Question

prove 2 + 2 =4................​

Answer 1

Answer:

Yes. It follows from the construction of the natural numbers and the operation of addition.

You can see a proof in Landau's Foundations of Analysis.

You can also see this done in Rudin's Principles of Mathematical Analysis and other textbooks as well.

While matheman's statement is correct, the Zermelo Fraenkel axioms (plus choice) are usually presented in formal treatments of mathematical logic, while in the ordinary course of things arithmetic is developed from the somewhat less formal Peano axioms. The Peano axioms are actually included in the Zermelo Fraenkel axioms.

BTW the construction of the arithemetic of the integers is interesting from a technical perspective, but also incredibly tedious and boring.

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