Combining Texts

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

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23 ideas

2. Reason / C. Styles of Reason / 1. Dialectic
Like spiderswebs, dialectical arguments are clever but useless [Ariston, by Diog. Laertius]
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]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / f. The Mean
The chief good is indifference to what lies midway between virtue and vice [Ariston, by Diog. Laertius]
23. Ethics / D. Deontological Ethics / 1. Deontology
Ariston says rules are useless for the virtuous and the non-virtuous [Ariston, by Annas]
26. Natural Theory / C. Causation / 8. Particular Causation / a. Observation of causation
Some says mental causation is distinct because we can recognise single occurrences [Mackie]
26. Natural Theory / C. Causation / 8. Particular Causation / b. Causal relata
Mackie tries to analyse singular causal statements, but his entities are too vague for events [Kim on Mackie]
26. Natural Theory / C. Causation / 8. Particular Causation / c. Conditions of causation
Necessity and sufficiency are best suited to properties and generic events, not individual events [Kim on Mackie]
A cause is part of a wider set of conditions which suffices for its effect [Mackie, by Crane]
Necessary conditions are like counterfactuals, and sufficient conditions are like factual conditionals [Mackie]
The INUS account interprets single events, and sequences, causally, without laws being known [Mackie]
26. Natural Theory / C. Causation / 8. Particular Causation / d. Selecting the cause
A cause is an Insufficient but Necessary part of an Unnecessary but Sufficient condition [Mackie]
26. Natural Theory / C. Causation / 9. General Causation / b. Nomological causation
Mackie has a nomological account of general causes, and a subjunctive conditional account of single ones [Mackie, by Tooley]
The virus causes yellow fever, and is 'the' cause; sweets cause tooth decay, but they are not 'the' cause [Mackie]