Non-standard model of arithmetic
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![PDF] Non-Standard Models of Arithmetic: a Philosophical and ...](/imgres?imgurl=https://d3i71xaburhd42.cloudfront.net/ac39494a9b538bc41d772790db2301dc2d3d382e/41-Figure2.1-1.png&imgrefurl=https://www.semanticscholar.org/paper/Non-Standard-Models-of-Arithmetic%253A-a-Philosophical-Giorgio-Novaes/ac39494a9b538bc41d772790db2301dc2d3d382e&h=390&w=1108&tbnid=HHBv0ZQZfR2bpM&q=Non-standard+model+of+arithmetic&tbnh=53&tbnw=150&usg=AI4_-kQCB0Kq6_beY7s-T3N1gRW9nzsxiQ&vet=1&docid=y2StRgsZm1j3YM&sa=X&ved=2ahUKEwi8yvPbhISGAxV15ckDHZrpA0wQ9QF6BAgAEAc)
In mathematical logic, a non-standard model of arithmetic is a model of first-order Peano arithmetic that contains non-standard numbers. The term standard model of arithmetic refers to the standard natural numbers 0, 1, 2, …. Wikipedia