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Ideas for 'works', 'The Theodicy' and 'The Tarskian Turn'

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2 ideas

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 / E. Structures of Logic / 8. Theories in Logic

15328	A theory is 'non-conservative' if it facilitates new mathematical proofs [Horsten]
	Full Idea: A theory is 'non-conservative' if it allows us to prove mathematical facts that go beyond what the background mathematical theory can prove on its own.
	From: Leon Horsten (The Tarskian Turn [2011], 01.4)
	A reaction: This is an instance of the relationship with mathematics being used as the test case for explorations of logic. It is a standard research method, because it is so precise, but should not be mistaken for the last word about a theory.