Combining Texts

All the ideas for 'Lysis', 'works' and 'Aristotle's Theory of Substance'

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11 ideas

2. Reason / A. Nature of Reason / 1. On Reason
For clear questions posed by reason, reason can also find clear answers [Gödel]
5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
Gödel proved that first-order logic is complete, and second-order logic incomplete [Gödel, by Dummett]
5. Theory of Logic / I. Semantics of Logic / 2. Formal Truth
Originally truth was viewed with total suspicion, and only demonstrability was accepted [Gödel]
5. Theory of Logic / K. Features of Logics / 5. Incompleteness
Gödel's Theorems did not refute the claim that all good mathematical questions have answers [Gödel, by Koellner]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic
Gödel eventually hoped for a generalised completeness theorem leaving nothing undecidable [Gödel, by Koellner]
The real reason for Incompleteness in arithmetic is inability to define truth in a language [Gödel]
8. Modes of Existence / B. Properties / 3. Types of Properties
A 'categorial' property is had by virtue of being or having an item from a category [Wedin]
9. Objects / B. Unity of Objects / 2. Substance / d. Substance defined
Substance is a principle and a kind of cause [Wedin]
9. Objects / C. Structure of Objects / 2. Hylomorphism / a. Hylomorphism
Form explains why some matter is of a certain kind, and that is explanatory bedrock [Wedin]
22. Metaethics / C. The Good / 1. Goodness / a. Form of the Good
The good is beautiful [Plato]
23. Ethics / C. Virtue Theory / 4. External Goods / d. Friendship
People say that friendship exists only between good men [Plato]