Combining Texts

All the ideas for 'works', 'Precepts for Advancing Science and Arts' and 'Mathematics without Numbers'

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5 ideas

4. Formal Logic / E. Nonclassical Logics / 5. Relevant Logic

8720	A logic is 'relevant' if premise and conclusion are connected, and 'paraconsistent' allows contradictions [Priest,G, by Friend]

6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / c. Nominalist structuralism

8698	Modal structuralism says mathematics studies possible structures, which may or may not be actualised [Hellman, by Friend]

9557	Statements of pure mathematics are elliptical for a sort of modal conditional [Hellman, by Chihara]

10263

Modal structuralism can only judge possibility by 'possible' models [Shapiro on Hellman]

13. Knowledge Criteria / D. Scepticism / 6. Scepticism Critique

19392

I don't recommend universal doubt; we constantly seek reasons for things which are indubitable [Leibniz]