Combining Texts

All the ideas for 'fragments/reports', 'Model Theory' and 'The Protestant Ethic and the Spirit of Capitalism'

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15 ideas

1. Philosophy / D. Nature of Philosophy / 3. Philosophy Defined
Even pointing a finger should only be done for a reason [Epictetus]
2. Reason / D. Definition / 7. Contextual Definition
The idea that groups of concepts could be 'implicitly defined' was abandoned [Hodges,W]
5. Theory of Logic / A. Overview of Logic / 5. First-Order Logic
Since first-order languages are complete, |= and |- have the same meaning [Hodges,W]
5. Theory of Logic / B. Logical Consequence / 4. Semantic Consequence |=
|= in model-theory means 'logical consequence' - it holds in all models [Hodges,W]
5. Theory of Logic / I. Semantics of Logic / 4. Satisfaction
|= should be read as 'is a model for' or 'satisfies' [Hodges,W]
5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
Model theory studies formal or natural language-interpretation using set-theory [Hodges,W]
A 'structure' is an interpretation specifying objects and classes of quantification [Hodges,W]
Models in model theory are structures, not sets of descriptions [Hodges,W]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / i. Cardinal infinity
First-order logic can't discriminate between one infinite cardinal and another [Hodges,W]
23. Ethics / D. Deontological Ethics / 2. Duty
The idea of duty in one's calling haunts us, like a lost religion [Weber]
24. Political Theory / D. Ideologies / 11. Capitalism
Acquisition and low consumption lead to saving, investment, and increased wealth [Weber]
When asceticism emerged from the monasteries, it helped to drive the modern economy [Weber]
Capitalism is not unlimited greed, and may even be opposed to greed [Weber]
Modern western capitalism has free labour, business separate from household, and book-keeping [Weber]
29. Religion / B. Monotheistic Religion / 4. Christianity / a. Christianity
Punish the heretic, but be indulgent to the sinner [Weber]