The keyword here is that it “precedes”, not makes do without logic. I would be interesting to know, how you see the new elegant proof of the same theorem as?
When we do mathematics -- much like when we speak or write -- the high-level shape of what we are expressing precedes the low-level detail of its expression (whether grammar or logic)pic.twitter.com/Vg4p5PWMIc
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Cool anecdote
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Interesting to see this. The mathematical expressions were initially brought to have an understanding among mathematicians from all over the world who don't speak the same language. However, times have changed - and 'Clarity' over 'Brevity' takes precedence!
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Abstract thinking is a skill that becomes better with practice
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How many times do I have to re-read this ?
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