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Ideas of Alan Musgrave, by Text

[New Zealand, fl. 1993, At the University of Otago, NZ.]

1977 Logicism Revisited
§3 p.105 Logical truths may contain non-logical notions, as in 'all men are men'
§3 p.106 A statement is logically true if it comes out true in all interpretations in all (non-empty) domains
§4 p.113 Logical positivists adopted an If-thenist version of logicism about numbers
§4 n p.112 No two numbers having the same successor relies on the Axiom of Infinity
§5 p.119 Formalism seems to exclude all creative, growing mathematics
§5 p.119 The If-thenist view only seems to work for the axiomatised portions of mathematics
§5 p.120 Formalism is a bulwark of logical positivism
§5 p.124 Perhaps If-thenism survives in mathematics if we stick to first-order logic