Combining Texts

All the ideas for 'Idealism: a critical survey', 'Russell's Metaphysical Logic' and 'Knowledge First (and reply)'

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24 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]
11. Knowledge Aims / A. Knowledge / 7. Knowledge First
We don't acquire evidence and then derive some knowledge, because evidence IS knowledge [Williamson]
Knowledge is prior to believing, just as doing is prior to trying to do [Williamson]
Belief explains justification, and knowledge explains belief, so knowledge explains justification [Williamson]
A neutral state of experience, between error and knowledge, is not basic; the successful state is basic [Williamson]
Internalism about mind is an obsolete view, and knowledge-first epistemology develops externalism [Williamson]
Knowledge-first says your total evidence IS your knowledge [Williamson]
11. Knowledge Aims / C. Knowing Reality / 1. Perceptual Realism / b. Direct realism
Surely I am acquainted with physical objects, not with appearances? [Williamson]
13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / b. Pro-coherentism
We can no more expect a precise definition of coherence than we can of the moral ideal [Ewing]
13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / c. Coherentism critique
If undetailed, 'coherence' is just a vague words that covers all possible arguments [Ewing]
19. Language / C. Assigning Meanings / 2. Semantics
How does inferentialism distinguish the patterns of inference that are essential to meaning? [Williamson]
Internalist inferentialism has trouble explaining how meaning and reference relate [Williamson]
Inferentialist semantics relies on internal inference relations, not on external references [Williamson]
19. Language / C. Assigning Meanings / 7. Extensional Semantics
Truth-conditional referential semantics is externalist, referring to worldly items [Williamson]