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Results tagged with induction
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user 1550
1
vote
Is there any example of a "forwards/backwards" induction?
I am not a fan of the so-called "Cauchy induction" mentioned in the other answer, for the reasons mentioned in my comment there. … It definitely is impossible for anyone who is familiar with an FOL deductive system to be unable to understand induction properly, as it is completely obvious what exactly induction means from the nature …
- 2,794
15
votes
Why are induction proofs so challenging for students?
possibly know what they understand or do not understand about induction. … Notes (only for the teacher, not the student learning induction!) …
- 2,794
25
votes
Why are induction proofs so challenging for students?
For CS students specifically, there is another approach that would work better than the usual way induction is taught, namely by teaching structural induction, which goes like this:
If you want to prove … This doesn't solve the problem of not understanding the logical underpinnings of induction, but at least it solves the problem of using induction wrongly. …
- 2,794
4
votes
Good, simple examples of induction?
It would also be instructive to try and minimize the number of times the induction axiom is used. (But no, I won't suggest that one should also try to prove this minimum. =P) …
- 2,794
13
votes
Good, simple examples of induction?
This problem is just the right difficulty and can ensure that students really understand what induction is. …
- 2,794