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'On the Question of Absolute Undecidability', 'On Duties ('De Officiis')' and 'What is Logic?'
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4. Formal Logic / B. Propositional Logic PL / 2. Tools of Propositional Logic / d. Basic theorems of PL
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'Thinning' ('dilution') is the key difference between deduction (which allows it) and induction [Hacking]
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Gentzen's Cut Rule (or transitivity of deduction) is 'If A |- B and B |- C, then A |- C' [Hacking]
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Only Cut reduces complexity, so logic is constructive without it, and it can be dispensed with [Hacking]
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4. Formal Logic / F. Set Theory ST / 1. Set Theory
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Mathematical set theory has many plausible stopping points, such as finitism, and predicativism [Koellner]
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'Reflection principles' say the whole truth about sets can't be captured [Koellner]
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