Combining Texts
Ideas for
'works', 'Philosophies of Mathematics' 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 / D. Explanation / 1. Explanation / a. Explanation
|
11243
|
Aristotelian explanations are facts, while modern explanations depend on human conceptions [Aristotle, by Politis]
|
14. Science / D. Explanation / 2. Types of Explanation / a. Types of explanation
|
3320
|
Aristotle's standard analysis of species and genus involves specifying things in terms of something more general [Aristotle, by Benardete,JA]
|
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 / k. Explanations by essence
|
12000
|
Aristotle regularly says that essential properties explain other significant properties [Aristotle, by Kung]
|
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]
|