Combining Texts
Ideas for
'Perception', 'Remarks on axiomatised set theory' and 'Introduction to the Philosophy of Mathematics'
expand these ideas
|
start again
|
choose
another area for these texts
display all the ideas for this combination of texts
9 ideas
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 / 1. Explanation / b. Aims of explanation
6515
|
An explanation presupposes something that is improbable unless it is explained [Robinson,H]
|
6517
|
If all possibilities are equal, order seems (a priori) to need an explanation - or does it? [Robinson,H]
|
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
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]
|
17934
|
Proof by cases (by 'exhaustion') is said to be unexplanatory [Colyvan]
|