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Principle of sufficient reason

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all is equal and alike on both sides.....Neither the parts of the universe nor the viscera of the animal are alike nor are they evenly placed on both sides of this vertical plane. There will therefore always be many things in the ass and outside the ass, although they be not apparent to us, which will determine him to go on one side rather than the other. And although man is free, and the ass is not, nevertheless for the same reason it must be true that in man likewise the case of a perfect equipoise between two courses is impossible. (
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absolutely differ in any respect whatsoever from another point of space. Now from hence it follows, (supposing space to be something in itself, beside the order of bodies among themselves,) that 'tis impossible that there should be a reason why God, preserving the same situation of bodies among themselves, should have placed them in space after one particular manner, and not otherwise; why everything was not placed the quite contrary way, for instance, by changing East into West.
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of an hypothetical syllogism, that, – If the condition or antecedent be affirmed, so also must be the conditioned or consequent, and that if the conditioned or consequent be denied, so likewise must be the condition or antecedent. But this is manifestly nothing else than the law of Sufficient Reason, or of Reason and Consequent." The principle of this syllogism is thus variously enounced:
342:): "Necessary truths are those that can be demonstrated through an analysis of terms, so that in the end they become identities, just as in Algebra an equation expressing an identity ultimately results from the substitution of values . That is, necessary truths depend upon the principle of contradiction." The sufficient reason for a necessary truth is that its negation is a contradiction. 475:: The logical significance of the law of Reason and Consequent lies in this, – That in virtue of it, thought is constituted into a series of acts all indissolubly connected; each necessarily inferring the other. Thus it is that the distinction and opposition of possible, actual and necessary matter, which has been introduced into Logic, is a doctrine wholly extraneous to this science." 358:
In contingent truths, even though the predicate is in the subject, this can never be demonstrated, nor can a proposition ever be reduced to an equality or to an identity, but the resolution proceeds to infinity, God alone seeing, not the end of the resolution, of course, which does not exist, but the
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From Hamilton 1860:241–242: “2°, "If the essential nature of an Hypothetical Syllogism consist in this, – that the subsumption affirms or denies one or other of the two parts of a thought, standing to each other in the relation of the thing conditioning and the thing conditioned, it will be the law
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Third Form: The Principle of Sufficient Reason of Being (principium rationis sufficientis essendi); the law whereby the parts of space and time determine one another as regards those relations. Example in arithmetic: Each number presupposes the preceding numbers as grounds or reasons of its being;
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Leibniz admitted contingent truths, that is, facts in the world that are not necessarily true, but that are nonetheless true. Even these contingent truths, according to Leibniz, can only exist on the basis of sufficient reasons. Since the sufficient reasons for contingent truths are largely unknown
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Our reasonings are grounded upon two great principles, that of contradiction, in virtue of which we judge false that which involves a contradiction, and true that which is opposed or contradictory to the false; And that of sufficient reason, in virtue of which we hold that there can be no fact real
515:"Now just as the subjective correlative to the first class of representations is the understanding, that to the second the faculty of reason, and that to the third pure sensibility, so is the subjective correlative to this fourth class found to be the inner sense, or generally self-consciousness." 375:
In consequence of this, the case also of Buridan's ass between two meadows, impelled equally towards both of them, is a fiction that cannot occur in the universe....For the universe cannot be halved by a plane drawn through the middle of the ass, which is cut vertically through its length, so that
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Fourth Form: The Principle of Sufficient Reason of Acting (principium rationis sufficientis agendi); briefly known as the law of motivation. "Any judgment that does not follow its previously existing ground or reason" or any state that cannot be explained away as falling under the three previous
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XVII. The thinking of an object, as actually characterized by positive or by negative attributes, is not left to the caprice of Understanding – the faculty of thought; but that faculty must be necessitated to this or that determinate act of thinking by a knowledge of something different from, and
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I say then, that if space is an absolute being, there would be something for which it would be impossible there should be a sufficient reason. Which is against my axiom. And I prove it thus. Space is something absolutely uniform; and without the things placed in it, one point in space does not
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from the set axioms at the base of the construction (i.e., that they ensue necessarily if we assume the system's axioms to be true). However, Gödel has shown that for every sufficiently expressive deductive system a proposition exists that can neither be proved nor disproved (see
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From the Preface: "The Lectures on Logic, like those on Metaphysics, were chiefly composed during, the session in which they were first delivered (1837–8)." The lectures were assembled, with added footnotes marked by "—ED." by Mansel and Veitch and published in
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Second Form: The Principle of Sufficient Reason of Knowing (principium rationis sufficientis cognoscendi); asserts that if a judgment is to express a piece of knowledge, it must have a sufficient ground or reason, in which case it receives the predicate true.
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within a logic construction like a mathematical or a physical theory, because axioms are propositions accepted as having no justification possible within the system. The principle declares that all propositions considered to be true within a system should be
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From Hamilton 1860:67 "In modern times, the attention of philosophers was called to this law of Leibnitz, who, on the two principles of Reason and of Contradiction, founded the whole edifice of his philosophy. See Théodicée, § 44.
468:, where there is no consequent (either implicitly or explicitly) there can be no reason. That is, the concepts of reason and of consequent, as reciprocally relative, involve and suppose each other. 271:
for like many philosophers of the period, Leibniz did not carefully distinguish between the two. The resulting principle is very different, however, depending on which interpretation is given (see
511:"I can reach ten only by going through all the preceding numbers; and only by virtue of this insight into the ground of being, do I know that where there are ten, so are there eight, six, four." 256: 272: 853:. Esser, Logik, I 91, p. 174. — ED. See Kant, Logik §§ 75 – 76 . Krug, Logik, § 82. — ED." See in particular Hamilton's discussion that leads to this quote starting at page 239ff. 496: 485: 326:
or existing, no statement true, unless there be a sufficient reason, why it should be so and not otherwise, although these reasons usually cannot be known by us (
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First Form: The Principle of Sufficient Reason of Becoming (principium rationis sufficientis fiendi); appears as the law of causality in the understanding.
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Arthur Schopenhauer, On The Fourfold Root of the Principle of Sufficient Reason, page 212, S 42, trans. E. Payne, (Open Court Publishing Company, 1997), 8.
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A sufficient reason is sometimes described as the coincidence of every single thing that is needed for the occurrence of an effect (i.e. of the so-called
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independent of; the process of thinking itself. This condition of our understanding is expressed by the law, as it is called, of Sufficient Reason (
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Arthur Schopenhauer, On The Fourfold Root of the Principle of Sufficient Reason, S 43, trans. E. Payne, (Open Court Publishing Company, 1997), 10.
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Arthur Schopenhauer, On The Fourfold Root of the Principle of Sufficient Reason, S 43, trans. E. Payne, (Open Court Publishing Company, 1997), 9.
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Arthur Schopenhauer, On The Fourfold Root of the Principle of Sufficient Reason, S 38, trans. E. Payne, (Open Court Publishing Company, 1997), 7.
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Arthur Schopenhauer, On The Fourfold Root of the Principle of Sufficient Reason, S 36, trans. E. Payne, (Open Court Publishing Company, 1997), 6.
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Arthur Schopenhauer, On The Fourfold Root of the Principle of Sufficient Reason, S 29, trans. E. Payne, (Open Court Publishing Company, 1997), 5.
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Arthur Schopenhauer, On The Fourfold Root of the Principle of Sufficient Reason, S 20, trans. E. Payne, (Open Court Publishing Company, 1997), 4.
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elaborated the principle, and used it as the foundation of his system. Some philosophers have associated the principle of sufficient reason with
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headings "must be produced by an act of will which has a motive." As his proposition in 43 states, "Motivation is causality seen from within."
59:. Leibniz formulated it, but was not an originator. The idea was conceived of and utilized by various philosophers who preceded him, including 327: 311:
identified two kinds of truth, necessary and contingent truths. And he claimed that all truths are based upon two principles: (1)
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connection of the terms or the containment of the predicate in the subject, since he sees whatever is in the series.
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Alexander R. Pruss (2007) "Ex Nihilo Nihil Fit: Augments New and Old for the Principle of Sufficient Reason" in
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The principle has a variety of expressions, all of which are perhaps best summarized by the following:
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Without this qualification, the principle can be seen as a description of a certain notion of
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When a reason is explicitly or implicitly given, then there must exist a consequent; and,
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a ratione ad rationatum, a negatione rationati ad negationem rationis, valet consequentia
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It is an open question whether the principle of sufficient reason can be applied to
1239: 1228: 1080: 606: 447:. This law is expressed in the formula – Infer nothing without a ground or reason. 368: 548:
in general) in the 18th and 19th centuries. It was influential in the thinking of
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Richardson, Kara (June 2014). "Avicenna and the Principle of Sufficient Reason".
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Posita conditione, ponitur conditionatum, sublato conditionato, tlitur conditio
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Leibniz also used the principle of sufficient reason to refute the idea of
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From the index: "SCHULZE, G. E., KRUG, W. T." These are philosophers
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with the "Law of Sufficient Reason, or of Reason and Consequent" and
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The modern formulation of the principle is usually ascribed to early
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Quaestiones de libertate et necessitate, contra Doctorem Bramhallum
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Lectures on Metaphysics and Logic, in Two Volumes. Vol. II. Logic
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Par. XVII. Law of Sufficient Reason, or of Reason and Consequent
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Hamilton's fourth law: "Infer nothing without ground or reason"
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A sufficient explanation may be understood either in terms of
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The Greek Achievement: The Foundation of the Western World
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On the Fourfold Root of the Principle of Sufficient Reason
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On the Fourfold Root of the Principle of Sufficient Reason
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Where there is no reason there can be no consequent; and,
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is true, then there is a sufficient explanation for why
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occurs, then there is a sufficient explanation for why
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exists, then there is a sufficient explanation for why
31:. The principle was articulated and made prominent by 741:. Metaphysics Research Lab, Stanford University. 2020. 220: 906: 500:, there are four distinct forms of the principle. 251:{\displaystyle \forall P\exists Q(Q\rightarrow P)} 250: 1397: 109:cosmological argument for the existence of God 1145: 1131: 528:The principle was one of the four recognised 105:ontological argument for the existence of God 865:"Leibniz on Necessary and Contingent Truths" 812:Explication Topic in Contemporary Philosophy 750: 748: 552:, amongst others, in the elevated form that 479: 785: 127: 1138: 1124: 885:Ariew, Roger; Daniel Garber, eds. (1989). 766: 904: 745: 686: 684: 334:Necessary truths can be derived from the 937:(23 August 1761 – 14 January 1833) and 823:Hamilton attributes this expression to 707: 451:Relations between Reason and Consequent 1398: 1037: 690:See chapter on Leibniz and Spinoza in 681: 523: 122:Notably, the post-Kantian philosopher 1119: 1074: 790:. New York: Routledge. pp. 8–9. 473:The logical significance of this law 429:principium Rationis et Consecutionis 315:, and (2) sufficient reason. In the 111:. The principle can be seen in both 1108:Internet Encyclopedia of Philosophy 1049:Stanford Encyclopedia of Philosophy 913:. New York, N.Y.: Barnes and Noble. 887:G. W. Leibniz: Philosophical Essays 107:. A clearer connection is with the 23:states that everything must have a 13: 1077:The Principle of Sufficient Reason 346:to humans, Leibniz made appeal to 298: 273:Payne's summary of Schopenhauer's 227: 221: 101:quia Deus nihil sine ratione facit 14: 1442: 1339:New Essays on Human Understanding 1280:Transcendental law of homogeneity 1057:Sir William Hamilton, 9th Baronet 1031: 1017:, 7. Quoted in: A. Schopenhauer, 941:(22 June 1770 – 12 January 1842). 909:The Leibniz-Clarke Correspondence 862: 582:Deterministic system (philosophy) 445:logical connection or consequence 303: 140:identified the laws of inference 1382: 1381: 1103:"Gottfried Leibniz: Metaphysics" 1040:"Principle of Sufficient Reason" 602:Principle of insufficient reason 532:, that held a place in European 425:principium Rationis Sufficientis 16:Everything has a cause; an axiom 1038:Melamed, Yitzhak; Lin, Martin. 1007: 998: 989: 980: 971: 962: 953: 944: 927: 917: 898: 878: 856: 830: 639: 413:I now go on to the fourth law. 293:Gödel's incompleteness theorems 817: 804: 779: 760: 738:Principle of Sufficient Reason 701: 667: 340:principle of non-contradiction 245: 239: 233: 157: 21:principle of sufficient reason 1: 1368:Leibniz–Clarke correspondence 786:Della Rocca, Michael (2008). 660: 350:sufficient reasons, to which 95:. One often pointed to is in 1075:Pruss, Alexander R. (2006). 1071:, Boston: Gould and Lincoln. 7: 1188:Characteristica universalis 1170:Best of all possible worlds 712:. Allen Lane. p. 152. 570: 10: 1447: 1209:Identity of indiscernibles 1019:On the Freedom of the Will 597:Nothing comes from nothing 592:Identity of indiscernibles 483: 134:Nothing comes from nothing 46: 1426:Gottfried Wilhelm Leibniz 1379: 1310: 1153: 1147:Gottfried Wilhelm Leibniz 769:The Review of Metaphysics 708:Freeman, Charles (1999). 627:Necessity and sufficiency 556:could not be accepted as 480:Schopenhauer's Four Forms 33:Gottfried Wilhelm Leibniz 1416:Concepts in epistemology 1329:Discourse on Metaphysics 1085:10.1017/CBO9780511498992 905:Alexander, H.G. (1956). 889:. Indianapolis: Hackett. 696:The Great Chain of Being 632: 1431:Metaphysical principles 1302:Well-founded phenomenon 1253:Pre-established harmony 1165:Alternating series test 544:(and, to some extent, 517: 477: 433:logical reason ground, 398: 385: 361: 332: 252: 196:For every proposition 128: 1181:Calculus ratiocinator 939:Wilhelm Traugott Krug 935:Gottlob Ernst Schulze 612:Dependent origination 513: 411: 393: 373: 356: 354:uniquely has access: 323: 253: 1319:De Arte Combinatoria 1247:Mathesis universalis 1175:Calculus controversy 1013:See e.g. T. Hobbes, 617:MĂĽnchhausen trilemma 565:necessary conditions 328:paragraphs 31 and 32 218: 97:Anselm of Canterbury 1406:Arthur Schopenhauer 849:, the other of the 827:; Hamilton 1860:66. 678:, §§ 81, 82. — ED." 524:As a law of thought 129:Ex nihilo nihil fit 124:Arthur Schopenhauer 37:Arthur Schopenhauer 1234:Leibniz's notation 1021:, c. 4. See also: 441:logical consequent 248: 1421:Concepts in logic 1393: 1392: 1371:(1715–1716) 1290:Universal science 1263:Sufficient reason 1219:Law of continuity 1094:978-0-521-85959-2 841:. Or, otherwise, 649:, §19, and Krug, 313:non-contradiction 166:For every entity 117:William of Ockham 57:Gottfried Leibniz 1438: 1385: 1384: 1372: 1364: 1354: 1344: 1334: 1324: 1240:Lingua generalis 1140: 1133: 1126: 1117: 1116: 1112: 1098: 1053: 1044:Zalta, Edward N. 1025: 1011: 1005: 1002: 996: 993: 987: 984: 978: 975: 969: 966: 960: 957: 951: 948: 942: 931: 925: 921: 915: 914: 912: 902: 896: 890: 882: 876: 875: 873: 871: 860: 854: 834: 828: 821: 815: 808: 802: 801: 783: 777: 776: 764: 758: 752: 743: 742: 733: 724: 723: 705: 699: 688: 679: 671: 654: 643: 257: 255: 254: 249: 181:For every event 138:William Hamilton 131: 41:William Hamilton 1446: 1445: 1441: 1440: 1439: 1437: 1436: 1435: 1396: 1395: 1394: 1389: 1375: 1370: 1362: 1352: 1342: 1332: 1322: 1306: 1158: 1156: 1155:Mathematics and 1149: 1144: 1101: 1095: 1061:Henry L. 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Index

reason
cause
Gottfried Wilhelm Leibniz
Arthur Schopenhauer
William Hamilton
Enlightenment
Gottfried Leibniz
Anaximander
Parmenides
Archimedes
Plato
Aristotle
Cicero
Avicenna
Thomas Aquinas
Spinoza
Anselm of Canterbury
ontological argument for the existence of God
cosmological argument for the existence of God
Thomas Aquinas
William of Ockham
Arthur Schopenhauer
Nothing comes from nothing
William Hamilton
modus ponens
modus tollens
contrapositive
Payne's summary of Schopenhauer's Fourfold Root
axioms
deducible

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