Combining Texts

All the ideas for 'The Realm of Matter', 'On Perceptions' and 'Remarks on axiomatised set theory'

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

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7 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets

17879

Axiomatising set theory makes it all relative [Skolem]

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

17878

If a 1st-order proposition is satisfied, it is satisfied in a denumerably infinite domain [Skolem]

6. Mathematics / B. Foundations for Mathematics / 1. Foundations for Mathematics

17880

Integers and induction are clear as foundations, but set-theory axioms certainly aren't [Skolem]

6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism

17881

Mathematician want performable operations, not propositions about objects [Skolem]

7. Existence / A. Nature of Existence / 6. Criterion for Existence

18521

The criterion of existence is the possibility of action [Santayana]

11. Knowledge Aims / C. Knowing Reality / 2. Phenomenalism

12739

If we are dreaming, it is sufficient that the events are coherent, and obey laws [Leibniz]

14. Science / A. Basis of Science / 4. Prediction

12738

Successful prediction shows proficiency in nature [Leibniz]