Combining Texts

All the ideas for 'poems', 'Model Theory' and 'Is There a Marxist Doctrine?'

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13 ideas

2. Reason / D. Definition / 7. Contextual Definition
The idea that groups of concepts could be 'implicitly defined' was abandoned [Hodges,W]
3. Truth / A. Truth Problems / 3. Value of Truth
Most people won't question an idea's truth if they depend on it [Weil]
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]
20. Action / B. Preliminaries of Action / 2. Willed Action / d. Weakness of will
Weakness of will is the inadequacy of the original impetus to carry through the action [Weil]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / j. Ethics by convention
Nomos is king [Pindar]
In a violent moral disagreement, it can't be that both sides are just following social morality [Weil]
25. Social Practice / E. Policies / 1. War / b. Justice in war
When war was a profession, customary morality justified any act of war [Weil]