Combining Texts

All the ideas for 'fragments/reports', 'Mathematics without Foundations' and 'Critique of Judgement II: Teleological'

expand these ideas     |    start again     |     specify just one area for these texts


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]
22. Metaethics / B. Value / 1. Nature of Value / f. Ultimate value
What is contemplated must have a higher value than contemplation [Kant, by Korsgaard]
Only a good will can give man's being, and hence the world, a final purpose [Kant]
25. Social Practice / E. Policies / 5. Education / b. Education principles
Learned men gain more in one day than others do in a lifetime [Posidonius]
26. Natural Theory / A. Speculations on Nature / 1. Nature
The Critique of Judgement aims for a principle that unities humanity and nature [Kant, by Bowie]
26. Natural Theory / A. Speculations on Nature / 2. Natural Purpose / b. Limited purposes
Without men creation would be in vain, and without final purpose [Kant]
27. Natural Reality / D. Time / 1. Nature of Time / d. Time as measure
Time is an interval of motion, or the measure of speed [Posidonius, by Stobaeus]