Combining Texts

All the ideas for 'Two Problems of Epistemology', 'Paradoxes of the Infinite' and 'Beitrage'

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4 ideas

4. Formal Logic / F. Set Theory ST / 1. Set Theory
An aggregate in which order does not matter I call a 'set' [Bolzano]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / a. The Infinite
A truly infinite quantity does not need to be a variable [Bolzano]
14. Science / A. Basis of Science / 6. Falsification
Particulars can be verified or falsified, but general statements can only be falsified (conclusively) [Popper]
18. Thought / E. Abstraction / 2. Abstracta by Selection
We form the image of a cardinal number by a double abstraction, from the elements and from their order [Cantor]