Answer by Mark Saving for Understanding the natural numbers and Peano's axioms
You are raising legitimate questions, but you are also conflating several different questions.First, there is the issue of there being multiple designations for the same thing.Secondly, there is the...
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I am reading the book Analysis $I$ by Terence Tao, where the following is written: [...] $\mathbf{N}$ should consist of $0$ and everything which can be obtained from incrementing: $\mathbf{N}$ should...
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