PHL210Y1 Lecture Notes - Lecture 9: Numerical Cognition, Apodicticity, Presupposition
Document Summary
Space and time: pure intuitions at foundation of mathematical cognition. Actual and possible: transcendental problem of the prolegomena, metaphysical judgments are synthetic. Math: unique feature is that its concepts are constructed with pure intuition, pure intuition is necessary for math to be possible, pure- contains nothing but form of sensibility (not matter)- determining how things appear to you. Two faculties: concepts/intuition, active and passive: don"t just receive representations, also have capacity to use cognition, cognition, understanding: active. Intuition/concepts: pure or empirical: empirical if containing sensation, pure is no sensation is mixed with representation, pure intuition. Sensation: matter of sensibly cognition (distinction between empirical and pure) Link between a priori and pure: pure natural science will be a priori. Every event is determined by a cause according to constant laws. - two a priori principles of natural science: known independent of experience, genuinely informative, precedes all physics.
