Combining Texts

All the ideas for 'fragments/reports', 'Russell's Metaphysical Logic' and 'Virtue Ethics: an Introduction'

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21 ideas

2. Reason / D. Definition / 8. Impredicative Definition
'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
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
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
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
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
Higher types are needed to distinguished intensional phenomena which are coextensive [Linsky,B]
Types are 'ramified' when there are further differences between the type of quantifier and its range [Linsky,B]
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
Did logicism fail, when Russell added three nonlogical axioms, to save mathematics? [Linsky,B]
For those who abandon logicism, standard set theory is a rival option [Linsky,B]
8. Modes of Existence / B. Properties / 11. Properties as Sets
Construct properties as sets of objects, or say an object must be in the set to have the property [Linsky,B]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / d. Ethical theory
Kant and Mill both try to explain right and wrong, without a divine lawgiver [Taylor,R]
Morality based on 'forbid', 'permit' and 'require' implies someone who does these things [Taylor,R]
22. Metaethics / C. The Good / 2. Happiness / a. Nature of happiness
Pleasure can have a location, and be momentary, and come and go - but happiness can't [Taylor,R]
22. Metaethics / C. The Good / 2. Happiness / b. Eudaimonia
'Eudaimonia' means 'having a good demon', implying supreme good fortune [Taylor,R]
23. Ethics / C. Virtue Theory / 1. Virtue Theory / b. Basis of virtue
To Greeks it seemed obvious that the virtue of anything is the perfection of its function [Taylor,R]
23. Ethics / D. Deontological Ethics / 1. Deontology
The modern idea of obligation seems to have lost the idea of an obligation 'to' something [Taylor,R]
23. Ethics / D. Deontological Ethics / 2. Duty
The ethics of duty requires a religious framework [Taylor,R]
If we are made in God's image, pursuit of excellence is replaced by duty to obey God [Taylor,R]
25. Social Practice / E. Policies / 5. Education / b. Education principles
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
Time is an interval of motion, or the measure of speed [Posidonius, by Stobaeus]