Combining Philosophers

All the ideas for Lynch,MP/Glasgow,JM, Weisberg/Needham/Hendry and Richard G. Heck

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26 ideas

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / a. Numbers
17453 The meaning of a number isn't just the numerals leading up to it [Heck]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / f. Cardinal numbers
17457 A basic grasp of cardinal numbers needs an understanding of equinumerosity [Heck]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
17448 In counting, numerals are used, not mentioned (as objects that have to correlated) [Heck]
17455 Is counting basically mindless, and independent of the cardinality involved? [Heck]
17456 Counting is the assignment of successively larger cardinal numbers to collections [Heck]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / e. Counting by correlation
17450 Understanding 'just as many' needn't involve grasping one-one correspondence [Heck]
17451 We can know 'just as many' without the concepts of equinumerosity or numbers [Heck]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
17459 Frege's Theorem explains why the numbers satisfy the Peano axioms [Heck]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism
17454 Children can use numbers, without a concept of them as countable objects [Heck]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
17458 Equinumerosity is not the same concept as one-one correspondence [Heck]
17449 We can understand cardinality without the idea of one-one correspondence [Heck]
7. Existence / C. Structure of Existence / 3. Levels of Reality
16062 A necessary relation between fact-levels seems to be a further irreducible fact [Lynch/Glasgow]
7. Existence / C. Structure of Existence / 5. Supervenience / c. Significance of supervenience
16061 If some facts 'logically supervene' on some others, they just redescribe them, adding nothing [Lynch/Glasgow]
7. Existence / D. Theories of Reality / 6. Physicalism
16060 Nonreductive materialism says upper 'levels' depend on lower, but don't 'reduce' [Lynch/Glasgow]
16064 The hallmark of physicalism is that each causal power has a base causal power under it [Lynch/Glasgow]
14. Science / D. Explanation / 2. Types of Explanation / i. Explanations by mechanism
17471 Using mechanisms as explanatory schemes began in chemistry [Weisberg/Needham/Hendry]
17472 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
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]