Combining Texts

All the ideas for 'fragments/reports', 'Remarks on axiomatised set theory' and 'Short History of Modern Philosophy'

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


9 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
Axiomatising set theory makes it all relative [Skolem]
5. Theory of Logic / A. Overview of Logic / 2. History of Logic
Nowadays logic is seen as the science of extensions, not intensions [Scruton]
5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems
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
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
Mathematician want performable operations, not propositions about objects [Skolem]
18. Thought / C. Content / 2. Ideas
Cartesian 'ideas' confuse concepts and propositions [Scruton]
23. Ethics / C. Virtue Theory / 1. Virtue Theory / a. Nature of virtue
A virtue is a combination of intelligence, strength and luck [Ion]
24. Political Theory / A. Basis of a State / 3. Natural Values / c. Natural rights
Allegiance is prior to the recognition of individual rights [Scruton]
25. Social Practice / C. Rights / 1. Basis of Rights
A right is a power which is enforced in the name of justice [Scruton]