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>I'd say the key point is to understand the difference between a number, and the decimal representation But there is no such distinction. In fact the decimal r
by constantcrying 1y ago
>I'd say the key point is to understand the difference between a number, and the decimal representation
But there is no such distinction. In fact the decimal representation is "closer" to a real number, then just 1.
>is one possible representation of number 1.
Why? You are just asserting things. You do not even give an argument why that should be the case. Why is 0.999... a representation of 1 and not 0.123?
- yodsanklai 1y ago> But there is no such distinction Of course there's a distinction. A decimal representation is a sequence of digits, not a number > Why? It boils down from the definition of the decimal representation and the limit of a geometrical sequence. https://en.wikipedia.org/wiki/Decimal_representation https://en.wikipedia.org/wiki/Decimal_representation
- constantcrying 1y ago>Of course there's a distinction. A decimal representation is a sequence of digits, not a number Oh and what is a real number? Might a real number be a sequence of rationals? Or more correctly an equivalence class of cauchy series. >It boils down from the definition of the decimal representation and the limit of a geometrical sequence. No, it doesn't. You are assuming the conclusion.