Combining Texts

All the ideas for 'Precis of 'Limits of Abstraction'', 'Intro to Oxford Hndbk of Metaphysics' and 'The Foundations of Mathematics (2nd ed)'

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6 ideas

1. Philosophy / E. Nature of Metaphysics / 6. Metaphysics as Conceptual

9217	Modern empirical metaphysics focuses on ontological commitments of discourse, or on presuppositions [Loux/Zimmerman]

2. Reason / D. Definition / 2. Aims of Definition

10528

Definitions concern how we should speak, not how things are [Fine,K]

6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / d. Hume's Principle

10529

If Hume's Principle can define numbers, we needn't worry about its truth [Fine,K]

10530

Hume's Principle is either adequate for number but fails to define properly, or vice versa [Fine,K]

8. Modes of Existence / A. Relations / 4. Formal Relations / b. Equivalence relation

18465

An 'equivalence' relation is one which is reflexive, symmetric and transitive [Kunen]

18. Thought / E. Abstraction / 7. Abstracta by Equivalence

10527

An abstraction principle should not 'inflate', producing more abstractions than objects [Fine,K]