Which of the following are Peano Axioms (as presented in the video). Let N denote the set, s denote the successor function, and 0 denote the selected element. □s is bijective s is surjective □0 € s (N) s(n) = n+1 If UCN then x EU⇒s(x) EU. s is injective □0s (N) □ If UCN with the following properties: (a). Ο EU (b). x EU s(x) EU Then U = N. □ If UCN with the following properties: (a). 0 EN (b). s(x) EU s(x) EU Then U = N.
Which of the following are Peano Axioms (as presented in the video). Let N denote the set, s denote the successor function, and 0 denote the selected element. □s is bijective s is surjective □0 € s (N) s(n) = n+1 If UCN then x EU⇒s(x) EU. s is injective □0s (N) □ If UCN with the following properties: (a). Ο EU (b). x EU s(x) EU Then U = N. □ If UCN with the following properties: (a). 0 EN (b). s(x) EU s(x) EU Then U = N.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.1: Real Numbers
Problem 38E
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