Combining Philosophers

All the ideas for Anaxarchus, Geoffrey Hellman and Albert of Saxony

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10 ideas

6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
Structuralism is now common, studying relations, with no regard for what the objects might be [Hellman]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / c. Nominalist structuralism
Modal structuralism says mathematics studies possible structures, which may or may not be actualised [Hellman, by Friend]
Statements of pure mathematics are elliptical for a sort of modal conditional [Hellman, by Chihara]
Modal structuralism can only judge possibility by 'possible' models [Shapiro on Hellman]
Maybe mathematical objects only have structural roles, and no intrinsic nature [Hellman]
7. Existence / A. Nature of Existence / 2. Types of Existence
Everything that exists is either a substance or an accident [Albert of Saxony]
9. Objects / E. Objects over Time / 6. Successive Things
God could make a successive thing so that previous parts cease to exist [Albert of Saxony]
Successive entities just need parts to succeed one another, without their existence [Albert of Saxony]
13. Knowledge Criteria / D. Scepticism / 1. Scepticism
Anaxarchus said that he was not even sure that he knew nothing [Anaxarchus, by Diog. Laertius]
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / f. Ancient elements
Elements are found last in dismantling bodies, and first in generating them [Albert of Saxony]