Combining Texts

Ideas for 'On the Question of Absolute Undecidability', 'The Philosopher's Toolkit' and 'Letters to Wolff'

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4 ideas

4. Formal Logic / B. Propositional Logic PL / 2. Tools of Propositional Logic / e. Axioms of PL
'Natural' systems of deduction are based on normal rational practice, rather than on axioms [Baggini /Fosl]
In ideal circumstances, an axiom should be such that no rational agent could possibly object to its use [Baggini /Fosl]
4. Formal Logic / F. Set Theory ST / 1. Set Theory
Mathematical set theory has many plausible stopping points, such as finitism, and predicativism [Koellner]
'Reflection principles' say the whole truth about sets can't be captured [Koellner]