Combining Texts

All the ideas for 'works', 'Model Theory' and 'Davidson on himself'

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25 ideas

2. Reason / A. Nature of Reason / 5. Objectivity
Truth and objectivity depend on a community of speakers to interpret what they mean [Davidson]
There are no ultimate standards of rationality, since we only assess others by our own standard [Davidson]
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]
15. Nature of Minds / A. Nature of Mind / 1. Mind / a. Mind
There are no such things as minds, but people have mental properties [Davidson]
17. Mind and Body / D. Property Dualism / 1. Reductionism critique
If the mind is an anomaly, this makes reduction of the mental to the physical impossible [Davidson]
17. Mind and Body / D. Property Dualism / 2. Anomalous Monism
Obviously all mental events are causally related to physical events [Davidson]
There are no strict psychophysical laws connecting mental and physical events [Davidson]
Mental entities do not add to the physical furniture of the world [Davidson]
17. Mind and Body / D. Property Dualism / 3. Property Dualism
The correct conclusion is ontological monism combined with conceptual dualism [Davidson]
18. Thought / A. Modes of Thought / 5. Rationality / a. Rationality
Absence of all rationality would be absence of thought [Davidson]
18. Thought / C. Content / 6. Broad Content
Our meanings are partly fixed by events of which we may be ignorant [Davidson]
19. Language / D. Propositions / 6. Propositions Critique
Propositions explain nothing without an explanation of how sentences manage to name them [Davidson]
19. Language / F. Communication / 4. Private Language
Thought is only fully developed if we communicate with others [Davidson]
19. Language / F. Communication / 6. Interpreting Language / c. Principle of charity
There is simply no alternative to the 'principle of charity' in interpreting what others do [Davidson]
25. Social Practice / E. Policies / 5. Education / c. Teaching
Without a teacher, the concept of 'getting things right or wrong' is meaningless [Davidson]
26. Natural Theory / C. Causation / 9. General Causation / b. Nomological causation
Cause and effect relations between events must follow strict laws [Davidson]
29. Religion / B. Monotheistic Religion / 4. Christianity / d. Heresy
Philosophers are the forefathers of heretics [Tertullian]
29. Religion / D. Religious Issues / 1. Religious Commitment / e. Fideism
I believe because it is absurd [Tertullian]