Combining Texts

All the ideas for 'The Logical Syntax of Language', 'Schopenhauer' and 'New Foundations for Mathematical Logic'

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4 ideas

2. Reason / A. Nature of Reason / 5. Objectivity
We become objective when we detach ourselves from the world [Janaway]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
NF has no models, but just blocks the comprehension axiom, to avoid contradictions [Quine, by Dummett]
5. Theory of Logic / B. Logical Consequence / 1. Logical Consequence
Carnap defined consequence by contradiction, but this is unintuitive and changes with substitution [Tarski on Carnap]
5. Theory of Logic / C. Ontology of Logic / 4. Logic by Convention
Each person is free to build their own logic, just by specifying a syntax [Carnap]