Kant's claim that space and time are subjective forms of intuition is presented as a necessary, universal truth—precisely the kind of synthetic a priori claim his critics argue cannot be grounded without illegitimate metaphysical commitments.
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a priori(Frege treats 'analytic' as entailing 'a priori' for arithmetic.)
Knowable independently of empirical experience; here treated as a consequence of analyticity.
forms of intuition(Kantian account of how synthetic a priori propositions achieve necessary truth)
The cognitive structures of space and time that the mind imposes on representations, rather than deriving from things as they are in themselves.
metaphysical(Ayer's Logical Positivist usage)
Language that purports to refer beyond the physical world and lacks empirical consequences, which Ayer classifies as not literally significant
space and time(Leibniz's mature metaphysics)
Beings of reason understood as abstractions or idealizations with respect to relations between bodies and events; determinate, fixed, and ideal.
synthetic a priori(Kant's Critique of Pure Reason; Euclidean geometry is offered as a primary example)
A class of statements that are both independent of experience and non-tautological, combining the necessity of a priori knowledge with the informativeness of synthetic judgment