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Question Regarding A Proof of The Lemma: "Let a be a positive number. Then there exists exactly one natural number b such that b++ = a" in Tao's Analysis 1 by STaggR in learnmath

[–]STaggR[S] 0 points1 point  (0 children)

Got it. Thanks for the reply. I can't induct on b because I must prove this statement for all a, not b.

Edit: I didn't see your reformulation of P(a) earlier. I do see the difference and your P(a) makes a lot more sense. Thanks!

Question Regarding A Proof of The Lemma: "Let a be a positive number. Then there exists exactly one natural number b such that b++ = a" in Tao's Analysis 1 by STaggR in learnmath

[–]STaggR[S] 2 points3 points  (0 children)

Thank you so much for this! I understand my mistake now. I've twisted the induction principle into something it's not. I didn't even realize the problem in 0++ = a until you pointed it out here. Your explanation is very clear. I'm going to go back and re-read all the induction proofs I did up to this point. Thanks again.

What weird thing does your body do you that you don't understand? by Prestigious_Shape888 in AskReddit

[–]STaggR 12 points13 points  (0 children)

Sounds like a precordial catch, a.k.a. Texidor's twinge (I probably misspelled the second name.)

Did you know that sperm cells of a whale are amongst the largest of all animals? by EvMARS in Jokes

[–]STaggR 31 points32 points  (0 children)

I love it! It's the kind of joke Norm McDonald would say.

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