Infimum of a set

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Infimum of a set

In this video, I define sup's little cousin, the infimum of a set. It is like a minimum, except that it always exists.

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I finally understand these proofs. Took me an entire month, but finally.

bigback
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I would think of that in terms of limits, but the set/element notation is very elegant.

CliffStamp
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Such a shame there isn't a notation reading 'Simp' in maths

CossZt
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do we not need to use the supposition that m1 > 0 anywhere? I'm trying to understand why this proves anything special about 0 being the inf if we didn't even use that assumtion for the proof.

qschroed
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how can you show such N exist in example 3, that will be greater than 1/M?

池晋方
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What is the 'm' in this? It seems not normal..

liivan