: 270: 267: 266: 258: 257: 250: 249:Structuralism 247: 245: 242: 240: 237: 235: 232: 230: 227: 225: 222: 220: 219:Perspectivism 217: 215: 212: 210: 207: 205: 204:Infallibilism 202: 200: 197: 195: 192: 190: 187: 185: 182: 180: 177: 175: 174:Contextualism 172: 170: 167: 166: 158: 157: 151: 148: 146: 143: 141: 138: 137: 135: 134: 131: 127: 123: 122: 113: 110: 102: 91: 88: 84: 81: 77: 74: 70: 67: 63: 60: –  59: 55: 54:Find sources: 48: 44: 38: 37: 32:This article 30: 26: 21: 20: 2667:Larry Laudan 2647:Imre Lakatos 2602:Otto Neurath 2577:Karl Pearson 2567:Pierre Duhem 2539:Isaac Newton 2469:Protoscience 2427:Epistemology 2301:Anti-realism 2299: / 2280: / 2271: / 2257: / 2255:Reductionism 2253: / 2226:Inductionism 2206:Evolutionism 2011: 1898:a posteriori 1897: 1893: 1745: 1646:Common sense 1624:A posteriori 1623: 1615: 1577:Reductionism 1541: 1471: 1422:Gilbert Ryle 1292:Fred Dretske 1277:Keith DeRose 1221:Epistemology 1154:Georg Cantor 1128:Möbius plane 1066:Infinite set 1010:Aleph number 846: 815: 811: 781:. Retrieved 777: 767: 756: 742: 696: 693: 690: 686: 680: 676: 672: 668: 664: 660: 656: 654: 650: 647: 643:ad infinitum 642: 638: 634: 631: 627: 616: 596: 592: 588: 584: 566: 549:epistemology 540: 539: 284:a posteriori 283: 279: 208: 130:Epistemology 105: 96: 86: 79: 72: 65: 58:"Infinitism" 53: 41:Please help 36:verification 33: 2657:Ian Hacking 2642:Thomas Kuhn 2627:Karl Popper 2607:C. D. Broad 2524:Roger Bacon 2452:Non-science 2394:Linguistics 2374:Archaeology 2269:Rationalism 2259:Determinism 2246:Physicalism 2211:Fallibilism 2161:Coherentism 2091:Testability 2044:Observation 2039:Objectivity 2000:alternative 1931:Correlation 1921:Consilience 1726:Proposition 1696:Objectivity 1582:Reliabilism 1572:Rationalism 1517:Fallibilism 1492:Coherentism 1437:Ernest Sosa 1412:Thomas Reid 1397:James Pryor 1367:G. E. Moore 1357:David Lewis 1347:Saul Kripke 1342:Peter Klein 1322:Susan Haack 1252:Robert Audi 1015:Beth number 708:Fallibilism 581:coherentism 340:Rationality 315:Information 229:Rationalism 189:Fallibilism 169:Coherentism 2717:Categories 2544:David Hume 2517:Precursors 2399:Psychology 2379:Economics‎ 2273:Empiricism 2264:Pragmatism 2251:Positivism 2241:Naturalism 2111:scientific 1995:Hypothesis 1958:Experiment 1827:Discussion 1817:Task Force 1736:Simplicity 1716:Perception 1592:Skepticism 1567:Positivism 1542:Infinitism 1507:Empiricism 1362:John Locke 1327:David Hume 1317:Anil Gupta 1312:Paul Grice 1287:John Dewey 1257:A. J. Ayer 1116:Geometries 974:Set theory 837:PhilPapers 833:Infinitism 818:: 297–325. 783:2015-06-19 734:References 728:Relativism 623:Paul Moser 553:philosophy 541:Infinitism 450:David Hume 310:Experience 239:Skepticism 234:Relativism 224:Pragmatism 214:Naturalism 209:Infinitism 184:Empiricism 69:newspapers 2384:Geography 2352:Chemistry 2311:Scientism 2106:ladenness 1926:Construct 1904:Causality 1691:Knowledge 1676:Induction 1626:knowledge 1618:knowledge 1097:Supertask 557:knowledge 425:Aristotle 330:Knowledge 325:Induction 300:Certainty 244:Solipsism 179:Dogmatism 99:June 2015 2728:Infinity 2679:Category 2331:Vitalism 2154:Theories 2128:Variable 2049:Paradigm 1936:function 1894:A priori 1883:Analysis 1876:Concepts 1812:Category 1631:Analysis 1616:A priori 1607:Concepts 1547:Innatism 1484:Theories 995:0.999... 887:Infinity 713:Finitism 702:See also 545:infinite 295:Credence 280:A priori 262:Concepts 145:Category 2389:History 2357:Physics 2347:Biology 2145:more... 2133:control 2029:Inquiry 1747:more... 1527:Fideism 1473:more... 913:Apeiron 901:History 755:(ed.). 569:Gettier 465:more... 368:Domains 335:Meaning 194:Fideism 162:Schools 140:Outline 83:scholar 2101:choice 2096:Theory 2034:Nature 1963:design 1641:Belief 1537:Holism 567:Since 355:Wisdom 345:Reason 290:Belief 269:Action 85:  78:  71:  64:  56:  1822:Stubs 1741:Truth 1387:Plato 751:. In 350:Truth 150:Index 90:JSTOR 76:books 2005:null 1975:Fact 1896:and 579:and 305:Data 282:and 62:news 835:at 681:(7) 677:(6) 673:(5) 669:(4) 665:(3) 661:(2) 657:(1) 595:by 45:by 2719:: 845:. 816:13 814:. 792:^ 776:. 613:). 591:, 559:. 1861:e 1854:t 1847:v 1213:e 1206:t 1199:v 895:) 892:∞ 889:( 879:e 872:t 865:v 851:. 786:. 639:r 635:x 597:C 593:B 589:B 585:A 529:e 522:t 515:v 112:) 106:( 101:) 97:( 87:· 80:· 73:· 66:· 39:.

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Epistemology
Outline
Category
Index
Coherentism
Contextualism
Dogmatism
Empiricism
Fallibilism
Fideism
Foundationalism
Infallibilism
Infinitism
Naturalism
Perspectivism
Pragmatism
Rationalism
Relativism
Skepticism

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