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Ideas for 'After Finitude', 'The Nature of Mathematics' and 'Philosophy without Intuitions'

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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)