Combining Philosophers

All the ideas for H.Putnam/P.Oppenheim, Michael Hallett and Samir Okasha

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16 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
17833 The first-order ZF axiomatisation is highly non-categorical [Hallett,M]
17834 Non-categoricity reveals a sort of incompleteness, with sets existing that the axioms don't reveal [Hallett,M]
4. Formal Logic / F. Set Theory ST / 7. Natural Sets
17837 Zermelo allows ur-elements, to enable the widespread application of set-theory [Hallett,M]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / g. Continuum Hypothesis
17836 The General Continuum Hypothesis and its negation are both consistent with ZF [Hallett,M]
7. Existence / C. Structure of Existence / 2. Reduction
22180 Multiple realisability is said to make reduction impossible [Okasha]
14. Science / A. Basis of Science / 3. Experiment
22172 Not all sciences are experimental; astronomy relies on careful observation [Okasha]
22177 Randomised Control Trials have a treatment and a control group, chosen at random [Okasha]
14. Science / A. Basis of Science / 6. Falsification
22174 The discoverers of Neptune didn't change their theory because of an anomaly [Okasha]
22175 Science mostly aims at confirming theories, rather than falsifying them [Okasha]
14. Science / B. Scientific Theories / 1. Scientific Theory
22182 Theories with unobservables are underdetermined by the evidence [Okasha]
14. Science / B. Scientific Theories / 5. Commensurability
22185 Two things can't be incompatible if they are incommensurable [Okasha]
14. Science / C. Induction / 1. Induction
22176 Induction is inferences from examined to unexamined instances of a given kind [Okasha]
14. Science / C. Induction / 6. Bayes's Theorem
22178 If the rules only concern changes of belief, and not the starting point, absurd views can look ratiional [Okasha]
14. Science / D. Explanation / 2. Types of Explanation / j. Explanations by reduction
20653 Six reduction levels: groups, lives, cells, molecules, atoms, particles [Putnam/Oppenheim, by Watson]
27. Natural Reality / A. Classical Physics / 1. Mechanics / b. Laws of motion
22173 Galileo refuted the Aristotelian theory that heavier objects fall faster [Okasha]
27. Natural Reality / G. Biology / 5. Species
17366 Virtually all modern views of speciation rest on relational rather than intrinsic features [Okasha]