Combining Philosophers

Ideas for Anaxarchus, Mark Colyvan and John Heil

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10 ideas

14. Science / B. Scientific Theories / 1. Scientific Theory
If the world is theory-dependent, the theories themselves can't be theory-dependent [Heil]
14. Science / B. Scientific Theories / 2. Aim of Science
Science is sometimes said to classify powers, neglecting qualities [Heil]
14. Science / C. Induction / 6. Bayes's Theorem
Probability supports Bayesianism better as degrees of belief than as ratios of frequencies [Colyvan]
14. Science / D. Explanation / 2. Types of Explanation / e. Lawlike explanations
Mathematics can reveal structural similarities in diverse systems [Colyvan]
14. Science / D. Explanation / 2. Types of Explanation / f. Necessity in explanations
Mathematics can show why some surprising events have to occur [Colyvan]
14. Science / D. Explanation / 2. Types of Explanation / j. Explanations by reduction
One form of explanation is by decomposition [Heil]
14. Science / D. Explanation / 2. Types of Explanation / m. Explanation by proof
Reductio proofs do not seem to be very explanatory [Colyvan]
If inductive proofs hold because of the structure of natural numbers, they may explain theorems [Colyvan]
Can a proof that no one understands (of the four-colour theorem) really be a proof? [Colyvan]
Proof by cases (by 'exhaustion') is said to be unexplanatory [Colyvan]