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Ideas for 'works', 'On Euclidean Geometry' and 'What is so bad about Contradictions?'

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5. Theory of Logic / E. Structures of Logic / 1. Logical Form

4730	For Aristotle, the subject-predicate structure of Greek reflected a substance-accident structure of reality [Aristotle, by O'Grady]
	Full Idea: Aristotle apparently believed that the subject-predicate structure of Greek reflected the substance-accident nature of reality.
	From: report of Aristotle (works [c.330 BCE]) by Paul O'Grady - Relativism Ch.4
	A reaction: We need not assume that Aristotle is wrong. It is a chicken-and-egg. There is something obvious about subject-predicate language, if one assumes that unified objects are part of nature, and not just conventional.

5. Theory of Logic / K. Features of Logics / 1. Axiomatisation

16886	The truth of an axiom must be independently recognisable [Frege]
	Full Idea: It is part of the concept of an axiom that it can be recognised as true independently of other truths.
	From: Gottlob Frege (On Euclidean Geometry [1900], 183/168), quoted by Tyler Burge - Frege on Knowing the Foundations 4
	A reaction: Frege thinks the axioms of arithmetic all reside in logic.