Combining Texts

All the ideas for 'Introduction to 'Hippias Minor'', 'Models and Reality' and 'Logological Fragments II'

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

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10 ideas

1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / c. Philosophy as generalisation

19588

The highest aim of philosophy is to combine all philosophies into a unity [Novalis]

19598

Philosophy relies on our whole system of learning, and can thus never be complete [Novalis]

1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / d. Philosophy as puzzles

19586

Philosophers feed on problems, hoping they are digestible, and spiced with paradox [Novalis]

1. Philosophy / E. Nature of Metaphysics / 3. Metaphysical Systems

19587

Philosophy aims to produce a priori an absolute and artistic world system [Novalis]

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

13655

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

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

5. Theory of Logic / A. Overview of Logic / 8. Logic of Mathematics

19597

Logic (the theory of relations) should be applied to mathematics [Novalis]

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]

6. Mathematics / C. Sources of Mathematics / 10. Constructivism / b. Intuitionism

9548	A mathematical object exists if there is no contradiction in its definition [Waterfield]