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.
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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Could we also use Cantor's diagonalization to contradict this as well?
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