Combining Texts

All the ideas for 'fragments/reports', 'Intro to 2nd ed of Principia Mathematica' and 'On the Foundations of Logic and Arithmetic'

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4 ideas

6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / c. Against mathematical empiricism

17697

The existence of an arbitrarily large number refutes the idea that numbers come from experience [Hilbert]

6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique

17698

Logic already contains some arithmetic, so the two must be developed together [Hilbert]

7. Existence / C. Structure of Existence / 6. Fundamentals / d. Logical atoms

21681

Given all true atomic propositions, in theory every other truth can thereby be deduced [Russell]

13. Knowledge Criteria / D. Scepticism / 3. Illusion Scepticism

2667	A false object might give the same presentation as a true one [Arcesilaus, by Cicero]