Combining Texts

All the ideas for 'fragments/reports', 'Model Theory' and 'Ecce Homo'

expand these ideas     |    start again     |     specify just one area for these texts


18 ideas

1. Philosophy / D. Nature of Philosophy / 1. Philosophy
A warlike philosopher challenges problems to single combat [Nietzsche]
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 / i. Self-interest
The distinction between egoistic and non-egoistic acts is absurd [Nietzsche]
22. Metaethics / C. The Good / 1. Goodness / i. Moral luck
A bad result distorts one's judgement about the virtue of what one has done [Nietzsche]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / e. Character
Virtue comes more from habit than character [Critias]
23. Ethics / C. Virtue Theory / 3. Virtues / f. Compassion
The overcoming of pity I count among the noble virtues [Nietzsche]
23. Ethics / F. Existentialism / 6. Authentic Self
To become what you are you must have no self-awareness [Nietzsche]
23. Ethics / F. Existentialism / 8. Eternal Recurrence
Eternal recurrence is the highest attainable affirmation [Nietzsche]
25. Social Practice / E. Policies / 5. Education / c. Teaching
One repays a teacher badly if one remains only a pupil [Nietzsche]
28. God / C. Attitudes to God / 5. Atheism
Fear of the gods was invented to discourage secret sin [Critias]
I am not an atheist because of reasoning or evidence, but because of instinct [Nietzsche]