Combining Texts

All the ideas for 'On Referring', 'When Does a Life Begin?' and 'The Philosophy of Mathematics'

expand these ideas     |    start again     |     specify just one area for these texts


18 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
ZF set theory has variables which range over sets, 'equals' and 'member', and extensionality [Dummett]
The main alternative to ZF is one which includes looser classes as well as sets [Dummett]
5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle
Intuitionists reject excluded middle, not for a third value, but for possibility of proof [Dummett]
5. Theory of Logic / E. Structures of Logic / 1. Logical Form
There are no rules for the exact logic of ordinary language, because that doesn't exist [Strawson,P]
5. Theory of Logic / F. Referring in Logic / 2. Descriptions / c. Theory of definite descriptions
'The present King of France is bald' presupposes existence, rather than stating it [Strawson,P, by Grayling]
Russell asks when 'The King of France is wise' would be a true assertion [Strawson,P]
5. Theory of Logic / G. Quantification / 5. Second-Order Quantification
First-order logic concerns objects; second-order adds properties, kinds, relations and functions [Dummett]
5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth
Logical truths and inference are characterized either syntactically or semantically [Dummett]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / c. Priority of numbers
Ordinals seem more basic than cardinals, since we count objects in sequence [Dummett]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique
The number 4 has different positions in the naturals and the wholes, with the same structure [Dummett]
19. Language / A. Nature of Meaning / 6. Meaning as Use
The meaning of an expression or sentence is general directions for its use, to refer or to assert [Strawson,P]
19. Language / B. Reference / 3. Direct Reference / c. Social reference
Reference is mainly a social phenomenon [Strawson,P, by Sainsbury]
19. Language / B. Reference / 4. Descriptive Reference / b. Reference by description
If an expression can refer to anything, it may still instrinsically refer, but relative to a context [Bach on Strawson,P]
19. Language / B. Reference / 5. Speaker's Reference
Expressions don't refer; people use expressions to refer [Strawson,P]
If an utterance fails to refer then it is a pseudo-use, though a speaker may think they assert something [Strawson,P]
25. Social Practice / F. Life Issues / 3. Abortion
I may exist before I become a person, just as I exist before I become an adult [Lockwood]
If the soul is held to leave the body at brain-death, it should arrive at the time of brain-creation [Lockwood]
It isn't obviously wicked to destroy a potential human being (e.g. an ununited egg and sperm) [Lockwood]