Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'Letters to Schlick' and 'Cartesian Meditations'

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10 ideas

4. Formal Logic / F. Set Theory ST / 1. Set Theory
17884 Mathematical set theory has many plausible stopping points, such as finitism, and predicativism [Koellner]
17893 'Reflection principles' say the whole truth about sets can't be captured [Koellner]
5. Theory of Logic / K. Features of Logics / 5. Incompleteness
17894 We have no argument to show a statement is absolutely undecidable [Koellner]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / i. Cardinal infinity
17890 There are at least eleven types of large cardinal, of increasing logical strength [Koellner]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
17887 PA is consistent as far as we can accept, and we expand axioms to overcome limitations [Koellner]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic
17891 Arithmetical undecidability is always settled at the next stage up [Koellner]
7. Existence / C. Structure of Existence / 6. Fundamentals / c. Monads
21226 Husserl sees the ego as a monad, unifying presence, sense and intentional acts [Husserl, by Velarde-Mayol]
15. Nature of Minds / A. Nature of Mind / 4. Other Minds / c. Knowing other minds
21228 Husserl's monads (egos) communicate, through acts of empathy. [Husserl, by Velarde-Mayol]
16. Persons / B. Nature of the Self / 4. Presupposition of Self
21225 The psychological ego is worldly, and the pure ego follows transcendental reduction [Husserl, by Velarde-Mayol]
19. Language / F. Communication / 6. Interpreting Language / a. Translation
18285 All translation loses some content (but language does not create reality) [Carnap]