Combining Texts

All the ideas for 'Mr Strawson on Logical Theory', 'Natural Minds' and 'The Philosophy of Mathematics'

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23 ideas

1. Philosophy / E. Nature of Metaphysics / 4. Metaphysics as Science
22438 Philosophy is largely concerned with finding the minimum that science could get by with [Quine]
1. Philosophy / F. Analytic Philosophy / 6. Logical Analysis
22436 Logicians don't paraphrase logic into language, because they think in the symbolic language [Quine]
2. Reason / B. Laws of Thought / 6. Ockham's Razor
22431 Good algorithms and theories need many occurrences of just a few elements [Quine]
4. Formal Logic / B. Propositional Logic PL / 2. Tools of Propositional Logic / a. Symbols of PL
22435 The logician's '→' does not mean the English if-then [Quine]
4. Formal Logic / D. Modal Logic ML / 6. Temporal Logic
22433 It is important that the quantification over temporal entities is timeless [Quine]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
9193 ZF set theory has variables which range over sets, 'equals' and 'member', and extensionality [Dummett]
9194 The main alternative to ZF is one which includes looser classes as well as sets [Dummett]
5. Theory of Logic / C. Ontology of Logic / 1. Ontology of Logic
22437 Logical languages are rooted in ordinary language, and that connection must be kept [Quine]
5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle
9195 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
22434 Reduction to logical forms first simplifies idioms and grammar, then finds a single reading of it [Quine]
5. Theory of Logic / G. Quantification / 5. Second-Order Quantification
9186 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
9187 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
9191 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
9192 The number 4 has different positions in the naturals and the wholes, with the same structure [Dummett]
10. Modality / B. Possibility / 8. Conditionals / e. Supposition conditionals
22432 Normally conditionals have no truth value; it is the consequent which has a conditional truth value [Quine]
12. Knowledge Sources / B. Perception / 2. Qualities in Perception / d. Secondary qualities
6375 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
6381 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
6378 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
6380 Identity theory says consciousness is an abstraction: a state, event, process or property [Polger]
19. Language / A. Nature of Meaning / 4. Meaning as Truth-Conditions
22430 If we understand a statement, we know the circumstances of its truth [Quine]
26. Natural Theory / A. Speculations on Nature / 3. Natural Function
6379 A mummified heart has the teleological function of circulating blood [Polger]
6377 Teleological notions of function say what a thing is supposed to do [Polger]
27. Natural Reality / D. Time / 2. Passage of Time / f. Tenseless (B) series
13713 Quine holds time to be 'space-like': past objects are as real as spatially remote ones [Quine, by Sider]