Post #2945263
2026-02-03 21:21 UTC
@sandyarmstrong@hachyderm.io @LucasWerkmeister@wikis.world
P.S. ""1/3 and 0.(3) AREN'T the same number" - go read the part of my thread about Base number systems, and you'll discover why it's literally impossible to represent 1/3 exactly in Base 10. We can represent it exactly in Base 3 - 0.1 - but not in Base 10, which is precisely why it's infinitely recurring. All infinitely recurring numbers are only approximations, hence why we use limits as a substitute for them when we need to do arithmetic with them.
Replies (1)
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@piegames@flausch.social 2026-02-04 09:51
@SmartmanApps@dotnet.social @sandyarmstrong@hachyderm.io I'm sorry but I've learned 0.(3) to be *literally defined* as 3*1/9=1/3. Inventing new subtly different semantics for established mathematical notation and then calling everyone else wrong on their proofs without being stringent about anything doesn't fly