Combining Philosophers

All the ideas for Antiphon, Weisberg/Needham/Hendry and Michael D. Resnik

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23 ideas

4. Formal Logic / B. Propositional Logic PL / 2. Tools of Propositional Logic / e. Axioms of PL
Axioms are often affirmed simply because they produce results which have been accepted [Resnik]
6. Mathematics / A. Nature of Mathematics / 1. Mathematics
Mathematical realism says that maths exists, is largely true, and is independent of proofs [Resnik]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
Mathematical constants and quantifiers only exist as locations within structures or patterns [Resnik]
Sets are positions in patterns [Resnik]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / d. Platonist structuralism
There are too many mathematical objects for them all to be mental or physical [Resnik]
Maths is pattern recognition and representation, and its truth and proofs are based on these [Resnik]
Congruence is the strongest relationship of patterns, equivalence comes next, and mutual occurrence is the weakest [Resnik]
Structuralism must explain why a triangle is a whole, and not a random set of points [Resnik]
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]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / j. Ethics by convention
We should follow the law in public, and nature in private [Antiphon]
To gain the greatest advantage only treat law as important when other people are present [Antiphon]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / e. Character
The way you spend your time will form your character [Antiphon]
24. Political Theory / D. Ideologies / 2. Anarchism
Nothing is worse for mankind than anarchy [Antiphon]
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]
'H2O' just gives the element proportions, not the microstructure [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]
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]