Combining Texts

Ideas for 'In Defense of Essentialism', 'Posterior Analytics' and 'The Runabout Inference Ticket'

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8 ideas

5. Theory of Logic / A. Overview of Logic / 6. Classical Logic

12376

Demonstrations by reductio assume excluded middle [Aristotle]

5. Theory of Logic / B. Logical Consequence / 1. Logical Consequence

12373

Something holds universally when it is proved of an arbitrary and primitive case [Aristotle]

5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle

12363

Everything is either asserted or denied truly [Aristotle]

5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives

17896

We need to know the meaning of 'and', prior to its role in reasoning [Prior,AN, by Belnap]

17898

Prior's 'tonk' is inconsistent, since it allows the non-conservative inference A |- B [Belnap on Prior,AN]

11021

Prior rejected accounts of logical connectives by inference pattern, with 'tonk' his absurd example [Prior,AN, by Read]

13836

Maybe introducing or defining logical connectives by rules of inference leads to absurdity [Prior,AN, by Hacking]

5. Theory of Logic / K. Features of Logics / 1. Axiomatisation

13004

Aristotle's axioms (unlike Euclid's) are assumptions awaiting proof [Aristotle, by Leibniz]