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Ideas for 'Thinking About Mathematics', 'Frege on Apriority (with ps)' and 'How the Laws of Physics Lie'

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2 ideas

12. Knowledge Sources / A. A Priori Knowledge / 1. Nature of the A Priori

16892	Is apriority predicated mainly of truths and proofs, or of human cognition? [Burge]
	Full Idea: Whereas Leibniz and Frege predicate apriority primarily of truths (or more fundamentally, proofs of truths), Kant predicates apriority primarily of cognition and the employment of representations.
	From: Tyler Burge (Frege on Apriority (with ps) [2000], 1)

12. Knowledge Sources / C. Rationalism / 1. Rationalism

8725	Rationalism tries to apply mathematical methodology to all of knowledge [Shapiro]
	Full Idea: Rationalism is a long-standing school that can be characterized as an attempt to extend the perceived methodology of mathematics to all of knowledge.
	From: Stewart Shapiro (Thinking About Mathematics [2000], 1.1)
	A reaction: Sometimes called 'Descartes's Dream', or the 'Enlightenment Project', the dream of proving everything. Within maths, Hilbert's Programme aimed for the same certainty. Idea 22 is the motto for the opposition to this approach.