Combining Texts

All the ideas for 'Intentionality and the Physical: reply to Mumford', 'Treatise of Human Nature, Appendix' and 'First-Order Logic'

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21 ideas

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
Down Löwenheim-Skolem: if a countable language has a consistent theory, that has a countable model [Hodges,W]
Up Löwenheim-Skolem: if infinite models, then arbitrarily large models [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]
11. Knowledge Aims / A. Knowledge / 4. Belief / d. Cause of beliefs
Belief is a feeling, independent of the will, which arises from uncontrolled and unknown causes [Hume]
12. Knowledge Sources / D. Empiricism / 1. Empiricism
A proposition cannot be intelligible or consistent, if the perceptions are not so [Hume]
15. Nature of Minds / B. Features of Minds / 4. Intentionality / b. Intentionality theories
Intentionality is the mark of dispositions, not of the mental [Place]
15. Nature of Minds / C. Capacities of Minds / 7. Seeing Resemblance
Hume needs a notion which includes degrees of resemblance [Shoemaker on Hume]
16. Persons / B. Nature of the Self / 5. Self as Associations
Experiences are logically separate, but factually linked by simultaneity or a feeling of continuousness [Ayer on Hume]
16. Persons / D. Continuity of the Self / 2. Mental Continuity / b. Self as mental continuity
Are self and substance the same? Then how can self remain if substance changes? [Hume]
16. Persons / D. Continuity of the Self / 2. Mental Continuity / c. Inadequacy of mental continuity
Perceptions are distinct, so no connection between them can ever be discovered [Hume]
16. Persons / E. Rejecting the Self / 4. Denial of the Self
We have no impression of the self, and we therefore have no idea of it [Hume]
Does an oyster with one perception have a self? Would lots of perceptions change that? [Hume]
22. Metaethics / B. Value / 2. Values / g. Love
We have no natural love of mankind, other than through various relationships [Hume]
26. Natural Theory / C. Causation / 9. General Causation / a. Constant conjunction
Causation is just invariance, as long as it is described in general terms [Quine on Hume]
If impressions, memories and ideas only differ in vivacity, nothing says it is memory, or repetition [Whitehead on Hume]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / c. Essence and laws
Dispositions are not general laws, but laws of the natures of individual entities [Place]