Combining Texts

All the ideas for 'Gentzen's Analysis of First-Order Proofs', 'Reply to Sixth Objections' and 'On the Nature of Mathematical Reasoning'

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7 ideas

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 / A. Nature of Mathematics / 5. The Infinite / d. Actual infinite

15923

Poincaré rejected the actual infinite, claiming definitions gave apparent infinity to finite objects [Poincaré, by Lavine]

7. Existence / C. Structure of Existence / 5. Supervenience / c. Significance of supervenience

3644	Two things being joined together doesn't prove they are the same [Descartes]

13. Knowledge Criteria / D. Scepticism / 3. Illusion Scepticism

3621	Only judgement decides which of our senses are reliable [Descartes]

28. God / A. Divine Nature / 6. Divine Morality / d. God decrees morality

3637	Ideas in God's mind only have value if he makes it so [Descartes]