Combining Philosophers

All the ideas for Dougherty,T/Rysiew,P, Weisberg/Needham/Hendry and Thoralf Skolem

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22 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
17879 Axiomatising set theory makes it all relative [Skolem]
4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory
13536 Skolem did not believe in the existence of uncountable sets [Skolem]
5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems
17878 If a 1st-order proposition is satisfied, it is satisfied in a denumerably infinite domain [Skolem]
6. Mathematics / B. Foundations for Mathematics / 1. Foundations for Mathematics
17880 Integers and induction are clear as foundations, but set-theory axioms certainly aren't [Skolem]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism
17881 Mathematician want performable operations, not propositions about objects [Skolem]
11. Knowledge Aims / A. Knowledge / 2. Understanding
19542 It is nonsense that understanding does not involve knowledge; to understand, you must know [Dougherty/Rysiew]
19543 To grasp understanding, we should be more explicit about what needs to be known [Dougherty/Rysiew]
11. Knowledge Aims / A. Knowledge / 7. Knowledge First
19541 Rather than knowledge, our epistemic aim may be mere true belief, or else understanding and wisdom [Dougherty/Rysiew]
13. Knowledge Criteria / A. Justification Problems / 1. Justification / a. Justification issues
19540 Don't confuse justified belief with justified believers [Dougherty/Rysiew]
13. Knowledge Criteria / A. Justification Problems / 1. Justification / b. Need for justification
19539 If knowledge is unanalysable, that makes justification more important [Dougherty/Rysiew]
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]
19. Language / C. Assigning Meanings / 2. Semantics
19538 Entailment is modelled in formal semantics as set inclusion (where 'mammals' contains 'cats') [Dougherty/Rysiew]
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]