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Single Idea 4719
[filed under theme 10. Modality / D. Knowledge of Modality / 1. A Priori Necessary
]
Full Idea
A weaker form of relativism holds that developments in logic, in maths and in geometry have shown how a relativised notion of the a priori is possible.
Gist of Idea
Maybe developments in logic and geometry have shown that the a priori may be relative
Source
Paul O'Grady (Relativism [2002], Ch.4)
Book Ref
O'Grady,Paul: 'Relativism' [Acumen 2002], p.90
A Reaction
This is non-Euclidean geometry, and multiple formalisations of logic. Personally I don't believe it. You can expand these subjects, and pursue whimsical speculations, but I have faith in their stable natural core. Neo-Platonism.
The
22 ideas
with the same theme
[knowing what must be, just through thought]:
2301
|
We know by thought that what is done cannot be undone
[Descartes]
|
12553
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Some of our ideas contain relations which we cannot conceive to be absent
[Locke]
|
2112
|
Truths of reason are known by analysis, and are necessary; facts are contingent, and their opposites possible
[Leibniz]
|
17079
|
Proofs of necessity come from the understanding, where they have their source
[Leibniz]
|
19432
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Intelligible truth is independent of any external things or experiences
[Leibniz]
|
23461
|
Kant thought worldly necessities are revealed by what maths needs to make sense
[Kant, by Morris,M]
|
14710
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Necessity is always knowable a priori, and what is known a priori is always necessary
[Kant, by Schroeter]
|
16256
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For Kant metaphysics must be necessary, so a priori, so can't be justified by experience
[Kant, by Maudlin]
|
5524
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Maths must be a priori because it is necessary, and that cannot be derived from experience
[Kant]
|
23495
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The tautologies of logic show the logic of language and the world
[Wittgenstein]
|
9169
|
A statement can be metaphysically necessary and epistemologically contingent
[Putnam]
|
15101
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Once you give up necessity as a priori, causal necessity becomes the main type of necessity
[Shoemaker]
|
4728
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Kripke separates necessary and a priori, proposing necessary a posteriori and contingent a priori examples
[Kripke, by O'Grady]
|
16990
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A priori = Necessary because we imagine all worlds, and we know without looking at actuality?
[Kripke]
|
15228
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Necessity and contingency are separate from the a priori and the a posteriori
[Harré/Madden]
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2526
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Philosophers regularly confuse failures of imagination with insights into necessity
[Dennett]
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12428
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Many necessities are inexpressible, and unknowable a priori
[Kitcher]
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20476
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If the necessary is a priori, so is the contingent, because the same evidence is involved
[Casullo]
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13956
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Kripke is often taken to be challenging a priori insights into necessity
[Chalmers]
|
9598
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Modal thinking isn't a special intuition; it is part of ordinary counterfactual thinking
[Williamson]
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21621
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We can't infer metaphysical necessities to be a priori knowable - or indeed knowable in any way
[Williamson]
|
4719
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Maybe developments in logic and geometry have shown that the a priori may be relative
[O'Grady]
|