Combining Texts

All the ideas for 'poems', 'What is Cantor's Continuum Problem?' and 'Action, Reasons and Causes'

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16 ideas

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]
7. Existence / B. Change in Existence / 4. Events / b. Events as primitive
Varied descriptions of an event will explain varied behaviour relating to it [Davidson, by Macdonald,C]
20. Action / A. Definition of Action / 2. Duration of an Action
If one action leads directly to another, they are all one action [Davidson, by Wilson/Schpall]
20. Action / B. Preliminaries of Action / 1. Intention to Act / a. Nature of intentions
We explain an intention by giving an account of acting with an intention [Davidson, by Stout,R]
20. Action / C. Motives for Action / 2. Acting on Beliefs / a. Acting on beliefs
Acting for a reason is a combination of a pro attitude, and a belief that the action is appropriate [Davidson]
20. Action / C. Motives for Action / 3. Acting on Reason / c. Reasons as causes
The best explanation of reasons as purposes for actions is that they are causal [Davidson, by Smith,M]
Reasons can give purposes to actions, without actually causing them [Smith,M on Davidson]
Early Davidson says intentional action is caused by reasons [Davidson, by Stout,R]
Reasons must be causes when agents act 'for' reasons [Davidson, by Lowe]
Davidson claims that what causes an action is the reason for doing it [Davidson, by Kim]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / j. Ethics by convention
Nomos is king [Pindar]