Combining Texts

All the ideas for 'Grounding, Transitivity and Contrastivity', 'Cours d'Analyse' and 'Relations'

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10 ideas

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / k. Infinitesimals
18085 Values that approach zero, becoming less than any quantity, are 'infinitesimals' [Cauchy]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / l. Limits
18084 When successive variable values approach a fixed value, that is its 'limit' [Cauchy]
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]
8. Modes of Existence / A. Relations / 1. Nature of Relations
21354 It may be that internal relations like proportion exist, because we directly perceive it [MacBride]
8. Modes of Existence / A. Relations / 2. Internal Relations
21353 Internal relations are fixed by existences, or characters, or supervenience on characters [MacBride]
8. Modes of Existence / A. Relations / 4. Formal Relations / a. Types of relation
21352 'Multigrade' relations are those lacking a fixed number of relata [MacBride]
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]