Combining Texts

Ideas for 'The Advancement of Learning', 'Against Euthanasia' and 'Introduction to the Philosophy of Mathematics'

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9 ideas

14. Science / A. Basis of Science / 3. Experiment

12117

Science moves up and down between inventions of causes, and experiments [Bacon]

14. Science / B. Scientific Theories / 5. Commensurability

12127

Many different theories will fit the observed facts [Bacon]

14. Science / C. Induction / 6. Bayes's Theorem

17943

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

17939

Mathematics can reveal structural similarities in diverse systems [Colyvan]

14. Science / D. Explanation / 2. Types of Explanation / f. Necessity in explanations

17938

Mathematics can show why some surprising events have to occur [Colyvan]

14. Science / D. Explanation / 2. Types of Explanation / m. Explanation by proof

17934

Proof by cases (by 'exhaustion') is said to be unexplanatory [Colyvan]

17933

Reductio proofs do not seem to be very explanatory [Colyvan]

17935

If inductive proofs hold because of the structure of natural numbers, they may explain theorems [Colyvan]

17942

Can a proof that no one understands (of the four-colour theorem) really be a proof? [Colyvan]