Combining Texts

All the ideas for 'Defending the Axioms', 'What is an Emotion?' and 'Action, Reasons and Causes'

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17 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
The Axiom of Choice paradoxically allows decomposing a sphere into two identical spheres [Maddy]
5. Theory of Logic / C. Ontology of Logic / 3. If-Thenism
Critics of if-thenism say that not all starting points, even consistent ones, are worth studying [Maddy]
5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
Hilbert's geometry and Dedekind's real numbers were role models for axiomatization [Maddy]
If two mathematical themes coincide, that suggest a single deep truth [Maddy]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / g. Continuum Hypothesis
Every infinite set of reals is either countable or of the same size as the full set of reals [Maddy]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
Set-theory tracks the contours of mathematical depth and fruitfulness [Maddy]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / c. Against mathematical empiricism
The connection of arithmetic to perception has been idealised away in modern infinitary mathematics [Maddy]
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]
18. Thought / A. Modes of Thought / 3. Emotions / a. Nature of emotions
Rage is inconceivable without bodily responses; so there are no disembodied emotions [James]
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]