Sunday, June 05, 2005
What math has taught him
Sam Hughes is the author of the Venn Diagram cited in my previous post. I also recommend his list of “Things mathematics has taught me”:
- That there are such things as unanswerable questions — indeed, provably unanswerable questions
- That Occam’s Razor is fallible
- To assume nothing
- That the word “obvious” means “a proof springs immediately to mind”
- The importance of proof
- How to reason logically
- To reason logically
- How to recognise faulty reasoning and find counterexamples
- That intuition counts for zilch
- Point nine recurring equals one
Labels: math, teaching and learning
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