Common notions (very basic, self-evident assertions)

From the book Euclids elements, circa 300 BC, arguably the most important textbook ever written.

  1. Things which are equal to the same thing are also equal to one another.
  2. If equals be added to equals, the wholes are equal.
  3. If equals be subtracted from equals, the remainders are equal.
  4. Things which coincide with one another are equal to one another.
  5. The whole is greater than the part.


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