Combining Texts

All the ideas for 'Reference and Essence: seven appendices', 'Nietzsche's Immoralism' and 'Mathematics without Foundations'

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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]
7. Existence / D. Theories of Reality / 10. Vagueness / g. Degrees of vagueness
It can't be indeterminate whether x and y are identical; if x,y is indeterminate, then it isn't x,x [Salmon,N]
19. Language / B. Reference / 3. Direct Reference / a. Direct reference
Kripke and Putnam made false claims that direct reference implies essentialism [Salmon,N]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / g. Moral responsibility
Unlike aesthetic evaluation, moral evaluation needs a concept of responsibility [Foot]
23. Ethics / C. Virtue Theory / 3. Virtues / c. Justice
The practice of justice may well need a recognition of human equality [Foot]