Combining Texts

All the ideas for 'Logicism Revisited', 'Spinoza's Ethics' and 'The Human Body is a sort of Machine'

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11 ideas

1. Philosophy / B. History of Ideas / 5. Later European Thought
Only in the 1780s did it become acceptable to read Spinoza [Lord]
5. Theory of Logic / C. Ontology of Logic / 3. If-Thenism
The If-thenist view only seems to work for the axiomatised portions of mathematics [Musgrave]
Perhaps If-thenism survives in mathematics if we stick to first-order logic [Musgrave]
5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth
Logical truths may contain non-logical notions, as in 'all men are men' [Musgrave]
A statement is logically true if it comes out true in all interpretations in all (non-empty) domains [Musgrave]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
No two numbers having the same successor relies on the Axiom of Infinity [Musgrave]
6. Mathematics / C. Sources of Mathematics / 7. Formalism
Formalism seems to exclude all creative, growing mathematics [Musgrave]
Formalism is a bulwark of logical positivism [Musgrave]
15. Nature of Minds / C. Capacities of Minds / 10. Conatus/Striving
Hobbes and Spinoza use 'conatus' to denote all endeavour for advantage in nature [Lord]
19. Language / A. Nature of Meaning / 5. Meaning as Verification
Logical positivists adopted an If-thenist version of logicism about numbers [Musgrave]
26. Natural Theory / A. Speculations on Nature / 2. Natural Purpose / b. Limited purposes
A machine is best defined by its final cause, which explains the roles of the parts [Leibniz]