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Ideas for 'What is Logic?st1=Ian Hacking', 'Replies on 'Limits of Abstraction'' and 'later work'

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5 ideas

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]

4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / e. Iterative sets

10565

There is no stage at which we can take all the sets to have been generated [Fine,K]

4. Formal Logic / G. Formal Mereology / 3. Axioms of Mereology

10564

We might combine the axioms of set theory with the axioms of mereology [Fine,K]