Combining Texts

All the ideas for 'fragments/reports', 'On the Question of Absolute Undecidability' and '74: Reply to Colotes'

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15 ideas

4. Formal Logic / F. Set Theory ST / 1. Set Theory
Mathematical set theory has many plausible stopping points, such as finitism, and predicativism [Koellner]
'Reflection principles' say the whole truth about sets can't be captured [Koellner]
5. Theory of Logic / K. Features of Logics / 5. Incompleteness
We have no argument to show a statement is absolutely undecidable [Koellner]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / i. Cardinal infinity
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
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
Arithmetical undecidability is always settled at the next stage up [Koellner]
7. Existence / A. Nature of Existence / 3. Being / d. Non-being
Not-Being obviously doesn't exist, and the five modes of Being are all impossible [Gorgias, by Diog. Laertius]
16. Persons / B. Nature of the Self / 7. Self and Body / c. Self as brain controller
Rather than being the whole soul, maybe I am its chief part? [Plutarch]
17. Mind and Body / E. Mind as Physical / 7. Anti-Physicalism / a. Physicalism critique
If atoms have no qualities, they cannot possibly produce a mind [Plutarch]
19. Language / F. Communication / 1. Rhetoric
Gorgias says rhetoric is the best of arts, because it enslaves without using force [Gorgias, by Plato]
Destroy seriousness with laughter, and laughter with seriousness [Gorgias]
20. Action / B. Preliminaries of Action / 1. Intention to Act / c. Reducing intentions
Action needs an affinity for a presentation, and an impulse toward the affinity [Plutarch]
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
The good life involves social participation, loyalty, temperance and honesty [Plutarch]
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / g. Atomism
If only atoms exist, how do qualities arise when the atoms come together? [Plutarch]
29. Religion / D. Religious Issues / 1. Religious Commitment / a. Religious Belief
No one will ever find a city that lacks religious practices [Plutarch]