Combining Texts

All the ideas for 'works', 'First-Order Logic' and 'Dispositions and Powers'

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25 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]
8. Modes of Existence / B. Properties / 1. Nature of Properties
Humeans see properties as having no more essential features and relations than their distinctness [Friend/Kimpton-Nye, by PG]
Dispositions are what individuate properties, and they constitute their essence [Friend/Kimpton-Nye]
8. Modes of Existence / C. Powers and Dispositions / 1. Powers
Powers are properties which necessitate dispositions [Friend/Kimpton-Nye]
8. Modes of Existence / C. Powers and Dispositions / 2. Powers as Basic
Dispositional essentialism (unlike the grounding view) says only fundamental properties are powers [Friend/Kimpton-Nye]
8. Modes of Existence / C. Powers and Dispositions / 4. Powers as Essence
A power is a property which consists entirely of dispositions [Friend/Kimpton-Nye]
Powers are qualitative properties which fully ground dispositions [Friend/Kimpton-Nye]
8. Modes of Existence / C. Powers and Dispositions / 6. Dispositions / a. Dispositions
Dispositions have directed behaviour which occurs if triggered [Friend/Kimpton-Nye]
'Masked' dispositions fail to react because something intervenes [Friend/Kimpton-Nye]
A disposition is 'altered' when the stimulus reverses the disposition [Friend/Kimpton-Nye]
A disposition is 'mimicked' if a different cause produces that effect from that stimulus [Friend/Kimpton-Nye]
A 'trick' can look like a stimulus for a disposition which will happen without it [Friend/Kimpton-Nye]
Some dispositions manifest themselves without a stimulus [Friend/Kimpton-Nye]
We could analyse dispositions as 'possibilities', with no mention of a stimulus [Friend/Kimpton-Nye]
10. Modality / E. Possible worlds / 1. Possible Worlds / e. Against possible worlds
Dispositionalism says modality is in the powers of this world, not outsourced to possible worlds [Friend/Kimpton-Nye]
26. Natural Theory / D. Laws of Nature / 7. Strictness of Laws
Hume's Dictum says no connections are necessary - so mass and spacetime warping could separate [Friend/Kimpton-Nye]
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]