Combining Texts

All the ideas for 'Explanation: the state of play', 'Essence, Necessity and Explanation' and 'Remarks on axiomatised set theory'

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16 ideas

2. Reason / D. Definition / 4. Real Definition
A successful Aristotelian 'definition' is what sciences produces after an investigation [Koslicki]
2. Reason / D. Definition / 6. Definition by Essence
Essences cause necessary features, and definitions describe those necessary features [Koslicki]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
Axiomatising set theory makes it all relative [Skolem]
5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems
If a 1st-order proposition is satisfied, it is satisfied in a denumerably infinite domain [Skolem]
6. Mathematics / B. Foundations for Mathematics / 1. Foundations for Mathematics
Integers and induction are clear as foundations, but set-theory axioms certainly aren't [Skolem]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism
Mathematician want performable operations, not propositions about objects [Skolem]
9. Objects / D. Essence of Objects / 1. Essences of Objects
An essence and what merely follow from it are distinct [Koslicki]
9. Objects / D. Essence of Objects / 3. Individual Essences
Individuals are perceived, but demonstration and definition require universals [Koslicki]
9. Objects / D. Essence of Objects / 7. Essence and Necessity / c. Essentials are necessary
If an object exists, then its essential properties are necessary [Koslicki]
14. Science / A. Basis of Science / 2. Demonstration
In demonstration, the explanatory order must mirror the causal order of the phenomena [Koslicki]
In a demonstration the middle term explains, by being part of the definition [Koslicki]
14. Science / D. Explanation / 1. Explanation / b. Aims of explanation
Audience-relative explanation, or metaphysical explanation based on information? [Stanford]
Explanation is for curiosity, control, understanding, to make meaningful, or to give authority [Stanford]
14. Science / D. Explanation / 2. Types of Explanation / g. Causal explanations
Greek uses the same word for 'cause' and 'explanation' [Koslicki]
14. Science / D. Explanation / 2. Types of Explanation / j. Explanations by reduction
We can explain by showing constitution, as well as showing causes [Stanford]
14. Science / D. Explanation / 2. Types of Explanation / k. Explanations by essence
Discovering the Aristotelian essence of thunder will tell us why thunder occurs [Koslicki]