Combining Philosophers

All the ideas for Weisberg/Needham/Hendry, J.G. Hamann and Peter Koellner

expand these ideas     |    start again     |     specify just one area for these philosophers

19 ideas

4. Formal Logic / F. Set Theory ST / 1. Set Theory
17884 Mathematical set theory has many plausible stopping points, such as finitism, and predicativism [Koellner]
17893 'Reflection principles' say the whole truth about sets can't be captured [Koellner]
5. Theory of Logic / K. Features of Logics / 5. Incompleteness
17894 We have no argument to show a statement is absolutely undecidable [Koellner]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / i. Cardinal infinity
17890 There are at least eleven types of large cardinal, of increasing logical strength [Koellner]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
17887 PA is consistent as far as we can accept, and we expand axioms to overcome limitations [Koellner]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic
17891 Arithmetical undecidability is always settled at the next stage up [Koellner]
11. Knowledge Aims / A. Knowledge / 4. Belief / d. Cause of beliefs
20945 Belief is no more rational than is tasting and smelling [Hamann]
14. Science / D. Explanation / 2. Types of Explanation / i. Explanations by mechanism
17472 Thick mechanisms map whole reactions, and thin mechanism chart the steps [Weisberg/Needham/Hendry]
17471 Using mechanisms as explanatory schemes began in chemistry [Weisberg/Needham/Hendry]
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / f. Ancient elements
17465 Lavoisier's elements included four types of earth [Weisberg/Needham/Hendry]
27. Natural Reality / F. Chemistry / 1. Chemistry
17468 Over 100,000,000 compounds have been discovered or synthesised [Weisberg/Needham/Hendry]
17470 Water molecules dissociate, and form large polymers, explaining its properties [Weisberg/Needham/Hendry]
17473 It is unlikely that chemistry will ever be reduced to physics [Weisberg/Needham/Hendry]
17474 Quantum theory won't tell us which structure a set of atoms will form [Weisberg/Needham/Hendry]
17475 For temperature to be mean kinetic energy, a state of equilibrium is also required [Weisberg/Needham/Hendry]
17469 'H2O' just gives the element proportions, not the microstructure [Weisberg/Needham/Hendry]
27. Natural Reality / F. Chemistry / 2. Modern Elements
17467 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
17466 Mendeleev systematised the elements, and also gave an account of their nature [Weisberg/Needham/Hendry]
28. God / A. Divine Nature / 2. Divine Nature
7666 God is not a mathematician, but a poet [Hamann, by Berlin]