Combining Texts

All the ideas for 'Through the Looking Glass', 'Conjectures and Refutations' and 'Grundlagen (Foundations of Theory of Manifolds)'

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7 ideas

4. Formal Logic / F. Set Theory ST / 1. Set Theory
Cantor developed sets from a progression into infinity by addition, multiplication and exponentiation [Cantor, by Lavine]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / e. Ordinal numbers
Ordinals are generated by endless succession, followed by a limit ordinal [Cantor, by Lavine]
7. Existence / A. Nature of Existence / 3. Being / e. Being and nothing
I only wish I had such eyes as to see Nobody! It's as much as I can do to see real people. [Carroll,L]
9. Objects / D. Essence of Objects / 11. Essence of Artefacts
Human artefacts may have essences, in their purposes [Popper]
14. Science / D. Explanation / 3. Best Explanation / b. Ultimate explanation
Science does not aim at ultimate explanations [Popper]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / a. Scientific essentialism
Galilean science aimed at true essences, as the ultimate explanations [Popper]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / e. Anti scientific essentialism
Essentialist views of science prevent further questions from being raised [Popper]