Combining Texts

All the ideas for 'Demonstratives', 'Mathematics without Foundations' and 'Cartesian Meditations'

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11 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 / C. Structure of Existence / 6. Fundamentals / c. Monads
Husserl sees the ego as a monad, unifying presence, sense and intentional acts [Husserl, by Velarde-Mayol]
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]
15. Nature of Minds / A. Nature of Mind / 4. Other Minds / c. Knowing other minds
Husserl's monads (egos) communicate, through acts of empathy. [Husserl, by Velarde-Mayol]
16. Persons / B. Nature of the Self / 4. Presupposition of Self
The psychological ego is worldly, and the pure ego follows transcendental reduction [Husserl, by Velarde-Mayol]
19. Language / C. Assigning Meanings / 10. Two-Dimensional Semantics
Indexicals have a 'character' (the standing meaning), and a 'content' (truth-conditions for one context) [Kaplan, by Macià/Garcia-Carpentiro]
'Content' gives the standard modal profile, and 'character' gives rules for a context [Kaplan, by Schroeter]