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Single Idea 9155
[filed under theme 12. Knowledge Sources / A. A Priori Knowledge / 4. A Priori as Necessities
]
Full Idea
An a priori proof is a proof independent of experience.
Gist of Idea
An a priori proof is independent of experience
Source
Gottfried Leibniz (Primary Truths [1686])
Book Ref
Leibniz,Gottfried: 'Philosophical Essays', ed/tr. Arlew,R /Garber,D [Hackett 1989], p.31
A Reaction
Burge says Leibniz gave the first modern account of a priori knowledge. There may be no explicit reference to experience involved, but it would beg many questions to deny that implicit experience may be at the root of the proof.
The
19 ideas
with the same theme
[a priori knowledge is an insight into necessary truths]:
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2279
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A triangle has a separate non-invented nature, shown by my ability to prove facts about it
[Descartes]
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2602
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What experience could prove 'If a=c and b=c then a=b'?
[Descartes]
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5012
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'Nothing comes from nothing' is an eternal truth found within the mind
[Descartes]
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9344
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Mathematical analysis ends in primitive principles, which cannot be and need not be demonstrated
[Leibniz]
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9155
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An a priori proof is independent of experience
[Leibniz]
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5404
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Two plus two objects make four objects even if experience is impossible, so Kant is wrong
[Russell on Kant]
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9345
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Propositions involving necessity are a priori, and pure a priori if they only derive from other necessities
[Kant]
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16893
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The apriori is independent of its sources, and marked by necessity and generality
[Kant, by Burge]
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9347
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A priori knowledge is indispensable for the possibility and certainty of experience
[Kant]
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9352
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An a priori truth is one derived from general laws which do not require proof
[Frege]
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16889
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A truth is a priori if it can be proved entirely from general unproven laws
[Frege]
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16894
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An apriori truth is grounded in generality, which is universal quantification
[Frege, by Burge]
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5397
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The rationalists were right, because we know logical principles without experience
[Russell]
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5198
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We could verify 'a thing can't be in two places at once' by destroying one of the things
[Ierubino on Ayer]
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9354
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Why should necessities only be knowable a priori? That Hesperus is Phosporus is known empirically
[Devitt]
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19565
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How could the mind have a link to the necessary character of reality?
[Devitt]
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20472
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Analysis of the a priori by necessity or analyticity addresses the proposition, not the justification
[Casullo]
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14712
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A sentence is a priori if no possible way the world might actually be could make it false
[Chalmers]
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9369
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'Snow is white or it isn't' is just true, not made true by stipulation
[Boghossian]
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