Combining Texts

All the ideas for 'The Languages of Art', 'Elbow Room: varieties of free will' and 'What is Cantor's Continuum Problem?'

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17 ideas

1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / a. Philosophy as worldly
An overexamined life is as bad as an unexamined one [Dennett]
2. Reason / A. Nature of Reason / 9. Limits of Reason
Rationality requires the assumption that things are either for better or worse [Dennett]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
We perceive the objects of set theory, just as we perceive with our senses [Gödel]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / o. Axiom of Constructibility V = L
Gödel proved the classical relative consistency of the axiom V = L [Gödel, by Putnam]
5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / a. Set theory paradoxes
Set-theory paradoxes are no worse than sense deception in physics [Gödel]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / g. Continuum Hypothesis
The Continuum Hypothesis is not inconsistent with the axioms of set theory [Gödel, by Clegg]
If set theory is consistent, we cannot refute or prove the Continuum Hypothesis [Gödel, by Hart,WD]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism
Basic mathematics is related to abstract elements of our empirical ideas [Gödel]
10. Modality / D. Knowledge of Modality / 4. Conceivable as Possible / c. Possible but inconceivable
Why pronounce impossible what you cannot imagine? [Dennett]
13. Knowledge Criteria / C. External Justification / 2. Causal Justification
Causal theories require the "right" sort of link (usually unspecified) [Dennett]
16. Persons / A. Concept of a Person / 4. Persons as Agents
I am the sum total of what I directly control [Dennett]
16. Persons / F. Free Will / 1. Nature of Free Will
You can be free even though force would have prevented you doing otherwise [Dennett, by PG]
Can we conceive of a being with a will freer than our own? [Dennett]
16. Persons / F. Free Will / 2. Sources of Free Will
Awareness of thought is a step beyond awareness of the world [Dennett]
Foreknowledge permits control [Dennett]
17. Mind and Body / B. Behaviourism / 3. Intentional Stance
The active self is a fiction created because we are ignorant of our motivations [Dennett]
21. Aesthetics / B. Nature of Art / 5. Art as Language
Art is like understanding a natural language, and needs a grasp of a symbol system [Goodman, by Gardner]