Combining Texts

All the ideas for 'The Logical Syntax of Language', 'Schopenhauer' and 'Paradoxes of the Infinite'

expand these ideas     |    start again     |     specify just one area for these texts


5 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 / 1. Set Theory
An aggregate in which order does not matter I call a 'set' [Bolzano]
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]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / a. The Infinite
A truly infinite quantity does not need to be a variable [Bolzano]