0.999 = 1

Out of context: Reply #8

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  • ismith0

    Fractions aren't numbers, they're operations.

    • but they're just being used in the proofBryce
    • they're rational numbersKwesiJ
    • No they're not. Although a number can only be rational if it can be expressed as a fraction (quotient).ismith
    • The fraction itself is not a rational number.ismith
    • so if a number is expressed as a fraction its raitonal but the fractions arn't rational numbers?KwesiJ
    • Right. The fractions themselves are an operation. The format of a fraction was invented as shorthand for a common operator (÷)ismith
    • operator (÷).ismith
    • well shit ... : OKwesiJ
    • The number may still be perfectly rational, but the fractional representation would be an unsimplified expression.ismith
    • All I'm saying doesn't matter much to most people, but it's important if you want to get your premises straight in number theory or any kind of mathematical analysis.ismith
    • number theory or any kind of mathematical analysis.ismith
    • sure i hear you. i read up a little on the history/philosophy of math, interesting stuff i don't get all of it thoughKwesiJ

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