Combining Texts

All the ideas for 'The Sign of Four', 'Mathematics without Foundations' and 'Intro to 'Creating the Kingdom of Ends''

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12 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]
14. Science / C. Induction / 1. Induction
If you eliminate the impossible, the truth will remain, even if it is weird [Conan Doyle]
16. Persons / A. Concept of a Person / 4. Persons as Agents
A person viewed as an agent makes no sense without its own future [Korsgaard]
To make sense of personal identity, focus on agency rather than experience [Korsgaard]
20. Action / A. Definition of Action / 1. Action Theory
Theory of action focuses on explanation and prediction; practical action on justification and choice [Korsgaard]
22. Metaethics / B. Value / 2. Values / i. Self-interest
Self-concern may be a source of pain, or a lack of self-respect, or a failure of responsibility [Korsgaard]
23. Ethics / A. Egoism / 1. Ethical Egoism
Personal concern for one's own self widens out into concern for the impersonal [Korsgaard]