Combining Philosophers

All the ideas for Proclus, Diogenes (Bab) and Bernard Linsky

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18 ideas

2. Reason / D. Definition / 7. Contextual Definition
18776 Contextual definitions eliminate descriptions from contexts [Linsky,B]
2. Reason / D. Definition / 8. Impredicative Definition
21704 'Impredictative' definitions fix a class in terms of the greater class to which it belongs [Linsky,B]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / p. Axiom of Reducibility
21705 Reducibility says any impredicative function has an appropriate predicative replacement [Linsky,B]
5. Theory of Logic / F. Referring in Logic / 2. Descriptions / b. Definite descriptions
18774 Definite descriptions, unlike proper names, have a logical structure [Linsky,B]
5. Theory of Logic / F. Referring in Logic / 2. Descriptions / c. Theory of definite descriptions
21727 Definite descriptions theory eliminates the King of France, but not the Queen of England [Linsky,B]
5. Theory of Logic / I. Semantics of Logic / 5. Extensionalism
21719 Extensionalism means what is true of a function is true of coextensive functions [Linsky,B]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
21723 The task of logicism was to define by logic the concepts 'number', 'successor' and '0' [Linsky,B]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / b. Type theory
21721 Higher types are needed to distinguished intensional phenomena which are coextensive [Linsky,B]
21703 Types are 'ramified' when there are further differences between the type of quantifier and its range [Linsky,B]
21714 The ramified theory subdivides each type, according to the range of the variables [Linsky,B]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
21713 Did logicism fail, when Russell added three nonlogical axioms, to save mathematics? [Linsky,B]
21715 For those who abandon logicism, standard set theory is a rival option [Linsky,B]
8. Modes of Existence / B. Properties / 11. Properties as Sets
21729 Construct properties as sets of objects, or say an object must be in the set to have the property [Linsky,B]
14. Science / D. Explanation / 2. Types of Explanation / g. Causal explanations
13165 Geometrical proofs do not show causes, as when we prove a triangle contains two right angles [Proclus]
18. Thought / E. Abstraction / 1. Abstract Thought
9569 The origin of geometry started in sensation, then moved to calculation, and then to reason [Proclus]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / k. Ethics from nature
6000 The goal is rationality in the selection of things according to nature [Diogenes of Babylon, by Blank]
22. Metaethics / C. The Good / 1. Goodness / a. Form of the Good
5999 The good is what is perfect by nature [Diogenes of Babylon, by Blank]
23. Ethics / C. Virtue Theory / 3. Virtues / c. Justice
6001 Justice is a disposition to distribute according to desert [Diogenes of Babylon, by Blank]