Combining Texts

All the ideas for 'True Method in Philosophy and Theology', 'Mathematics without Numbers' and 'Rules for the Direction of the Mind'

expand these ideas     |    start again     |     specify just one area for these texts

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5 ideas

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]

7. Existence / A. Nature of Existence / 6. Criterion for Existence

19393

What is not active is nothing [Leibniz]

11. Knowledge Aims / B. Certain Knowledge / 1. Certainty

9807	In pursuing truth, anything less certain than mathematics is a waste of time [Descartes]