Combining Texts

All the ideas for 'reports', 'Mathematics without Foundations' and 'The Roots of Romanticism'

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13 ideas

1. Philosophy / B. History of Ideas / 5. Later European Thought
7662 Romanticism is the greatest change in the consciousness of the West [Berlin]
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 / 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]
10. Modality / A. Necessity / 8. Transcendental Necessity
3016 Even the gods cannot strive against necessity [Pittacus, by Diog. Laertius]
20. Action / C. Motives for Action / 3. Acting on Reason / b. Intellectualism
7665 Most Enlightenment thinkers believed that virtue consists ultimately in knowledge [Berlin]
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
7676 If we are essentially free wills, authenticity and sincerity are the highest virtues [Berlin]
23. Ethics / D. Deontological Ethics / 2. Duty
7664 The Greeks have no notion of obligation or duty [Berlin]
23. Ethics / F. Existentialism / 1. Existentialism
7677 Central to existentialism is the romantic idea that there is nothing to lean on [Berlin]
29. Religion / B. Monotheistic Religion / 2. Judaism
7663 Judaism and Christianity views are based on paternal, family and tribal relations [Berlin]