Combining Texts

All the ideas for 'Classical Cosmology (frags)', 'Mathematics without Foundations' and 'Persons, Character and Morality'

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10 ideas

4. Formal Logic / F. Set Theory ST / 3. Types of Set / d. Infinite Sets
We understand some statements about all sets [Putnam]
6. Mathematics / B. Foundations for Mathematics / 1. Foundations for Mathematics
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
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
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
Science requires more than consistency of mathematics [Putnam]
7. Existence / D. Theories of Reality / 4. Anti-realism
You can't deny a hypothesis a truth-value simply because we may never know it! [Putnam]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / e. Character
It is important that a person can change their character, and not just be successive 'selves' [Williams,B]
Kantians have an poor account of individuals, and insist on impartiality, because they ignore character [Williams,B]
23. Ethics / E. Utilitarianism / 1. Utilitarianism
For utilitarians states of affairs are what have value, not matter who produced them [Williams,B]
27. Natural Reality / E. Cosmology / 1. Cosmology
Is the cosmos open or closed, mechanical or teleological, alive or inanimate, and created or eternal? [Robinson,TM, by PG]