Combining Philosophers

Ideas for Oswald Veblen, John Locke and Ian Hacking

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5 ideas

4. Formal Logic / A. Syllogistic Logic / 2. Syllogistic Logic

8084	Syllogisms are verbal fencing, not discovery [Locke]

12572

Many people can reason well, yet can't make a syllogism [Locke]

4. Formal Logic / B. Propositional Logic PL / 2. Tools of Propositional Logic / d. Basic theorems of PL

13833

'Thinning' ('dilution') is the key difference between deduction (which allows it) and induction [Hacking]

13834

Gentzen's Cut Rule (or transitivity of deduction) is 'If A |- B and B |- C, then A |- C' [Hacking]

13835

Only Cut reduces complexity, so logic is constructive without it, and it can be dispensed with [Hacking]