Combining Texts

All the ideas for 'The Evolution of Modern Metaphysics', 'Essence, Necessity and Explanation' and 'First-Order Logic'

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19 ideas

1. Philosophy / E. Nature of Metaphysics / 1. Nature of Metaphysics
21959 Metaphysics is the most general attempt to make sense of things [Moore,AW]
2. Reason / D. Definition / 4. Real Definition
15118 A successful Aristotelian 'definition' is what sciences produces after an investigation [Koslicki]
2. Reason / D. Definition / 6. Definition by Essence
15116 Essences cause necessary features, and definitions describe those necessary features [Koslicki]
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]
9. Objects / D. Essence of Objects / 1. Essences of Objects
15110 An essence and what merely follow from it are distinct [Koslicki]
9. Objects / D. Essence of Objects / 3. Individual Essences
15113 Individuals are perceived, but demonstration and definition require universals [Koslicki]
9. Objects / D. Essence of Objects / 7. Essence and Necessity / c. Essentials are necessary
15112 If an object exists, then its essential properties are necessary [Koslicki]
11. Knowledge Aims / C. Knowing Reality / 3. Idealism / b. Transcendental idealism
21958 Appearances are nothing beyond representations, which is transcendental ideality [Moore,AW]
14. Science / A. Basis of Science / 2. Demonstration
15111 In demonstration, the explanatory order must mirror the causal order of the phenomena [Koslicki]
15115 In a demonstration the middle term explains, by being part of the definition [Koslicki]
14. Science / D. Explanation / 2. Types of Explanation / g. Causal explanations
15117 Greek uses the same word for 'cause' and 'explanation' [Koslicki]
14. Science / D. Explanation / 2. Types of Explanation / k. Explanations by essence
15114 Discovering the Aristotelian essence of thunder will tell us why thunder occurs [Koslicki]