Combining Texts

All the ideas for 'On Duties ('De Officiis')', 'Model Theory' and 'Internalism and Externalism: a History'

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12 ideas

1. Philosophy / A. Wisdom / 1. Nature of Wisdom
Cicero sees wisdom in terms of knowledge, but earlier Stoics saw it as moral [Cicero, by Long]
1. Philosophy / A. Wisdom / 2. Wise People
Unfortunately we choose a way of life before we are old enough to think clearly [Cicero]
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]
13. Knowledge Criteria / C. External Justification / 1. External Justification
Externalist accounts of knowledge do not require the traditional sort of justification [Kornblith]
23. Ethics / D. Deontological Ethics / 3. Universalisability
The essence of propriety is consistency [Cicero]