Combining Texts

All the ideas for 'Purifications (frags)', 'Philosophy of Chemistry' and 'Mathematics without Foundations'

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17 ideas

4. Formal Logic / F. Set Theory ST / 3. Types of Set / d. Infinite Sets
We understand some statements about all sets [Putnam]
6. Mathematics / B. Foundations for Mathematics / 1. Foundations for Mathematics
I do not believe mathematics either has or needs 'foundations' [Putnam]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / a. Axioms for numbers
It is conceivable that the axioms of arithmetic or propositional logic might be changed [Putnam]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism
Maybe mathematics is empirical in that we could try to change it [Putnam]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / b. Indispensability of mathematics
Science requires more than consistency of mathematics [Putnam]
7. Existence / D. Theories of Reality / 4. Anti-realism
You can't deny a hypothesis a truth-value simply because we may never know it! [Putnam]
14. Science / D. Explanation / 2. Types of Explanation / i. Explanations by mechanism
Using mechanisms as explanatory schemes began in chemistry [Weisberg/Needham/Hendry]
Thick mechanisms map whole reactions, and thin mechanism chart the steps [Weisberg/Needham/Hendry]
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / f. Ancient elements
Lavoisier's elements included four types of earth [Weisberg/Needham/Hendry]
27. Natural Reality / F. Chemistry / 1. Chemistry
Over 100,000,000 compounds have been discovered or synthesised [Weisberg/Needham/Hendry]
Water molecules dissociate, and form large polymers, explaining its properties [Weisberg/Needham/Hendry]
It is unlikely that chemistry will ever be reduced to physics [Weisberg/Needham/Hendry]
Quantum theory won't tell us which structure a set of atoms will form [Weisberg/Needham/Hendry]
For temperature to be mean kinetic energy, a state of equilibrium is also required [Weisberg/Needham/Hendry]
'H2O' just gives the element proportions, not the microstructure [Weisberg/Needham/Hendry]
27. Natural Reality / F. Chemistry / 2. Modern Elements
Isotopes (such as those of hydrogen) can vary in their rates of chemical reaction [Weisberg/Needham/Hendry]
27. Natural Reality / F. Chemistry / 3. Periodic Table
Mendeleev systematised the elements, and also gave an account of their nature [Weisberg/Needham/Hendry]