Combining Philosophers

All the ideas for Berys Gaut, Galileo Galilei and Thoralf Skolem

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16 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
Axiomatising set theory makes it all relative [Skolem]
4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory
Skolem did not believe in the existence of uncountable sets [Skolem]
5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems
If a 1st-order proposition is satisfied, it is satisfied in a denumerably infinite domain [Skolem]
6. Mathematics / B. Foundations for Mathematics / 1. Foundations for Mathematics
Integers and induction are clear as foundations, but set-theory axioms certainly aren't [Skolem]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism
Mathematician want performable operations, not propositions about objects [Skolem]
12. Knowledge Sources / B. Perception / 2. Qualities in Perception / d. Secondary qualities
Heat and colour don't exist, so cannot mislead about the external world [Galileo, by Tuck]
Tastes, odours and colours only reside in consciousness, and would disappear with creatures [Galileo]
14. Science / D. Explanation / 2. Types of Explanation / i. Explanations by mechanism
Galileo introduced geometrico-mechanical explanation, based on Archimedes [Galileo, by Machamer/Darden/Craver]
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
'Moralism' says all aesthetic merits are moral merits [Gaut]
Good ethics counts towards aesthetic merit, and bad ethics counts against it [Gaut]
If we don't respond ethically in the way a work prescribes, that is an aesthetic failure [Gaut]
Good art does not necessarily improve people (any more than good advice does) [Gaut]
26. Natural Theory / A. Speculations on Nature / 4. Mathematical Nature
To understand the universe mathematics is essential [Galileo]
27. Natural Reality / A. Classical Physics / 1. Mechanics / b. Laws of motion
Galileo mathematised movement, and revealed its invariable component - acceleration [Galileo, by Meillassoux]