Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'thirty titles (lost)' and 'Sketch for a Theory of the Emotions'

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14 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]
9. Objects / B. Unity of Objects / 2. Substance / c. Types of substance
Speusippus suggested underlying principles for every substance, and ended with a huge list [Speussipus, by Aristotle]
15. Nature of Minds / B. Features of Minds / 1. Consciousness / b. Essence of consciousness
Consciousness always transcends itself [Sartre]
18. Thought / A. Modes of Thought / 3. Emotions / a. Nature of emotions
An emotion and its object form a unity, so emotion is a mode of apprehension [Sartre]
Emotion is one of our modes of understanding our Being-in-the-World [Sartre]
18. Thought / A. Modes of Thought / 3. Emotions / c. Role of emotions
Emotions are a sort of bodily incantation which brings a magic to the world [Sartre]
Emotions makes us believe in and live in a new world [Sartre]
24. Political Theory / B. Nature of a State / 1. Purpose of a State
States have a monopoly of legitimate violence [Sartre, by Wolff,J]
28. God / C. Attitudes to God / 5. Atheism
Speusippus said things were governed by some animal force rather than the gods [Speussipus, by Cicero]