Combining Texts

All the ideas for 'Precis of 'Limits of Abstraction'', 'The Logic of Infinity' and 'Evidentialism'

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7 ideas

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]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / d. Predicativism
18203 Avoid non-predicative classifications and definitions [Poincaré]
11. Knowledge Aims / A. Knowledge / 4. Belief / c. Aim of beliefs
19525 If the only aim is to believe truths, that justifies recklessly believing what is unsupported (if it is right) [Conee/Feldman]
13. Knowledge Criteria / A. Justification Problems / 2. Justification Challenges / c. Knowledge closure
19524 We don't have the capacity to know all the logical consequences of our beliefs [Conee/Feldman]
18. Thought / E. Abstraction / 7. Abstracta by Equivalence
10527 An abstraction principle should not 'inflate', producing more abstractions than objects [Fine,K]