23 Every argument is an argument for something. The Cantor diagonal argument is an argument to prove that set of real numbers is uncountable. What is a countable set? A set is countable if …

95 I'm having trouble understanding Cantor's diagonal argument. Specifically, I do not understand how it proves that something is "uncountable". My understanding of the argument is that it …

In my understanding of Cantor's diagonal argument, we start by representing each of a set of real numbers as an infinite bit string. My question is: why can't we begin by representing each natural

3 For your specific questions: Georg Cantor's diagonal argument, what exactly does it prove? (This is the question in the title as of the time I write this.) It proves that the set of real numbers …

Oct 10, 2019 · I have seen several examples of diagonal arguments. One of them is, of course, Cantor's proof that $\\mathbb R$ is not countable. A diagonal argument can also be used to …

Apr 10, 2025 · In this answer to the question Why are the total functions not enumerable? the following argument is made: Because of diagonalization. If $(f_e: e \\in \\mathbb{N})$ was a …

Nov 23, 2015 · I'm trying to grasp Cantor's diagonal argument to understand the proof that the power set of the natural numbers is uncountable. On Wikipedia, there is the following …

Nov 4, 2013 · 2 How to prove that the new number produced by the Cantor's diagonalization process applied to $\Bbb Q$ is not a rational number ? Suppose, someone claims that there is …

I studied Cantor's Diagonal Argument in school years ago and it's always bothered me (as I'm sure it does many others). In my head I have two counter-arguments to Cantor's Diagonal …

Oct 29, 2018 · 4 Cantor's diagonal argument: As a starter I got 2 problems with it (which hopefully can be solved "for dummies") First: I don't get this: Why doesn't Cantor's diagonal argument …