Combining Texts

All the ideas for 'fragments/reports', 'Introduction to 'Personal Identity'' and 'Model Theory'

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14 ideas

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]
16. Persons / D. Continuity of the Self / 2. Mental Continuity / b. Self as mental continuity
Maybe we should see persons in four dimensions, with stages or time-slices at an instant [Martin/Barresi]
Maybe personal identity is not vital in survival, and other continuations would suffice [Martin/Barresi]
16. Persons / E. Rejecting the Self / 2. Self as Social Construct
Locke's intrinsic view of personal identity has been replaced by an externalist view [Martin/Barresi]
25. Social Practice / E. Policies / 5. Education / b. Education principles
Learned men gain more in one day than others do in a lifetime [Posidonius]
27. Natural Reality / D. Time / 1. Nature of Time / d. Time as measure
Time is an interval of motion, or the measure of speed [Posidonius, by Stobaeus]
29. Religion / D. Religious Issues / 2. Immortality / a. Immortality
For Aristotle the psyche perishes with the body (except possibly 'nous') [Martin/Barresi]