Answered: Consider the set of all functions f : N…

Consider the set of all functions f : N → {0, 1}, i.e., the functions map the natural numbers to 0 or 1 . Do you think the set of all such functions is countable or uncountable.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.4: Definition Of Function

Problem 54E

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Consider the set of all functions f : N → {0, 1}, i.e., the functions map the natural numbers to 0 or 1 . Do you think the set of all such functions is countable or uncountable.

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