Combining Texts

All the ideas for 'The Architecture of Mathematics', 'Modal Realism at Work: Properties' and 'Tonk, Plonk and Plink'

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

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3 ideas

6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism

10190

From the axiomatic point of view, mathematics is a storehouse of abstract structures [Bourbaki]

8. Modes of Existence / B. Properties / 11. Properties as Sets

4038	Properties are sets of their possible instances (which separates 'renate' from 'cordate') [Lewis, by Mellor/Oliver]

14. Science / D. Explanation / 2. Types of Explanation / a. Types of explanation

17897

Analytic explanation is wholes in terms of parts; synthetic is parts in terms of wholes or contexts [Belnap]