Combining Texts

All the ideas for 'The Evolution of Modern Metaphysics', 'Model Theory' and 'The Analysis of Mind'

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16 ideas

1. Philosophy / E. Nature of Metaphysics / 1. Nature of Metaphysics
Metaphysics is the most general attempt to make sense of things [Moore,AW]
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]
11. Knowledge Aims / C. Knowing Reality / 3. Idealism / b. Transcendental idealism
Appearances are nothing beyond representations, which is transcendental ideality [Moore,AW]
12. Knowledge Sources / B. Perception / 4. Sense Data / a. Sense-data theory
In 1921 Russell abandoned sense-data, and the gap between sensation and object [Russell, by Grayling]
Seeing is not in itself knowledge, but is separate from what is seen, such as a patch of colour [Russell]
12. Knowledge Sources / B. Perception / 4. Sense Data / d. Sense-data problems
We cannot assume that the subject actually exists, so we cannot distinguish sensations from sense-data [Russell]
12. Knowledge Sources / E. Direct Knowledge / 4. Memory
It is possible the world came into existence five minutes ago, complete with false memories [Russell]
13. Knowledge Criteria / C. External Justification / 3. Reliabilism / b. Anti-reliabilism
Knowledge needs more than a sensitive response; the response must also be appropriate [Russell]
16. Persons / E. Rejecting the Self / 4. Denial of the Self
In perception, the self is just a logical fiction demanded by grammar [Russell]