Combining Texts

All the ideas for 'Mathematics without Foundations', 'Abstract Entities' and 'Utopia'

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15 ideas

4. Formal Logic / F. Set Theory ST / 3. Types of Set / d. Infinite Sets
9944 We understand some statements about all sets [Putnam]
6. Mathematics / B. Foundations for Mathematics / 1. Foundations for Mathematics
9937 I do not believe mathematics either has or needs 'foundations' [Putnam]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / a. Axioms for numbers
9939 It is conceivable that the axioms of arithmetic or propositional logic might be changed [Putnam]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism
9940 Maybe mathematics is empirical in that we could try to change it [Putnam]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / b. Indispensability of mathematics
9941 Science requires more than consistency of mathematics [Putnam]
7. Existence / A. Nature of Existence / 4. Abstract Existence
14592 Some abstract things have a beginning and end, so may exist in time (though not space) [Swoyer]
7. Existence / D. Theories of Reality / 1. Ontologies
14594 Ontologists seek existence and identity conditions, and modal and epistemic status for a thing [Swoyer]
7. Existence / D. Theories of Reality / 4. Anti-realism
9943 You can't deny a hypothesis a truth-value simply because we may never know it! [Putnam]
8. Modes of Existence / B. Properties / 1. Nature of Properties
14595 Can properties exemplify other properties? [Swoyer]
9. Objects / A. Existence of Objects / 5. Simples
14593 Quantum field theory suggests that there are, fundamentally, no individual things [Swoyer]
24. Political Theory / D. Ideologies / 3. Conservatism
7257 All modern social systems seem to be conspiracies of the rich [More,T]
24. Political Theory / D. Ideologies / 5. Democracy / d. Representative democracy
7254 If you try to get elected, you should be permanently barred from seeking office [More,T]
25. Social Practice / E. Policies / 1. War / a. Just wars
7255 Only Utopians fail to see glory in warfare [More,T]
25. Social Practice / F. Life Issues / 2. Euthanasia
7253 In Utopia, legal euthanasia is considered honourable [More,T]
28. God / C. Attitudes to God / 2. Pantheism
7256 In Utopia, the Supreme Being is identical with Nature [More,T]