What are some simple examples of axioms?

Axiomatic System Read more from
Chapter Foundations of Mathematics

There are some very basic assertions when it comes to axioms. The following lists only a few classical axioms:

  • Things which are equal to the same thing are also equal to each other.
  • If equals be added to equals, the wholes are equal.
  • If equals be subtracted from equals, the remainders are equal.
  • Things that coincide with one another are equal to one another.
  • The whole is greater than the part.


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