Combining Texts

All the ideas for 'Metaphysical conseqs of principle of reason', 'Advice to a Young Tradesman' and 'Structuralism and the Notion of Dependence'

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13 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]
7. Existence / C. Structure of Existence / 6. Fundamentals / c. Monads
All substances analyse down to simple substances, which are souls, or 'monads' [Leibniz]
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]
23. Ethics / B. Contract Ethics / 8. Contract Strategies
Punctuality and justice in dealings are excellent for raising a man in the world [Franklin]
24. Political Theory / D. Ideologies / 11. Capitalism
Time is money, ..credit is money, ..and money breeds more money [Franklin]
26. Natural Theory / C. Causation / 3. Final causes
Power rules in efficient causes, but wisdom rules in connecting them to final causes [Leibniz]