Combining Texts

Ideas for 'Parmenides', 'Gentzen's Analysis of First-Order Proofs' and 'Identity and Existence in Logic'

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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 / G. Quantification / 5. Second-Order Quantification

18763

Basic variables in second-order logic are taken to range over subsets of the individuals [Anderson,CA]

5. Theory of Logic / G. Quantification / 7. Unorthodox Quantification

18771

Stop calling ∃ the 'existential' quantifier, read it as 'there is...', and range over all entities [Anderson,CA]

5. Theory of Logic / H. Proof Systems / 4. Natural Deduction

13823

In natural deduction, inferences are atomic steps involving just one logical constant [Prawitz]

5. Theory of Logic / L. Paradox / 3. Antinomies

13986

Plato found antinomies in ideas, Kant in space and time, and Bradley in relations [Plato, by Ryle]

14150

Plato's 'Parmenides' is perhaps the best collection of antinomies ever made [Russell on Plato]