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Timeline for Abstract thought vs calculation

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May 23, 2022 at 10:03 comment added user44143 Here the calculations are easier and more insightful than the proof by induction! The sum $1+\cdots+m$ can be grouped into $m/2$ pairs which each sum to $m+1$, so the overall sum is $(m+1)m/2$, QED. The proof by induction is easier to formalize and generalize, but it doesn’t help much in understanding this sum.
May 23, 2022 at 7:29 history edited Martin Sleziak CC BY-SA 4.0
a minor typo
Jul 1, 2010 at 23:54 history edited Joel David Hamkins CC BY-SA 2.5
Reorganzied into a better answer
Jul 1, 2010 at 23:02 history made wiki Post Made Community Wiki by François G. Dorais
Jul 1, 2010 at 21:31 history answered Joel David Hamkins CC BY-SA 2.5