Combining Texts

All the ideas for 'On the Foundations of Logic and Arithmetic', 'Intro to 2nd ed of Principia Mathematica' and 'Intro to 'Philosophical Essays''

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5 ideas

1. Philosophy / D. Nature of Philosophy / 1. Philosophy
9786 Philosophers working like teams of scientists is absurd, yet isolation is hard [Cartwright,R]
2. Reason / A. Nature of Reason / 6. Coherence
9784 A false proposition isn't truer because it is part of a coherent system [Cartwright,R]
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]