Combining Texts

All the ideas for 'fragments/reports', 'Remarks on axiomatised set theory' and 'On Certainty'

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9 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]

13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / a. Foundationalism

3597	Foundations need not precede other beliefs [Wittgenstein]

13. Knowledge Criteria / D. Scepticism / 6. Scepticism Critique

3596	Total doubt can't even get started [Wittgenstein, by Williams,M]

19. Language / A. Nature of Meaning / 10. Denial of Meanings

4721	If you are not certain of any fact, you cannot be certain of the meaning of your words either [Wittgenstein]

25. Social Practice / E. Policies / 5. Education / b. Education principles

13304

Learned men gain more in one day than others do in a lifetime [Posidonius]

27. Natural Reality / D. Time / 1. Nature of Time / d. Time as measure

20820

Time is an interval of motion, or the measure of speed [Posidonius, by Stobaeus]