Combining Texts

All the ideas for 'Intro to 'Provenance of Pure Reason'', 'Intros to Russell's 'Essays in Analysis'' and 'Carving Content at the Joints'

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4 ideas

5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
Mathematics must be based on axioms, which are true because they are axioms, not vice versa [Tait, by Parsons,C]
5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / b. Cantor's paradox
Sets always exceed terms, so all the sets must exceed all the sets [Lackey]
5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / c. Burali-Forti's paradox
It seems that the ordinal number of all the ordinals must be bigger than itself [Lackey]
18. Thought / E. Abstraction / 7. Abstracta by Equivalence
A sentence should be recarved to reveal its content or implication relations [Yablo]