Combining Texts

All the ideas for 'works', 'Models and Reality' and 'The Idea of Equality'

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9 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / o. Axiom of Constructibility V = L
V = L just says all sets are constructible [Putnam]
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
The Löwenheim-Skolem Theorem is close to an antinomy in philosophy of language [Putnam]
6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry
Archimedes defined a straight line as the shortest distance between two points [Archimedes, by Leibniz]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism
It is unfashionable, but most mathematical intuitions come from nature [Putnam]
23. Ethics / C. Virtue Theory / 3. Virtues / h. Respect
Equality of opportunity without equality of respect would create a very inhuman society [Williams,B]
25. Social Practice / B. Equalities / 1. Grounds of equality
Equality implies that people are alike in potential as well as in needs [Williams,B]
Equality seems to require that each person be acknowledged as having a significant point of view [Williams,B]
25. Social Practice / B. Equalities / 4. Economic equality
It is a mark of extreme exploitation that the sufferers do not realise their plight [Williams,B]