Combining Texts

All the ideas for 'Precis of 'Limits of Abstraction'', 'Contextualism Contested (and reply)' and 'Paradox without Self-Reference'

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8 ideas

2. Reason / D. Definition / 2. Aims of Definition
Definitions concern how we should speak, not how things are [Fine,K]
5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / a. The Liar paradox
An infinite series of sentences asserting falsehood produces the paradox without self-reference [Yablo, by Sorensen]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / d. Hume's Principle
If Hume's Principle can define numbers, we needn't worry about its truth [Fine,K]
Hume's Principle is either adequate for number but fails to define properly, or vice versa [Fine,K]
13. Knowledge Criteria / C. External Justification / 6. Contextual Justification / a. Contextualism
People begin to doubt whether they 'know' when the answer becomes more significant [Conee]
13. Knowledge Criteria / C. External Justification / 6. Contextual Justification / b. Invariantism
Maybe low knowledge standards are loose talk; people will deny that it is 'really and truly' knowledge [Conee]
Maybe knowledge has fixed standards (high, but attainable), although people apply contextual standards [Conee]
18. Thought / E. Abstraction / 7. Abstracta by Equivalence
An abstraction principle should not 'inflate', producing more abstractions than objects [Fine,K]