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Single Idea 14712
[filed under theme 12. Knowledge Sources / A. A Priori Knowledge / 4. A Priori as Necessities
]
Full Idea
The Core Thesis for rationalist 2D semantics is that for any sentence S, S is apriori iff S has a necessary 1-intension. (That is, there is no possible way the world might be that, if it actually obtained, would make S false).
Gist of Idea
A sentence is a priori if no possible way the world might actually be could make it false
Source
David J.Chalmers (Epistemic Two-Dimensional Semantics [2004], p.165), quoted by Laura Schroeter - Two-Dimensional Semantics 2.3.2
Book Ref
'Stanford Online Encyclopaedia of Philosophy', ed/tr. Stanford University [plato.stanford.edu], p.24
A Reaction
[The parenthesis is by Schroeter] A '1-intension' is defined by a diagonal on a 2D semantic matrix. Chalmers defends conceivability as the guide to possibility. This is a very traditional view of the a priori, expressed in modern terms.
Related Ideas
Idea 14710
Necessity is always knowable a priori, and what is known a priori is always necessary [Kant, by Schroeter]
Idea 14704
2D semantics gives us apriori knowledge of our own meanings [Schroeter]
The
19 ideas
with the same theme
[a priori knowledge is an insight into necessary truths]:
2279
|
A triangle has a separate non-invented nature, shown by my ability to prove facts about it
[Descartes]
|
2602
|
What experience could prove 'If a=c and b=c then a=b'?
[Descartes]
|
5012
|
'Nothing comes from nothing' is an eternal truth found within the mind
[Descartes]
|
9344
|
Mathematical analysis ends in primitive principles, which cannot be and need not be demonstrated
[Leibniz]
|
9155
|
An a priori proof is independent of experience
[Leibniz]
|
5404
|
Two plus two objects make four objects even if experience is impossible, so Kant is wrong
[Russell on Kant]
|
9345
|
Propositions involving necessity are a priori, and pure a priori if they only derive from other necessities
[Kant]
|
16893
|
The apriori is independent of its sources, and marked by necessity and generality
[Kant, by Burge]
|
9347
|
A priori knowledge is indispensable for the possibility and certainty of experience
[Kant]
|
9352
|
An a priori truth is one derived from general laws which do not require proof
[Frege]
|
16889
|
A truth is a priori if it can be proved entirely from general unproven laws
[Frege]
|
16894
|
An apriori truth is grounded in generality, which is universal quantification
[Frege, by Burge]
|
5397
|
The rationalists were right, because we know logical principles without experience
[Russell]
|
5198
|
We could verify 'a thing can't be in two places at once' by destroying one of the things
[Ierubino on Ayer]
|
9354
|
Why should necessities only be knowable a priori? That Hesperus is Phosporus is known empirically
[Devitt]
|
19565
|
How could the mind have a link to the necessary character of reality?
[Devitt]
|
20472
|
Analysis of the a priori by necessity or analyticity addresses the proposition, not the justification
[Casullo]
|
14712
|
A sentence is a priori if no possible way the world might actually be could make it false
[Chalmers]
|
9369
|
'Snow is white or it isn't' is just true, not made true by stipulation
[Boghossian]
|