In the item titled "Two-element numbers and geometry” I mentioned that two-element numbers are closely related to infinity. Now, I should add that they also play an important role in different formulations of the (independent) continuum hypothesis, so in the descriptions of different mathematics.
Cantor defined infinite numbers that are located beyond natural numbers. These are the transfinite numbers.
I have got my idea for a new interpretation of infinite numbers from computer plotting of negative numbers. This method is similar to the usual decimal representation of fractions in the system of real numbers. For example, a special infinite number can be written as the following:
...999
So in the case of the ...999 number there is an infinite sequence of digits, ie. countably many 9 integers represent a special infinite number.
Apparently I did not do anything else than the real-digit representation of fractions. What can we say about this infinite number? First of all, the same as about the real -1, ie.
…999 2=1 *
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