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Ideas for 'works', 'Monadology' and 'Principles of Theoretical Logic'

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2 ideas

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

11239	The notion of a priori truth is absent in Aristotle [Aristotle, by Politis]
	Full Idea: The notion of a priori truth is conspicuously absent in Aristotle.
	From: report of Aristotle (works [c.330 BCE]) by Vassilis Politis - Aristotle and the Metaphysics 1.5
	A reaction: Cf. Idea 11240.

12. Knowledge Sources / A. A Priori Knowledge / 4. A Priori as Necessities

9344	Mathematical analysis ends in primitive principles, which cannot be and need not be demonstrated [Leibniz]
	Full Idea: At the end of the analytical method in mathematics there are simple ideas of which no definition can be given. Moreover there are axioms and postulates, in short, primitive principles, which cannot be demonstrated and do not need demonstration.
	From: Gottfried Leibniz (Monadology [1716], §35)
	A reaction: My view is that we do not know such principles when we apprehend them in isolation. I would call them 'intuitions'. They only ascend to the status of knowledge when the mathematics is extended and derived from them, and found to work.