Combining Texts

All the ideas for 'Precis of 'Limits of Abstraction'', 'Evidentialism' and 'Gentzen's Analysis of First-Order Proofs'

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11 ideas

2. Reason / D. Definition / 2. Aims of Definition
10528 Definitions concern how we should speak, not how things are [Fine,K]
5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic
13831 Logic is based on transitions between sentences [Prawitz]
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives
13825 Natural deduction introduction rules may represent 'definitions' of logical connectives [Prawitz]
5. Theory of Logic / H. Proof Systems / 4. Natural Deduction
13823 In natural deduction, inferences are atomic steps involving just one logical constant [Prawitz]
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]
11. Knowledge Aims / A. Knowledge / 4. Belief / a. Beliefs
8808 Involuntary beliefs can still be evaluated [Feldman/Conee]
13. Knowledge Criteria / B. Internal Justification / 3. Evidentialism / b. Evidentialism
8807 Evidentialism is the view that justification is determined by the quality of the evidence [Feldman/Conee]
8809 Beliefs should fit evidence, and if you ought to believe it, then you are justified [Feldman/Conee]
13. Knowledge Criteria / C. External Justification / 3. Reliabilism / a. Reliable knowledge
8810 If someone rejects good criticism through arrogance, that is irrelevant to whether they have knowledge [Feldman/Conee]
18. Thought / E. Abstraction / 7. Abstracta by Equivalence
10527 An abstraction principle should not 'inflate', producing more abstractions than objects [Fine,K]