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Mar 6 at 21:32 vote accept Bamboozle
Mar 6 at 18:24 comment added Gerald Edgar @Conifold ... Sometimes we construct $\mathbb Z$ by taking ordered pairs in $\mathbb N$ with equivalence relation $(x,y) \sim (u,v) \Longleftrightarrow x+v = u+y$
Mar 6 at 13:22 answer added Alexandre Eremenko timeline score: 2
Mar 6 at 4:45 comment added Bamboozle @MauroALLEGRANZA in “introduction to mathematical thinking” I was reading the chapter on construction of integers and the author mentions a hueristic principle “principle of permanence of forms” and says mathematicians want to preserve existing structure as much as possible. Is this still true? How do I know I’m not reading stuff that is outdated printed in 1952
Mar 5 at 19:19 comment added J. W. Tanner There is also an ordered pair construction of integers from natural numbers
Mar 5 at 12:14 comment added Conifold The ordered pair construction is for rational numbers, not integers.
Mar 5 at 11:12 comment added Mauro ALLEGRANZA E.Bloch, The Real Numbers and Real Analysis and F.Waismann, Introduction to Mathematical Thinking
S Mar 5 at 9:26 review First questions
Mar 5 at 15:21
S Mar 5 at 9:26 history asked Bamboozle CC BY-SA 4.0