Combining Texts

All the ideas for 'Folk Psychology', 'On Second-Order Logic' and 'Truth by Convention'

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20 ideas

1. Philosophy / F. Analytic Philosophy / 6. Logical Analysis
8996 If if time is money then if time is not money then time is money then if if if time is not money... [Quine]
2. Reason / D. Definition / 7. Contextual Definition
8995 Definition by words is determinate but relative; fixing contexts could make it absolute [Quine]
5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
14249 Boolos reinterprets second-order logic as plural logic [Boolos, by Oliver/Smiley]
10830 Second-order logic metatheory is set-theoretic, and second-order validity has set-theoretic problems [Boolos]
5. Theory of Logic / C. Ontology of Logic / 1. Ontology of Logic
10829 A sentence can't be a truth of logic if it asserts the existence of certain sets [Boolos]
5. Theory of Logic / C. Ontology of Logic / 3. If-Thenism
10064 Quine quickly dismisses If-thenism [Quine, by Musgrave]
5. Theory of Logic / C. Ontology of Logic / 4. Logic by Convention
20296 Logic needs general conventions, but that needs logic to apply them to individual cases [Quine, by Rey]
8998 Claims that logic and mathematics are conventional are either empty, uninteresting, or false [Quine]
8999 Logic isn't conventional, because logic is needed to infer logic from conventions [Quine]
9000 If a convention cannot be communicated until after its adoption, what is its role? [Quine]
5. Theory of Logic / G. Quantification / 2. Domain of Quantification
10832 '∀x x=x' only means 'everything is identical to itself' if the range of 'everything' is fixed [Boolos]
5. Theory of Logic / K. Features of Logics / 4. Completeness
10834 Weak completeness: if it is valid, it is provable. Strong: it is provable from a set of sentences [Boolos]
5. Theory of Logic / K. Features of Logics / 6. Compactness
13841 Why should compactness be definitive of logic? [Boolos, by Hacking]
6. Mathematics / A. Nature of Mathematics / 2. Geometry
8994 If analytic geometry identifies figures with arithmetical relations, logicism can include geometry [Quine]
6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry
8997 There are four different possible conventional accounts of geometry [Quine]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / e. Peano arithmetic 2nd-order
10833 Many concepts can only be expressed by second-order logic [Boolos]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
8993 If mathematics follows from definitions, then it is conventional, and part of logic [Quine]
18. Thought / A. Modes of Thought / 4. Folk Psychology
7518 If folk psychology gives a network of causal laws, that fits neatly with functionalism [Churchland,PM]
7519 Many mental phenomena are totally unexplained by folk psychology [Churchland,PM]
7520 Folk psychology never makes any progress, and is marginalised by modern science [Churchland,PM]