Combining Texts

All the ideas for 'fragments/reports', 'Manuscript remains' and 'Models and Reality'

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

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10 ideas

1. Philosophy / D. Nature of Philosophy / 1. Philosophy

21916

Philosophers can't be religious, and don't need to be; philosophy is perilous but free [Schopenhauer]

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / o. Axiom of Constructibility V = L

9915	V = L just says all sets are constructible [Putnam]

13655

The Löwenheim-Skolem theorems show that whether all sets are constructible is indeterminate [Putnam, by Shapiro]

5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems

9913	The Löwenheim-Skolem Theorem is close to an antinomy in philosophy of language [Putnam]

6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism

9914	It is unfashionable, but most mathematical intuitions come from nature [Putnam]

7. Existence / A. Nature of Existence / 3. Being / d. Non-being

18933

Not-Being obviously doesn't exist, and the five modes of Being are all impossible [Gorgias, by Diog. Laertius]

19. Language / F. Communication / 1. Rhetoric

5864	Destroy seriousness with laughter, and laughter with seriousness [Gorgias]

9866	Gorgias says rhetoric is the best of arts, because it enslaves without using force [Gorgias, by Plato]

20. Action / B. Preliminaries of Action / 2. Willed Action / a. Will to Act

21924

As the subject of willing I am wretched, but absorption in knowledge is bliss [Schopenhauer]

22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / b. Rational ethics

21915

To deduce morality from reason is blasphemy, because it is holy, and far above reason [Schopenhauer]