Combining Texts

All the ideas for 'fragments/reports', 'Gentzen's Analysis of First-Order Proofs' and 'Cours d'Analyse'

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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 / k. Infinitesimals

18085

Values that approach zero, becoming less than any quantity, are 'infinitesimals' [Cauchy]

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / l. Limits

18084

When successive variable values approach a fixed value, that is its 'limit' [Cauchy]

23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / e. Character

541	Virtue comes more from habit than character [Critias]

28. God / C. Attitudes to God / 5. Atheism

542	Fear of the gods was invented to discourage secret sin [Critias]