The same old argument that "Since it doesn't look like 1, it's not 1".
You see the ... after the 9's? That indicates infinite 9's. You don't see the significance of it.
That's cardinalities, which is something else.
edited 9th Sep '11 7:25:41 PM by abstractematics
Now using Trivialis handle.Take 1 out of infinity. Its still infinity. you're arguing things on too small a scale.
Very big Daydream Believer. "That's not knowledge, that's a crapshoot!" -Al Murray "Welcome to QI" -Stephen Fry![]()
Again, you're arguing for 0.999, which equals 999/1000, and not 0.9_, which equals 1/1.
What equation are you talking about, exactly?
edited 9th Sep '11 7:32:39 PM by abstractematics
Now using Trivialis handle.And why? Do you have proof?
There's no such thing as 1.0_1 in real numbers.
edited 9th Sep '11 7:40:00 PM by abstractematics
Now using Trivialis handle.Look, I'm using reasoning and logic embodied in math. And all I'm hearing is "it doesn't look equal and it's not equal".
That's same as saying that 1 + 1 is not 2 because they don't look the same.
You have yet to say any further.
Now using Trivialis handle.1+1 doesn't equal 2. As soon as you put that plus sign there, it's not a number.
[1] This facsimile operated in part by synAC.Like how the 0 in 0.5 removes any semblance of being 1/2.
[1] This facsimile operated in part by synAC.I've been tired long ago of the attitude "It's not equal because it isn't, and because it doesn't look like it!" I immediately refer to 1 + 1 = 2 even though they look completely different.
@Erock, you're saying that 0.X normally implies a ones digit of 0 and not 1, it's less than one. My response is that, 0.abcd... is defined as the sum 0 + 0.a + 0.0b + 0.00c + 0.000d and so on. You add them up and you get 1, just like when you add up 1 and 1, each less than 2, you get 2.
Now using Trivialis handle.it reminds me of the "Halving the orange" type of thing. eventually you get 1/2+1/4+1/8+1/16+1/32+1/64+... until eventually you get 1/infinity.
Very big Daydream Believer. "That's not knowledge, that's a crapshoot!" -Al Murray "Welcome to QI" -Stephen FryThe 1/3 = .3 repeating is actually mathematically false. 1/3 has no exact value in decimal mathematics so .3 repeating is the closest we can get. (Such a division equation is inherently unsolvable without arbitrarily terminating it and/or using remainders.) When you take .3 repeating and multiply by three, the effect is not the same as multiplying 1/3 by 3/1.
Actually, it is. 1/3 is equal to the limit of 3/10, 33/100, 333/1000, etc.
[1] This facsimile operated in part by synAC.

Math is logic applied to quantity, so that doesn't apply.
You're saying 1 + 1 does not equal 2.
Now using Trivialis handle.