Combining Texts

All the ideas for 'fragments/reports', 'Russell's Metaphysical Logic' and 'Equality'

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21 ideas

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 / 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]
23. Ethics / D. Deontological Ethics / 3. Universalisability
3282 The general form of moral reasoning is putting yourself in other people's shoes [Nagel]
24. Political Theory / A. Basis of a State / 4. Original Position / c. Difference principle
3278 An egalitarian system must give priority to those with the worst prospects in life [Nagel]
25. Social Practice / B. Equalities / 1. Grounds of equality
3275 Equality was once opposed to aristocracy, but now it opposes public utility and individual rights [Nagel]
3281 The ideal of acceptability to each individual underlies the appeal to equality [Nagel]
3277 In judging disputes, should we use one standard, or those of each individual? [Nagel]
25. Social Practice / B. Equalities / 2. Political equality
3274 Equality can either be defended as good for society, or as good for individual rights [Nagel]
3273 Equality nowadays is seen as political, social, legal and economic [Nagel]
25. Social Practice / C. Rights / 1. Basis of Rights
3276 A morality of rights is very minimal, leaving a lot of human life without restrictions or duties [Nagel]
25. Social Practice / E. Policies / 5. Education / b. Education principles
13304 Learned men gain more in one day than others do in a lifetime [Posidonius]
27. Natural Reality / D. Time / 1. Nature of Time / d. Time as measure
20820 Time is an interval of motion, or the measure of speed [Posidonius, by Stobaeus]