Combining Texts

All the ideas for 'poems', 'Structuralism and the Notion of Dependence' and 'On the Notion of Cause'

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17 ideas

1. Philosophy / G. Scientific Philosophy / 3. Scientism
Philosophers usually learn science from each other, not from science [Russell]
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]
10. Modality / A. Necessity / 2. Nature of Necessity
'Necessary' is a predicate of a propositional function, saying it is true for all values of its argument [Russell]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / j. Ethics by convention
Nomos is king [Pindar]
26. Natural Theory / C. Causation / 7. Eliminating causation
The law of causality is a source of confusion, and should be dropped from philosophy [Russell]
If causes are contiguous with events, only the last bit is relevant, or the event's timing is baffling [Russell]
26. Natural Theory / C. Causation / 9. General Causation / a. Constant conjunction
Striking a match causes its igniting, even if it sometimes doesn't work [Russell]
26. Natural Theory / D. Laws of Nature / 5. Laws from Universals
In causal laws, 'events' must recur, so they have to be universals, not particulars [Russell]
26. Natural Theory / D. Laws of Nature / 6. Laws as Numerical
The constancy of scientific laws rests on differential equations, not on cause and effect [Russell]