Combining Texts

All the ideas for 'Tropes', 'Nietzsche's System' and 'First-Order Logic'

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17 ideas

1. Philosophy / E. Nature of Metaphysics / 3. Metaphysical Systems
20349 Metaphysics aims at the essence of things, and a system to show how this explains other truths [Richardson]
20351 Metaphysics needs systems, because analysis just obsesses over details [Richardson]
20350 Metaphysics generalises the data, to get at the ontology [Richardson]
5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic
10282 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
10283 A formula needs an 'interpretation' of its constants, and a 'valuation' of its variables [Hodges,W]
10284 There are three different standard presentations of semantics [Hodges,W]
10285 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
10288 Down Löwenheim-Skolem: if a countable language has a consistent theory, that has a countable model [Hodges,W]
10289 Up Löwenheim-Skolem: if infinite models, then arbitrarily large models [Hodges,W]
5. Theory of Logic / K. Features of Logics / 6. Compactness
10287 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
10286 A 'set' is a mathematically well-behaved class [Hodges,W]
8. Modes of Existence / B. Properties / 13. Tropes / a. Nature of tropes
10467 Individuals consist of 'compresent' tropes [Bacon,John]
10464 A trope is a bit of a property or relation (not an exemplification or a quality) [Bacon,John]
10465 Trope theory is ontologically parsimonious, with possibly only one-category [Bacon,John]
10. Modality / E. Possible worlds / 2. Nature of Possible Worlds / a. Nature of possible worlds
10466 Maybe possible worlds are just sets of possible tropes [Bacon,John]
24. Political Theory / A. Basis of a State / 1. A People / a. Human distinctiveness
20356 Humans dominate because, unlike other animals, they have a synthesis of conflicting drives [Richardson]
26. Natural Theory / C. Causation / 7. Eliminating causation
20366 A mind that could see cause and effect as a continuum would deny cause and effect [Richardson]