Recent content by Vincent_

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    Graduate Do infinite integers exist in base-1 numeral systems?

    You will get another one of the infinite number of last terms.
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    Graduate Do infinite integers exist in base-1 numeral systems?

    If you wish to conform to a standard of math that does not conform to logic and reason, you are welcome to do it. Just don't expect me to join you there. In my world, one can't make two mutually exclusive concepts true by simply defining them to be true.
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    Graduate Do infinite integers exist in base-1 numeral systems?

    Then it must have an infinite number of last terms. Sir, you are welcome to define 'integer' any way you wish. I, on the other hand, choose to go where logic and reason dictates. For someone to say that an infinite set can be placed into a one-to-one pairing with only finite numbers is...
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    Graduate Do infinite integers exist in base-1 numeral systems?

    Mathematicians have long held that infinite integers do NOT exist, but here is a very simple argument that shows that they do exist. A list of positive integers Z+ can be formed in a base-1 numeral system as... 1 11 111 1111 . . . 1111111... Since the set of integers is infinite...