Combining Texts

All the ideas for 'fragments/reports', 'Chemistry' and 'Logicism Revisited'

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20 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
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]
7. Existence / C. Structure of Existence / 5. Supervenience / c. Significance of supervenience
Supervenience is simply modally robust property co-variance [Hendry]
10. Modality / A. Necessity / 8. Transcendental Necessity
Everything happens by reason and necessity [Leucippus]
14. Science / D. Explanation / 2. Types of Explanation / k. Explanations by essence
Nuclear charge (plus laws) explains electron structure and spectrum, but not vice versa [Hendry]
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 / B. Natural Kinds / 2. Defining Kinds
Maybe two kinds are the same if there is no change of entropy on isothermal mixing [Hendry]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / a. Scientific essentialism
Maybe the nature of water is macroscopic, and not in the microstructure [Hendry]
The nature of an element must survive chemical change, so it is the nucleus, not the electrons [Hendry]
Maybe water is the smallest part of it that still counts as water (which is H2O molecules) [Hendry]
27. Natural Reality / F. Chemistry / 1. Chemistry
Compounds can differ with the same collection of atoms, so structure matters too [Hendry]
Water continuously changes, with new groupings of molecules [Hendry]
27. Natural Reality / F. Chemistry / 2. Modern Elements
Elements survive chemical change, and are tracked to explain direction and properties [Hendry]
Defining elements by atomic number allowed atoms of an element to have different masses [Hendry]
27. Natural Reality / F. Chemistry / 3. Periodic Table
Generally it is nuclear charge (not nuclear mass) which determines behaviour [Hendry]