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The only whole number below 1 is zero; even then, some prefer not to include it.

Some relevant mathematical statements:

  • 1 (One) is the smallest number.
  • Any expression that computes to a value which is less than 1, no matter how small, is always just a label stating a mathematical expression such as 1/3, 0.3333(recurring), 1/1000, 0.001, 1/(zillions of zillions), etc. and that expression must, by definition, always relate back to the smallest number, which is 1.
  • The number 0 ("zero" or "nil") is always just a plain label, worth nothing because it has no magnitude, which was invented as a label specifically to be able to state: "There is no number having any value or magnitude present in this place."
  • Because zero is always worth nothing because it has no magnitude, it is always JUST a symbol, a plain label, etc., so it can be neither a "whole" number nor a "small" number nor the "smallest" number.

Is there anything proven which actually contradicts the "mathematical hypothesis about the smallest number" which is summarized by those last four statements?

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12y ago

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Q: What is a whole number less than 1?
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