To believe that 0.999... does not equal 1, you have to believe the following:
1) That 0.333... is not an accurate representation of 1/3 (and it is, any higher number and you don't get 1/3, same for lower numbers)
2) That 3 x 3 does not equal 9, and from that that any decimal form of 0.333 (any number of threes) multiplied by 3 does not equal 0.999 (with the same number of nines).
3) That there is a number in between 0.999... and 1, even though 0.999... is by definition infinitely long and 9 is the highest digit in the decimal system.
So effectively, you have to reinvent mathematics.
Please then,
1) Give me a better representation of 1/3 in decimal form.
2) Show me that 3 x 3 does not equal 9.
3) Tell me the number in between 0.999... and 1 (and don't say "an infinitely long number of 0s with a 1 on the end" because I have already shown how that is simply not mathematically possible)
* Tiberius loves watching people try and argue established mathematical proof when they clearly do not understand the concept of infinity.
1) That 0.333... is not an accurate representation of 1/3 (and it is, any higher number and you don't get 1/3, same for lower numbers)
2) That 3 x 3 does not equal 9, and from that that any decimal form of 0.333 (any number of threes) multiplied by 3 does not equal 0.999 (with the same number of nines).
3) That there is a number in between 0.999... and 1, even though 0.999... is by definition infinitely long and 9 is the highest digit in the decimal system.
So effectively, you have to reinvent mathematics.
Please then,
1) Give me a better representation of 1/3 in decimal form.
2) Show me that 3 x 3 does not equal 9.
3) Tell me the number in between 0.999... and 1 (and don't say "an infinitely long number of 0s with a 1 on the end" because I have already shown how that is simply not mathematically possible)
* Tiberius loves watching people try and argue established mathematical proof when they clearly do not understand the concept of infinity.