Combining Texts

All the ideas for 'Defending the Axioms', 'What is an Emotion?' and 'The Ethical Criticism of Art'

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14 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]
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]
21. Aesthetics / A. Aesthetic Experience / 2. Aesthetic Attitude
Maybe literary assessment is evaluating the artist as a suitable friend [Gaut]
21. Aesthetics / B. Nature of Art / 2. Art as Form
Formalists say aesthetics concerns types of beauty, or unity, complexity and intensity [Gaut]
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
Good ethics counts towards aesthetic merit, and bad ethics counts against it [Gaut]
Good art does not necessarily improve people (any more than good advice does) [Gaut]
If we don't respond ethically in the way a work prescribes, that is an aesthetic failure [Gaut]
'Moralism' says all aesthetic merits are moral merits [Gaut]