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10. Modality / D. Knowledge of Modality / 1. A Priori Necessary

[knowing what must be, just through thought]

19 ideas
We know by thought that what is done cannot be undone [Descartes]
Some of our ideas contain relations which we cannot conceive to be absent [Locke]
Truths of reason are known by analysis, and are necessary; facts are contingent, and their opposites possible [Leibniz]
Proofs of necessity come from the understanding, where they have their source [Leibniz]
Intelligible truth is independent of any external things or experiences [Leibniz]
Necessity is always knowable a priori, and what is known a priori is always necessary [Schroeter on Kant]
For Kant metaphysics must be necessary, so a priori, so can't be justified by experience [Maudlin on Kant]
Maths must be a priori because it is necessary, and that cannot be derived from experience [Kant]
A statement can be metaphysically necessary and epistemologically contingent [Putnam]
Once you give up necessity as a priori, causal necessity becomes the main type of necessity [Shoemaker]
Kripke separates necessary and a priori, proposing necessary a posteriori and contingent a priori examples [O'Grady on Kripke]
A priori = Necessary because we imagine all worlds, and we know without looking at actuality? [Kripke]
Necessity and contingency are separate from the a priori and the a posteriori [Harré/Madden]
Philosophers regularly confuse failures of imagination with insights into necessity [Dennett]
Knowing our own existence is a priori, but not necessary [Kitcher]
Many necessities are inexpressible, and unknowable a priori [Kitcher]
Kripke is often taken to be challenging a priori insights into necessity [Chalmers]
Modal thinking isn't a special intuition; it is part of ordinary counterfactual thinking [Williamson]
Maybe developments in logic and geometry have shown that the a priori may be relative [O'Grady]