Combining Texts

All the ideas for 'Matter and Memory', 'Causal Explanation' and 'First-Order Logic'

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22 ideas

3. Truth / A. Truth Problems / 6. Verisimilitude
Verisimilitude has proved hard to analyse, and seems to have several components [Lewis]
5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic
Logic is the study of sound argument, or of certain artificial languages (or applying the latter to the former) [Hodges,W]
5. Theory of Logic / I. Semantics of Logic / 1. Semantics of Logic
A formula needs an 'interpretation' of its constants, and a 'valuation' of its variables [Hodges,W]
There are three different standard presentations of semantics [Hodges,W]
I |= φ means that the formula φ is true in the interpretation I [Hodges,W]
5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems
Up Löwenheim-Skolem: if infinite models, then arbitrarily large models [Hodges,W]
Down Löwenheim-Skolem: if a countable language has a consistent theory, that has a countable model [Hodges,W]
5. Theory of Logic / K. Features of Logics / 6. Compactness
If a first-order theory entails a sentence, there is a finite subset of the theory which entails it [Hodges,W]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
A 'set' is a mathematically well-behaved class [Hodges,W]
7. Existence / A. Nature of Existence / 3. Being / c. Becoming
Bergson was a rallying point, because he emphasised becomings and multiplicities [Bergson, by Deleuze]
8. Modes of Existence / C. Powers and Dispositions / 3. Powers as Derived
A disposition needs a causal basis, a property in a certain causal role. Could the disposition be the property? [Lewis]
10. Modality / B. Possibility / 7. Chance
We can explain a chance event, but can never show why some other outcome did not occur [Lewis]
12. Knowledge Sources / E. Direct Knowledge / 4. Memory
Bergson showed that memory is not after the event, but coexists with it [Bergson, by Deleuze]
14. Science / D. Explanation / 1. Explanation / b. Aims of explanation
Does a good explanation produce understanding? That claim is just empty [Lewis]
14. Science / D. Explanation / 2. Types of Explanation / e. Lawlike explanations
Science may well pursue generalised explanation, rather than laws [Lewis]
14. Science / D. Explanation / 2. Types of Explanation / f. Necessity in explanations
A good explanation is supposed to show that the event had to happen [Lewis]
14. Science / D. Explanation / 2. Types of Explanation / g. Causal explanations
Lewis endorses the thesis that all explanation of singular events is causal explanation [Lewis, by Psillos]
To explain an event is to provide some information about its causal history [Lewis]
26. Natural Theory / C. Causation / 2. Types of cause
Explaining match lighting in general is like explaining one lighting of a match [Lewis]
26. Natural Theory / C. Causation / 8. Particular Causation / d. Selecting the cause
We only pick 'the' cause for the purposes of some particular enquiry. [Lewis]
Ways of carving causes may be natural, but never 'right' [Lewis]
26. Natural Theory / C. Causation / 9. General Causation / c. Counterfactual causation
Causal dependence is counterfactual dependence between events [Lewis]