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The pushback I have gotten om my tongue-in-cheek rants defending 0 as a natural number would suggest not everyone agrees. Some people really care about 1/n bei
by rocqua 8y ago
The pushback I have gotten om my tongue-in-cheek rants defending 0 as a natural number would suggest not everyone agrees.
Some people really care about 1/n being possible for every natural number N.
- deleted 8y ago[deleted]
- deleted 8y ago[deleted]
- yakubin 8y agoAnd other people care about natural numbers being the set of cardinal numbers for finite sets. Others want the set of natural numbers with addition to be a monoid. And actually most-known series in analysis are usually indexed starting from zero, because that's when the formulas are usually simpler.
- traderjane 8y agoBut if you asked the same people to build the naturals, they'd likely include an initial object that behaves like 0.
- rocqua 8y agoI fully agree. However, there is also pushback on ordinals vs cardinals, and monoids vs semigroups.