Re:0.999...= 1
by gspr on Tuesday April 28, 2020 @01:53PM
(#23009771)
That's not a definition. Neither 10^∞ nor 1/∞ is defined in any standard system, so you'll have to define those too if you want to use them to define 0.000…1.
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You're working with surreal numbers? This is not what people would expect unless it's explicitly stated. In addition, you're likely going to have a hard time explaining surreal numbers to someone who struggles to grasp that 0.999... = 1 in the ordinary reals.
Surreal numbers and infinistemal are simpler to work with when you need to work with infinite series.
Here John Conway explains them: https://www.youtube.com/watch?v=1eAmxgINXrE