Combining Texts

All the ideas for 'Clitophon', 'A Defense of Abortion' and 'Model Theory'

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17 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]
22. Metaethics / B. Value / 2. Values / f. Altruism
The just man does not harm his enemies, but benefits everyone [Plato]
25. Social Practice / F. Life Issues / 3. Abortion
Is someone's right to life diminished if they were conceived by a rape? [Thomson]
The right to life does not bestow the right to use someone else's body to support that life [Thomson]
No one is morally required to make huge sacrifices to keep someone else alive for nine months [Thomson]
The right to life is not a right not to be killed, but not to be killed unjustly [Thomson]
A newly fertilized ovum is no more a person than an acorn is an oak tree [Thomson]
Maybe abortion can be justified despite the foetus having full human rights [Thomson, by Foot]
It can't be murder for a mother to perform an abortion on herself to save her own life [Thomson]
The foetus is safe in the womb, so abortion initiates its death, with the mother as the agent. [Foot on Thomson]