Combining Texts

All the ideas for 'Interview with Baggini and Stangroom', 'The Nature of Musical Expression' and 'Structuralism and the Notion of Dependence'

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14 ideas

6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / b. Varieties of structuralism
'Deductivist' structuralism is just theories, with no commitment to objects, or modality [Linnebo]
Non-eliminative structuralism treats mathematical objects as positions in real abstract structures [Linnebo]
'Modal' structuralism studies all possible concrete models for various mathematical theories [Linnebo]
'Set-theoretic' structuralism treats mathematics as various structures realised among the sets [Linnebo]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / d. Platonist structuralism
Structuralism differs from traditional Platonism, because the objects depend ontologically on their structure [Linnebo]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique
Structuralism is right about algebra, but wrong about sets [Linnebo]
In mathematical structuralism the small depends on the large, which is the opposite of physical structures [Linnebo]
7. Existence / C. Structure of Existence / 4. Ontological Dependence
There may be a one-way direction of dependence among sets, and among natural numbers [Linnebo]
8. Modes of Existence / B. Properties / 4. Intrinsic Properties
An 'intrinsic' property is either found in every duplicate, or exists independent of all externals [Linnebo]
21. Aesthetics / B. Nature of Art / 4. Art as Expression
Romantics say music expresses ideas, or the Will, or intuitions, or feelings [Scruton]
21. Aesthetics / C. Artistic Issues / 4. Emotion in Art
Expressing melancholy is a good thing, but arousing it is a bad thing [Scruton]
22. Metaethics / B. Value / 2. Values / e. Death
It is disturbing if we become unreal when we die, but if time is unreal, then we remain real after death [Le Poidevin]
23. Ethics / F. Existentialism / 1. Existentialism
Existentialism focuses on freedom and self-making, and insertion into the world [Le Poidevin]
27. Natural Reality / D. Time / 2. Passage of Time / d. Time series
A-theory says past, present, future and flow exist; B-theory says this just reports our perspective [Le Poidevin]