Combining Texts

All the ideas for 'Community and Citizenship', 'The Philosophy of Mathematics' and 'Natural Minds'

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


15 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 / 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]
12. Knowledge Sources / B. Perception / 2. Qualities in Perception / d. Secondary qualities
The taste of chocolate is a 'finer-grained' sensation than the taste of sweetness [Polger]
16. Persons / B. Nature of the Self / 1. Self and Consciousness
The mind and the self are one, and the mind-self is a biological phenomenon [Polger]
17. Mind and Body / C. Functionalism / 5. Teleological Functionalism
Teleological functions explain why a trait exists; causal-role functions say what it does [Polger]
17. Mind and Body / E. Mind as Physical / 1. Physical Mind
Identity theory says consciousness is an abstraction: a state, event, process or property [Polger]
24. Political Theory / B. Nature of a State / 4. Citizenship
Citizenship involves a group of mutually supporting rights, which create community and equality [Miller,D]
24. Political Theory / D. Ideologies / 14. Nationalism
Socialists reject nationality as a false source of identity [Miller,D]
26. Natural Theory / A. Speculations on Nature / 3. Natural Function
A mummified heart has the teleological function of circulating blood [Polger]
Teleological notions of function say what a thing is supposed to do [Polger]