Combining Texts

All the ideas for 'fragments/reports', 'Logicism Revisited' and 'Dispositional Essentialism Grounds Laws of Nature?'

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14 ideas

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
A statement is logically true if it comes out true in all interpretations in all (non-empty) domains [Musgrave]
Logical truths may contain non-logical notions, as in 'all men are men' [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 is a bulwark of logical positivism [Musgrave]
Formalism seems to exclude all creative, growing mathematics [Musgrave]
8. Modes of Existence / C. Powers and Dispositions / 6. Dispositions / c. Dispositions as conditional
A 'finkish' disposition is one that is lost immediately after the appropriate stimulus [Corry]
An 'antidote' allows a manifestation to begin, but then blocks it [Corry]
8. Modes of Existence / C. Powers and Dispositions / 6. Dispositions / d. Dispositions as occurrent
If a disposition is never instantiated, it shouldn't be part of our theory of nature [Corry]
14. Science / A. Basis of Science / 3. Experiment
Maybe an experiment unmasks an essential disposition, and reveals its regularities [Corry]
19. Language / A. Nature of Meaning / 5. Meaning as Verification
Logical positivists adopted an If-thenist version of logicism about numbers [Musgrave]
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
Musical performance can reveal a range of virtues [Damon of Ath.]
26. Natural Theory / D. Laws of Nature / 1. Laws of Nature
Dispositional essentialism says fundamental laws of nature are strict, not ceteris paribus [Corry]