Combining Texts

All the ideas for 'Grounding, Transitivity and Contrastivity', 'The Quest for Certainty' and 'On the Nature of Mathematical Reasoning'

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7 ideas

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / d. Actual infinite

15923

Poincaré rejected the actual infinite, claiming definitions gave apparent infinity to finite objects [Poincaré, by Lavine]

7. Existence / C. Structure of Existence / 1. Grounding / a. Nature of grounding

17306

If ground is transitive and irreflexive, it has a strict partial ordering, giving structure [Schaffer,J]

17304

As causation links across time, grounding links the world across levels [Schaffer,J]

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

21516

We want certainty in order achieve secure results for action [Dewey]

14. Science / D. Explanation / 2. Types of Explanation / b. Contrastive explanations

17308

Explaining 'Adam ate the apple' depends on emphasis, and thus implies a contrast [Schaffer,J]

26. Natural Theory / A. Speculations on Nature / 1. Nature

17305

I take what is fundamental to be the whole spatiotemporal manifold and its fields [Schaffer,J]

26. Natural Theory / C. Causation / 1. Causation

17307

Nowadays causation is usually understood in terms of equations and variable ranges [Schaffer,J]