Moderator: Flannel Jesus
Both equal 1 in the limit.
We don't write them because we don't need to
Mowk wrote:We don't need to because an infinite string of zero's doesn't change the unit or value of 1
But if we explicitly assume that every decimal places is a 9, then each additional 9 doesn't change the value either,
You're implicitly assuming all zeroes, and so you see specifying additional zeros as not changing a value you've already implicitly assumed.
we can only say that a number given as "1" is between 1.˙0 and 2.˙0?
Mowk wrote:We can't say that...1 is not between them. It is equal to the smallest of the numbers in the range specified.
Mowk wrote:1 is equal to 1.? if and only if ? = 0. If "?" were any other value 1 would not be equal to 1.?
We can point to the same concept in a number of different ways: 22,x0,0!,−eiπ -- those are all the same concept.
Mowk wrote: I can't even copy and paste what you have written.
Mowk wrote:1 as an integer does not require the concept of division or exponents, or ... Your examples include them as part of the concept of the integer 1.
Mowk wrote:I'm no Georg Cantor. The notion of infinity has messed with better heads then mine.
Mowk wrote:I guess equals means more to me then you, huh?
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