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Ideas for 'works', 'The Nature of Mathematics' and 'Definitions'

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5. Theory of Logic / C. Ontology of Logic / 3. If-Thenism

14783	Logic, unlike mathematics, is not hypothetical; it asserts categorical ends from hypothetical means [Peirce]
	Full Idea: Mathematics is purely hypothetical: it produces nothing but conditional propositions. Logic, on the contrary, is categorical in its assertions. True, it is a normative science, and not a mere discovery of what really is. It discovers ends from means.
	From: Charles Sanders Peirce (The Nature of Mathematics [1898], II)

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.