Knowledge (XXG)

Trivialism

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595: 27: 566:("This sentence is false"), and claiming that natural language has developed without central direction. Azzouni implies that every sentence in any natural language is true. "According to Azzouni, natural language is trivial, that is to say, every sentence in natural language is true...And, of course, trivialism follows straightforwardly from the triviality of natural language: after all, 'trivialism is true' is a sentence in natural language." 3715: 3702: 1599: 656: 255:, with a "world" being a possibility and "the actual world" being reality. It is theorized a trivialist simply designates a value to all propositions in equivalence to seeing all propositions and their negations as true. This taxonomy is used to demonstrate the different strengths and plausibility of trivialism in this context: 315:
as such: "A family of arguments between 1008a26 and 1007b12 of the form 'If trivialism is right, then X is the case, but if X is the case then all things are one. But it is impossible that all things are one, so trivialism is impossible.' ... these Aristotelian considerations are the seeds of
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is interpreted as stating that God contained every fact, which Kabay argues would result in trivialism, but Kabay admits that mainstream Cusa scholars would not agree with interpreting Cusa as a trivialist. Kabay also mentions Spinoza as a philosopher whose views resemble trivialism. Kabay argues
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appears to suggest that Heraclitus and Anaxagoras advocated trivialism. He quotes Anaxagoras as saying that all things are one. Kabay also suggests Heraclitus' ideas are similar to trivialism because Heraclitus believed in a union of opposites, shown in such quotes as "the way up and down is the
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a true proposition", meaning that all propositions are believed to be inherently proven as true. Without consistent use of this concept, a claim of advocating trivialism may not be seen as genuine and complete trivialism; as to claim a proposition is true but deny it as probably true may be
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has argued that various philosophers in history have held views resembling trivialism, although he stops short of calling them trivialists. He mentions various pre-Socratic Greek philosophers as philosophers holding views resembling trivialism. He mentions that Aristotle in his book
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I argue that, far from showing the impossibility of such a thing, the argument clarifies the very nature of a trivialist. Among its other properties, such a being will be in a quiescent state, and it cannot perform any action — it cannot eat, preach, walk around, or
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virtually all subsequent suspicions against trivialism: Trivialism has to be rejected because it identifies what should not be identified, and is undesirable from a logical point of view because it identifies what is not identical, namely, truth and falsehood."
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Spinoza was a trivialist because Spinoza believed everything was made of one substance which had infinite attributes. Kabay also mentions Hegel as a philosopher whose views resemble trivialism, quoting Hegel as stating in
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The consensus among the majority of philosophers is descriptively a denial of trivialism, termed as non-trivialism or anti-trivialism. This is due to it being unable to produce a sound argument through the
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Comesaña, J. (2012). Can Contemporary Semantics Help the Pyrrhonian Get a Life?. In Pyrrhonism in Ancient, Modern, and Contemporary Philosophy (pp. 217–240). Springer Netherlands.
462:, or state of imperturbability; it is purported the figurative trivialist inherently attains this state. This is claimed to be justified by the figurative trivialist seeing every 234: 466:
being true, even in a state of anxiety. Once universally accepted as true, the trivialist is free from any further anxieties regarding whether any state of affairs is true.
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Burnyeat, M. (1980). Can the sceptic live his scepticism?. In M. Schofield, M. Burnyeat, and J. Barnes (eds.), Doubt and Dogmatism (pp. 20–53). Cambridge University Press.
480:. However, insofar as the trivialist affirms all states of affairs as universally true, the Pyrrhonist neither affirms nor denies the truth (or falsity) of such affairs. 190: 508:
already obtains." Due to their suspension of determination upon striking equipollence between claims, the Pyrrhonist has also remained subject to apraxia charges.
586:. Priest writes, "He held that, at least at one time, everything was all mixed up so that no predicate applied to any one thing more than a contrary predicate." 3750: 421:) is the oft-debated theory that every proposition is possible. With this assumed to be true, trivialism can be assumed to be true as well according to Kabay. 1044:
Wieland, J. W. (2012) Can Pyrrhonists act normally? Philosophical Explorations: An International Journal for the Philosophy of Mind and Action 15(3):277-289.
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Kabay compares the Pyrrhonian skeptic to the figurative trivialist and claims that as the skeptic reportedly attains a state of imperturbability through a
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considers trivialism untenable: "a substantial case can be made for dialetheism; belief in , though, would appear to be grounds for certifiable insanity".
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and other arguments are considered to be against trivialism. Luis Estrada-González in "Models of Possiblism and Trivialism" has interpreted Aristotle's
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It is asserted by both Priest and Kabay that it is impossible for a trivialist to truly choose and thus act. Priest argues this by the following in
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Luis Estrada-González in "Models of Possibilism and Trivialism" lists eight types of anti-trivialism (or non-trivialism) through the use of
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that needs to be completely represented. Thus, literally, the trivialist theory is something expressed in the simplest possible way.
3065: 1533: 643:(AT7) Absolute anti-trivialism (or maximal logical nihilism): All propositions do not have a value of true or false in every world. 3597: 640:(AT6) Super anti-trivialism (or moderate logical nihilism): All propositions do not have a value of true or false at some world. 3627: 1649: 1209: 3755: 3653: 2813: 1538: 1613: 2227: 1812: 463: 454:
In Paul Kabay's comparison of trivialism to schools of philosophical skepticism (in "On the Plenitude of Truth")—such as
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Kabay, Paul (2013). "Interpreting the Divyadhvani: On Why the Digambara Sect Is Right about the Nature of the Kevalin".
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Luis Estrada-González in "Models of Possibilism and Trivialism" lists four types of trivialism through the concept of
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In this case—and according to independent claims by Graham Priest—trivialism is considered the complete opposite of
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Frederick Kroon (2004). "Realism and Dialetheism". In Graham Priest; J. C. Beall; Bradley Armour-Garb (eds.).
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Theoretical arguments and anecdotes have been offered for trivialism to contrast it with theories such as
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minimal anti-trivialism: In the actual world, some propositions do not have a value of true or false.
291: 89: 637:(AT5) Strong anti-trivialism: Some propositions do not have a value of true or false in every world. 145:, from this meaning, a "trivial" theory is something regarded as defective in the face of a complex 3718: 3673: 3663: 3622: 3570: 3555: 3484: 3464: 3446: 3278: 3245: 3106: 3093: 2900: 2697: 2608: 2563: 2469: 2355: 2168: 2016: 1453: 1436: 1416: 1379: 1328: 1323: 1265: 1202: 343: 61:
of the form "p and not p" (e.g. the ball is red and not red) are true. In accordance with this, a
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may use "the law of non-triviality" to abstain from trivialism in logical practices that involve
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all can be asserted as valid and not required to be resolved and used to defend trivialism.
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Paul Kabay has argued for trivialism in "On the Plenitude of Truth" from the following:
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If possibilism is true, then there is a world (either possible or impossible or both),
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The above would be read as "given any proposition, it is a true proposition" through
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A claim of trivialism may always apply its fundamental truth, otherwise known as a
50: 272:(T3) Absolute trivialism: In all worlds, all propositions have a designated value. 1170: 259:(T0) Minimal trivialism: At some world, all propositions have a designated value. 3354: 3293: 3165: 3145: 3050: 2987: 2947: 2927: 2853: 2823: 2484: 2420: 2112: 2097: 1973: 1963: 1912: 1878: 1817: 1483: 1478: 1431: 674: 138: 104: 54: 3200: 3028: 2977: 2967: 2838: 2742: 2687: 2494: 2474: 2340: 2107: 2021: 1850: 1797: 1761: 1665: 1426: 1394: 1359: 1080: 964: 907: 864: 651: 575: 477: 455: 146: 81: 602:; Read as "given any proposition, it is neither a true or false proposition." 342:
There are theoretical arguments for trivialism argued from the position of a
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trivialism: In the actual world, all propositions have a designated value.
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same". Kabay also mentions a fifteenth century Roman Catholic cardinal,
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already to hold. Conversely, if one acts with the purpose of bringing
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Instrumentalist Science of Zen Philosophy: Applied Ad Hoc Trivialism
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He formulated the "law of non-triviality" as a replacement for the
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PhD thesis, School of Philosophy, Anthropology, and Social Inquiry
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Absolute anti-trivialism (or maximal logical nihilism) in
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The Law of Non-Contradiction: New Philosophical Essays
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is a purported advocate of trivialism in his article
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Priest, Graham (1999). "Perceiving contradictions".
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"Could everything be true?". 161:, trivialism may be expressed as the following: 356: 745:The Many Valued and Nonmonotonic Turn in Logic 562:and inconsistent through the existence of the 131:meaning commonplace, in turn derived from the 1650: 1203: 921: 919: 917: 65:is a person who believes everything is true. 8: 858: 856: 854: 852: 850: 848: 846: 844: 842: 840: 838: 776: 774: 772: 770: 768: 405:is identical to A, then trivialism is true 3419: 3410: 3393: 3089: 2796: 2568: 2205: 2146: 2135: 1684: 1673: 1657: 1643: 1635: 1521: 1286: 1210: 1196: 1188: 539:"everything is inherently contradictory." 238:The above would be read as a "proposition 875:, Research Collections (UMER). p. 29 814: 812: 810: 808: 806: 743:. In Gabbay, Dov M.; Woods, John (eds.). 578:is suggested as a possible trivialist by 334:in paraconsistent logic and dialetheism. 212: 168: 987:Sextus Empiricus: Outlines of Scepticism 731: 397:is a possible world, and it is true in 72:, trivialism is in direct violation of 821:"Models of Possibilism and Trivialism" 389:If it is true that there is a world, 7: 3751:Philosophical schools and traditions 386:is identical to the actual world, A 1385:Analytic and synthetic propositions 1256:Formal semantics (natural language) 229:{\displaystyle p\leftrightarrow Tp} 953:Australasian Journal of Philosophy 896:Australasian Journal of Philosophy 530:, stating that what Cusa wrote in 170: 14: 741:"Paraconsistency and Dialetheism" 123:, as a term, is derived from the 3714: 3713: 3700: 1597: 654: 504:about, one cannot believe that 458:—who seek to attain a form of 369:, in which trivialism is true 217: 1: 3186:Ordinary language philosophy 1169:Immanuel (Immanuel) (2014). 825:Logic and Logical Philosophy 277:Arguments against trivialism 3236:Contemporary utilitarianism 3151:Internalism and externalism 873:The University of Melbourne 787:Lambert Academic Publishing 286:and it being considered an 185:{\displaystyle \forall pTp} 107:and paraconsistent logics. 3777: 2500:Svatantrika and Prasangika 1065:"Troubles with Trivialism" 991:Cambridge University Press 445:Philosophical implications 15: 3694: 3409: 3392: 2799: 2145: 2134: 1722:Philosophy of mathematics 1712:Philosophy of information 1683: 1672: 1592: 1469:Necessity and sufficiency 1225: 1081:10.1080/00201740701698670 965:10.1080/00048400012349471 908:10.1080/00048409912349211 865:"A defense of trivialism" 350:Argument from possibilism 1006:Philosophy East and West 928:Doubt truth to be a liar 819:Estrada-González, Luis. 584:Doubt Truth to Be a Liar 490:Doubt Truth to Be a Liar 450:Comparison to skepticism 338:Arguments for trivialism 332:law of non-contradiction 196:universal quantification 18:Triviality (mathematics) 16:Not to be confused with 3191:Postanalytic philosophy 3132:Experimental philosophy 1152:Oxford University Press 1122:10.1111/1467-9191.00142 1109:The Philosophical Forum 926:Priest, Graham (2008). 739:Priest, Graham (2007). 518:A Defense of Trivialism 484:Impossibility of action 307:law of noncontradiction 247:Taxonomy of trivialisms 78:law of noncontradiction 3324:Social constructionism 2336:Hellenistic philosophy 1752:Theoretical philosophy 1727:Philosophy of religion 1717:Philosophy of language 1102:Azzouni, Jody (2003). 985:Empiricus, S. 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3077: 3076: 3074: 3073: 3068: 3066:Nietzscheanism 3063: 3058: 3053: 3048: 3043: 3038: 3037: 3036: 3026: 3020: 3018: 3014: 3013: 3011: 3010: 3008:Utilitarianism 3005: 3000: 2995: 2990: 2985: 2980: 2975: 2970: 2965: 2960: 2955: 2950: 2945: 2940: 2935: 2930: 2925: 2920: 2915: 2910: 2909: 2908: 2906:Transcendental 2903: 2898: 2893: 2888: 2883: 2873: 2872: 2871: 2861: 2856: 2851: 2846: 2844:Existentialism 2841: 2836: 2831: 2826: 2821: 2816: 2811: 2806: 2800: 2794: 2788: 2787: 2784: 2783: 2781: 2780: 2774: 2772: 2766: 2765: 2763: 2762: 2757: 2750: 2745: 2740: 2735: 2729: 2727: 2721: 2720: 2718: 2717: 2712: 2711: 2710: 2705: 2700: 2695: 2690: 2685: 2680: 2669: 2667: 2663: 2662: 2660: 2659: 2654: 2649: 2644: 2639: 2634: 2632:Augustinianism 2629: 2623: 2621: 2615: 2614: 2612: 2611: 2606: 2601: 2596: 2591: 2586: 2581: 2575: 2573: 2566: 2560: 2559: 2556: 2555: 2553: 2552: 2547: 2545:Zoroastrianism 2542: 2537: 2531: 2529: 2523: 2522: 2520: 2519: 2518: 2517: 2512: 2507: 2502: 2497: 2492: 2487: 2482: 2477: 2467: 2466: 2465: 2460: 2450: 2449: 2448: 2443: 2438: 2433: 2428: 2423: 2418: 2413: 2402: 2400: 2394: 2393: 2391: 2390: 2388:Church Fathers 2385: 2380: 2375: 2370: 2365: 2360: 2359: 2358: 2353: 2348: 2343: 2333: 2328: 2323: 2318: 2313: 2308: 2303: 2302: 2301: 2296: 2291: 2286: 2281: 2270: 2268: 2259: 2258: 2256: 2255: 2250: 2245: 2240: 2235: 2230: 2225: 2220: 2214: 2212: 2203: 2197: 2196: 2194: 2193: 2192: 2191: 2186: 2181: 2176: 2171: 2161: 2155: 2153: 2143: 2142: 2139: 2132: 2131: 2128: 2127: 2124: 2123: 2121: 2120: 2115: 2110: 2105: 2100: 2095: 2090: 2085: 2079: 2077: 2071: 2070: 2068: 2067: 2062: 2057: 2051: 2049: 2043: 2042: 2040: 2039: 2034: 2029: 2024: 2019: 2014: 2008: 2006: 2000: 1999: 1997: 1996: 1991: 1986: 1981: 1976: 1971: 1966: 1960: 1958: 1952: 1951: 1949: 1948: 1943: 1938: 1933: 1928: 1923: 1917: 1915: 1909: 1908: 1906: 1905: 1903:Libertarianism 1900: 1899: 1898: 1888: 1887: 1886: 1876: 1870: 1868: 1862: 1861: 1859: 1858: 1853: 1848: 1842: 1840: 1834: 1833: 1831: 1830: 1825: 1820: 1815: 1810: 1805: 1800: 1794: 1792: 1786: 1785: 1783: 1782: 1777: 1772: 1766: 1764: 1758: 1757: 1755: 1754: 1749: 1744: 1739: 1734: 1729: 1724: 1719: 1714: 1709: 1707:Metaphilosophy 1704: 1699: 1693: 1691: 1681: 1680: 1677: 1670: 1669: 1664: 1662: 1661: 1654: 1647: 1639: 1630: 1629: 1627: 1626: 1621: 1611: 1606: 1593: 1590: 1589: 1586: 1585: 1583: 1582: 1577: 1572: 1567: 1562: 1556: 1554: 1550: 1549: 1547: 1546: 1541: 1536: 1530: 1528: 1519: 1515: 1514: 1512: 1511: 1506: 1501: 1496: 1491: 1486: 1481: 1476: 1471: 1466: 1461: 1456: 1451: 1446: 1445: 1444: 1434: 1429: 1424: 1419: 1414: 1413: 1412: 1407: 1397: 1392: 1387: 1382: 1376: 1374: 1370: 1369: 1366: 1365: 1363: 1362: 1357: 1352: 1347: 1341: 1339: 1335: 1334: 1332: 1331: 1326: 1321: 1316: 1315: 1314: 1309: 1299: 1293: 1291: 1284: 1283: 1278: 1273: 1268: 1263: 1258: 1253: 1247: 1245: 1241: 1240: 1238: 1237: 1232: 1226: 1223: 1222: 1217: 1215: 1214: 1207: 1200: 1192: 1186: 1185: 1166: 1160: 1141: 1138: 1135: 1134: 1094: 1075:(6): 655–667. 1055: 1046: 1037: 1028: 995: 978: 959:(2): 189–195. 943: 937:978-0199238514 936: 913: 886: 834: 802: 795: 764: 757: 730: 729: 727: 724: 723: 722: 717: 712: 707: 702: 697: 692: 687: 682: 677: 672: 666: 665: 649: 646: 645: 644: 641: 638: 635: 632: 625: 622: 619: 600:symbolic logic 591: 588: 571: 568: 544: 541: 513: 510: 485: 482: 451: 448: 446: 443: 431:liar's paradox 426: 423: 410: 409: 406: 387: 378:It is true in 376: 370: 363: 351: 348: 339: 336: 321: 318: 299: 296: 278: 275: 274: 273: 270: 263: 260: 248: 245: 240:if and only if 225: 222: 219: 216: 207: 181: 178: 175: 172: 163: 159:symbolic logic 154: 151: 117: 114: 112: 109: 59:contradictions 43:logical theory 32:symbolic logic 30:Trivialism in 23:Logical theory 22: 13: 10: 9: 6: 4: 3: 2: 3773: 3762: 3759: 3757: 3754: 3752: 3749: 3747: 3744: 3742: 3739: 3738: 3736: 3721: 3720: 3711: 3709: 3708: 3697: 3696: 3693: 3675: 3672: 3670: 3667: 3665: 3662: 3660: 3657: 3655: 3652: 3651: 3649: 3647:Miscellaneous 3645: 3639: 3636: 3634: 3631: 3629: 3626: 3624: 3621: 3619: 3616: 3614: 3611: 3609: 3606: 3604: 3601: 3599: 3596: 3594: 3591: 3589: 3586: 3584: 3581: 3579: 3576: 3572: 3569: 3568: 3567: 3564: 3562: 3559: 3557: 3554: 3553: 3551: 3549: 3545: 3539: 3536: 3534: 3531: 3529: 3526: 3524: 3521: 3519: 3516: 3515: 3513: 3511: 3507: 3501: 3498: 3496: 3493: 3491: 3488: 3486: 3483: 3481: 3478: 3476: 3473: 3471: 3468: 3466: 3463: 3462: 3460: 3458: 3454: 3448: 3445: 3443: 3440: 3438: 3435: 3433: 3430: 3429: 3427: 3425: 3421: 3418: 3416: 3412: 3408: 3400: 3399: 3395: 3391: 3373: 3372: 3368: 3366: 3363: 3361: 3358: 3356: 3353: 3351: 3348: 3347: 3345: 3343:Miscellaneous 3341: 3335: 3332: 3330: 3329:Structuralism 3327: 3325: 3322: 3320: 3317: 3315: 3314:Postmodernism 3312: 3310: 3307: 3305: 3304:Phenomenology 3302: 3300: 3297: 3295: 3292: 3290: 3287: 3285: 3282: 3280: 3277: 3275: 3272: 3270: 3267: 3265: 3262: 3261: 3259: 3257: 3253: 3247: 3244: 3242: 3241:Vienna Circle 3239: 3237: 3234: 3232: 3229: 3227: 3224: 3222: 3219: 3217: 3214: 3212: 3209: 3207: 3204: 3202: 3199: 3197: 3194: 3192: 3189: 3187: 3184: 3182: 3179: 3177: 3174: 3172: 3171:Moral realism 3169: 3167: 3164: 3162: 3159: 3157: 3154: 3152: 3149: 3147: 3143: 3140: 3138: 3135: 3133: 3130: 3128: 3125: 3123: 3120: 3118: 3115: 3113: 3110: 3108: 3105: 3103: 3100: 3099: 3097: 3095: 3091: 3088: 3086: 3082: 3072: 3069: 3067: 3064: 3062: 3059: 3057: 3054: 3052: 3049: 3047: 3044: 3042: 3039: 3035: 3032: 3031: 3030: 3027: 3025: 3022: 3021: 3019: 3015: 3009: 3006: 3004: 3001: 2999: 2996: 2994: 2991: 2989: 2986: 2984: 2981: 2979: 2976: 2974: 2973:Phenomenology 2971: 2969: 2966: 2964: 2961: 2959: 2956: 2954: 2951: 2949: 2946: 2944: 2941: 2939: 2936: 2934: 2931: 2929: 2926: 2924: 2921: 2919: 2916: 2914: 2913:Individualism 2911: 2907: 2904: 2902: 2899: 2897: 2894: 2892: 2889: 2887: 2884: 2882: 2879: 2878: 2877: 2874: 2870: 2867: 2866: 2865: 2862: 2860: 2857: 2855: 2852: 2850: 2847: 2845: 2842: 2840: 2837: 2835: 2832: 2830: 2827: 2825: 2822: 2820: 2817: 2815: 2812: 2810: 2807: 2805: 2802: 2801: 2798: 2795: 2793: 2789: 2779: 2778:Judeo-Islamic 2776: 2775: 2773: 2771: 2767: 2761: 2758: 2756: 2755: 2754:ʿIlm al-Kalām 2751: 2749: 2746: 2744: 2741: 2739: 2736: 2734: 2731: 2730: 2728: 2726: 2722: 2716: 2713: 2709: 2706: 2704: 2703:Shuddhadvaita 2701: 2699: 2696: 2694: 2691: 2689: 2686: 2684: 2681: 2679: 2676: 2675: 2674: 2671: 2670: 2668: 2664: 2658: 2655: 2653: 2650: 2648: 2645: 2643: 2640: 2638: 2637:Scholasticism 2635: 2633: 2630: 2628: 2625: 2624: 2622: 2620: 2616: 2610: 2607: 2605: 2602: 2600: 2597: 2595: 2592: 2590: 2587: 2585: 2582: 2580: 2577: 2576: 2574: 2570: 2567: 2565: 2561: 2551: 2548: 2546: 2543: 2541: 2538: 2536: 2533: 2532: 2530: 2528: 2524: 2516: 2513: 2511: 2508: 2506: 2503: 2501: 2498: 2496: 2493: 2491: 2488: 2486: 2483: 2481: 2478: 2476: 2473: 2472: 2471: 2468: 2464: 2461: 2459: 2456: 2455: 2454: 2451: 2447: 2444: 2442: 2439: 2437: 2434: 2432: 2429: 2427: 2424: 2422: 2419: 2417: 2414: 2412: 2409: 2408: 2407: 2404: 2403: 2401: 2399: 2395: 2389: 2386: 2384: 2381: 2379: 2376: 2374: 2371: 2369: 2366: 2364: 2361: 2357: 2354: 2352: 2349: 2347: 2344: 2342: 2339: 2338: 2337: 2334: 2332: 2329: 2327: 2324: 2322: 2319: 2317: 2314: 2312: 2309: 2307: 2304: 2300: 2297: 2295: 2292: 2290: 2287: 2285: 2282: 2280: 2277: 2276: 2275: 2272: 2271: 2269: 2267: 2264: 2260: 2254: 2251: 2249: 2246: 2244: 2241: 2239: 2236: 2234: 2231: 2229: 2226: 2224: 2221: 2219: 2216: 2215: 2213: 2211: 2207: 2204: 2202: 2198: 2190: 2187: 2185: 2182: 2180: 2177: 2175: 2172: 2170: 2167: 2166: 2165: 2162: 2160: 2157: 2156: 2154: 2152: 2148: 2144: 2137: 2133: 2119: 2116: 2114: 2111: 2109: 2106: 2104: 2101: 2099: 2096: 2094: 2091: 2089: 2088:Conceptualism 2086: 2084: 2081: 2080: 2078: 2076: 2072: 2066: 2063: 2061: 2058: 2056: 2053: 2052: 2050: 2048: 2044: 2038: 2035: 2033: 2030: 2028: 2025: 2023: 2020: 2018: 2017:Particularism 2015: 2013: 2010: 2009: 2007: 2005: 2001: 1995: 1992: 1990: 1987: 1985: 1984:Functionalism 1982: 1980: 1977: 1975: 1972: 1970: 1969:Eliminativism 1967: 1965: 1962: 1961: 1959: 1957: 1953: 1947: 1944: 1942: 1939: 1937: 1934: 1932: 1929: 1927: 1924: 1922: 1919: 1918: 1916: 1914: 1910: 1904: 1901: 1897: 1894: 1893: 1892: 1889: 1885: 1882: 1881: 1880: 1877: 1875: 1874:Compatibilism 1872: 1871: 1869: 1867: 1863: 1857: 1854: 1852: 1849: 1847: 1844: 1843: 1841: 1839: 1835: 1829: 1826: 1824: 1821: 1819: 1816: 1814: 1813:Particularism 1811: 1809: 1806: 1804: 1801: 1799: 1796: 1795: 1793: 1791: 1787: 1781: 1778: 1776: 1773: 1771: 1768: 1767: 1765: 1763: 1759: 1753: 1750: 1748: 1745: 1743: 1740: 1738: 1735: 1733: 1730: 1728: 1725: 1723: 1720: 1718: 1715: 1713: 1710: 1708: 1705: 1703: 1700: 1698: 1695: 1694: 1692: 1690: 1686: 1682: 1675: 1671: 1667: 1660: 1655: 1653: 1648: 1646: 1641: 1640: 1637: 1625: 1622: 1619: 1615: 1612: 1610: 1607: 1605: 1595: 1594: 1591: 1581: 1580:Logic symbols 1578: 1576: 1573: 1571: 1568: 1566: 1563: 1561: 1558: 1557: 1555: 1551: 1545: 1542: 1540: 1537: 1535: 1532: 1531: 1529: 1527: 1523: 1520: 1516: 1510: 1507: 1505: 1502: 1500: 1497: 1495: 1492: 1490: 1487: 1485: 1482: 1480: 1477: 1475: 1472: 1470: 1467: 1465: 1462: 1460: 1459:Logical truth 1457: 1455: 1452: 1450: 1447: 1443: 1440: 1439: 1438: 1435: 1433: 1430: 1428: 1425: 1423: 1420: 1418: 1415: 1411: 1408: 1406: 1403: 1402: 1401: 1400:Contradiction 1398: 1396: 1393: 1391: 1388: 1386: 1383: 1381: 1378: 1377: 1375: 1371: 1361: 1358: 1356: 1353: 1351: 1348: 1346: 1345:Argumentation 1343: 1342: 1340: 1336: 1330: 1329:Philosophical 1327: 1325: 1324:Non-classical 1322: 1320: 1317: 1313: 1310: 1308: 1305: 1304: 1303: 1300: 1298: 1295: 1294: 1292: 1288: 1282: 1279: 1277: 1274: 1272: 1269: 1267: 1264: 1262: 1259: 1257: 1254: 1252: 1249: 1248: 1246: 1242: 1236: 1233: 1231: 1228: 1227: 1224: 1220: 1213: 1208: 1206: 1201: 1199: 1194: 1193: 1190: 1174: 1173: 1167: 1163: 1157: 1153: 1149: 1144: 1143: 1139: 1123: 1119: 1115: 1111: 1110: 1105: 1098: 1095: 1090: 1086: 1082: 1078: 1074: 1070: 1066: 1059: 1056: 1050: 1047: 1041: 1038: 1032: 1029: 1025: 1020: 1016: 1012: 1008: 1007: 999: 996: 992: 988: 982: 979: 974: 970: 966: 962: 958: 954: 947: 944: 939: 933: 929: 922: 920: 918: 914: 909: 905: 901: 897: 890: 887: 874: 870: 866: 863:Kabay, Paul. 859: 857: 855: 853: 851: 849: 847: 845: 843: 841: 839: 835: 830: 826: 822: 815: 813: 811: 809: 807: 803: 798: 792: 788: 784: 777: 775: 773: 771: 769: 765: 760: 754: 750: 746: 742: 735: 732: 725: 721: 718: 716: 713: 711: 708: 706: 703: 701: 698: 696: 693: 691: 688: 686: 683: 681: 678: 676: 673: 671: 670:Discordianism 668: 667: 663: 652: 647: 642: 639: 636: 633: 630: 626: 623: 620: 617: 613: 612: 611: 609: 601: 596: 589: 587: 585: 581: 580:Graham Priest 577: 569: 567: 565: 561: 557: 553: 549: 542: 540: 538: 533: 529: 524: 519: 511: 509: 507: 503: 499: 495: 491: 483: 481: 479: 474: 472: 467: 465: 461: 457: 449: 444: 442: 440: 436: 432: 424: 422: 420: 417:; related to 416: 415:modal realism 407: 404: 400: 396: 392: 388: 385: 381: 377: 374: 371: 368: 364: 361: 358: 357: 355: 349: 347: 345: 337: 335: 333: 328: 326: 325:Graham Priest 319: 317: 314: 313: 308: 304: 297: 295: 293: 289: 285: 276: 271: 268: 264: 261: 258: 257: 256: 254: 246: 244: 241: 223: 220: 214: 206: 204: 199: 197: 179: 176: 173: 162: 160: 152: 150: 148: 144: 140: 136: 135: 130: 126: 122: 115: 110: 108: 106: 102: 101:modal realism 97: 95: 91: 87: 83: 79: 75: 71: 66: 64: 60: 57:and that all 56: 52: 48: 44: 40: 33: 28: 19: 3712: 3698: 3369: 3360:Postcritique 3350:Kyoto School 3309:Posthumanism 3289:Hermeneutics 3144: / 3085:Contemporary 3061:Newtonianism 3024:Cartesianism 2983:Reductionism 2819:Conservatism 2814:Collectivism 2752: 2480:Sarvāstivadā 2458:Anekantavada 2383:Neoplatonism 2351:Epicureanism 2284:Pythagoreans 2223:Confucianism 2189:Contemporary 2179:Early modern 2083:Anti-realism 2037:Universalism 1994:Subjectivism 1790:Epistemology 1499:Substitution 1319:Mathematical 1244:Major fields 1177:. 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Retrieved 868: 828: 824: 782: 744: 734: 690:Anekantavada 605: 583: 573: 564:liar paradox 551: 548:Jody Azzouni 546: 536: 531: 522: 517: 515: 505: 501: 497: 493: 489: 487: 475: 468: 453: 428: 412: 402: 398: 394: 390: 383: 379: 372: 366: 353: 341: 329: 323: 310: 301: 280: 250: 237: 200: 193: 156: 132: 128: 120: 119: 98: 67: 62: 51:propositions 38: 37: 3355:Objectivism 3294:Neo-Marxism 3256:Continental 3166:Meta-ethics 3146:Coherentism 3051:Hegelianism 2988:Rationalism 2948:Natural law 2928:Materialism 2854:Historicism 2824:Determinism 2715:Navya-Nyāya 2490:Sautrāntika 2485:Pudgalavada 2421:Vaisheshika 2274:Presocratic 2174:Renaissance 2113:Physicalism 2098:Materialism 2004:Normativity 1989:Objectivism 1974:Emergentism 1964:Behaviorism 1913:Metaphysics 1879:Determinism 1818:Rationalism 1614:WikiProject 1484:Proposition 1479:Probability 1432:Description 1373:Foundations 675:Doublethink 523:Metaphysics 360:Possibilism 105:dialetheism 3735:Categories 3654:Amerindian 3561:Australian 3500:Vietnamese 3480:Indonesian 3029:Kantianism 2978:Positivism 2968:Pragmatism 2943:Naturalism 2923:Liberalism 2901:Subjective 2839:Empiricism 2743:Avicennism 2688:Bhedabheda 2572:East Asian 2495:Madhyamaka 2475:Abhidharma 2341:Pyrrhonism 2108:Nominalism 2103:Naturalism 2032:Skepticism 2022:Relativism 2012:Absolutism 1941:Naturalism 1851:Deontology 1823:Skepticism 1808:Naturalism 1798:Empiricism 1762:Aesthetics 1666:Philosophy 1544:Set theory 1442:Linguistic 1437:Entailment 1427:Definition 1395:Consequent 1390:Antecedent 1179:30 January 1013:(2): 177. 902:(4): 443. 831:: 175–205. 726:References 576:Anaxagoras 570:Anaxagoras 478:skepticism 456:Pyrrhonism 437:, and the 147:phenomenon 129:trivialis, 121:Trivialism 86:skepticism 82:philosophy 63:trivialist 47:statements 39:Trivialism 3533:Pakistani 3495:Taiwanese 3442:Ethiopian 3415:By region 3401:By region 3216:Scientism 3211:Systemics 3071:Spinozism 2998:Socialism 2933:Modernism 2896:Objective 2804:Anarchism 2738:Averroism 2627:Christian 2579:Neotaoism 2550:Zurvanism 2540:Mithraism 2535:Mazdakism 2306:Cyrenaics 2233:Logicians 1866:Free will 1828:Solipsism 1775:Formalism 1575:Fallacies 1570:Paradoxes 1560:Logicians 1494:Statement 1489:Reference 1454:Induction 1417:Deduction 1380:Abduction 1350:Metalogic 1297:Classical 1261:Inference 1089:170636654 1024:whatever. 973:170771596 616:Actualist 512:Advocates 425:Paradoxes 303:Aristotle 298:Aristotle 288:absurdity 267:Actualist 218:↔ 171:∀ 116:Etymology 74:Aristotle 45:that all 3719:Category 3674:Yugoslav 3664:Romanian 3571:Scottish 3556:American 3485:Japanese 3465:Buddhist 3447:Africana 3437:Egyptian 3279:Feminist 3201:Rawlsian 3196:Quietism 3094:Analytic 3046:Krausism 2953:Nihilism 2918:Kokugaku 2881:Absolute 2876:Idealism 2864:Humanism 2652:Occamism 2619:European 2564:Medieval 2510:Yogacara 2470:Buddhist 2463:Syādvāda 2346:Stoicism 2311:Cynicism 2299:Sophists 2294:Atomists 2289:Eleatics 2228:Legalism 2169:Medieval 2093:Idealism 2047:Ontology 2027:Nihilism 1931:Idealism 1689:Branches 1678:Branches 1609:Category 1509:Validity 1410:Antinomy 1338:Theories 1302:Informal 749:Elsevier 695:Syādvāda 685:Fatalism 648:See also 629:nihilism 460:ataraxia 362:is true 111:Overview 3669:Russian 3638:Spanish 3633:Slovene 3623:Maltese 3618:Italian 3598:Finland 3566:British 3548:Western 3538:Turkish 3523:Islamic 3518:Iranian 3470:Chinese 3457:Eastern 3424:African 3371:more... 3056:Marxism 2886:British 2829:Dualism 2725:Islamic 2683:Advaita 2673:Vedanta 2647:Scotism 2642:Thomism 2584:Tiantai 2527:Persian 2515:Tibetan 2505:Śūnyatā 2446:Cārvāka 2436:Ājīvika 2431:Mīmāṃsā 2411:Samkhya 2326:Academy 2279:Ionians 2253:Yangism 2210:Chinese 2201:Ancient 2164:Western 2159:Ancient 2118:Realism 2075:Reality 2065:Process 1946:Realism 1926:Dualism 1921:Atomism 1803:Fideism 1624:changes 1616: ( 1474:Premise 1405:Paradox 1235:History 1230:Outline 1069:Inquiry 560:trivial 543:Azzouni 139:freemen 134:trivium 41:is the 3628:Polish 3608:German 3603:French 3588:Danish 3578:Canada 3528:Jewish 3490:Korean 3475:Indian 3017:People 2938:Monism 2891:German 2859:Holism 2792:Modern 2770:Jewish 2693:Dvaita 2666:Indian 2589:Huayan 2441:Ajñana 2398:Indian 2263:Greco- 2248:Taoism 2238:Mohism 2184:Modern 2151:By era 2140:By era 2055:Action 1936:Monism 1856:Virtue 1838:Ethics 1526:topics 1312:Reason 1290:Logics 1281:Syntax 1158:  1127:21 May 1087:  971:  934:  879:20 May 793:  755:  710:Monism 614:(AT0) 393:, and 320:Priest 153:Theory 53:) are 3659:Aztec 3613:Greek 3593:Dutch 3583:Czech 3432:Bantu 2869:Anti- 2416:Nyaya 2406:Hindu 2266:Roman 2060:Event 1702:Logic 1553:other 1518:Lists 1504:Truth 1271:Proof 1219:Logic 1085:S2CID 969:S2CID 401:that 382:that 265:(T2) 198:(∀). 143:logic 141:. 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Index

Triviality (mathematics)

symbolic logic
logical theory
statements
propositions
true
contradictions
classical logic
Aristotle
law of noncontradiction
philosophy
skepticism
Paraconsistent logics
true contradictions
modal realism
dialetheism
Latin
trivium
freemen
logic
phenomenon
symbolic logic
universal quantification
truth predicate
if and only if
possible worlds
Actualist
principle of explosion
absurdity

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