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Showing posts from August, 2019

What is Aleph Googol?

Welcome to this blog. I'm not sure how to make a landing page explaining what this site is about, and perhaps that's a good thing. What this site is about now might not be what it will be about next year, which might not be what it's about the following year. Etc... Let me at least explain a little about the title. Aleph Googol is an infinite number. Does that mean it's infinity?  No. It's just one of the infinite numbers that mathematicians have been studying for well over a hundred years now. It's written: \( \aleph_{10^{100}} \), and represents the \(10^{100}+1 \)-st infinite cardinal. Why the \(+1\)? Because infinite cardinals start with \(\aleph_0\), making \(\aleph_1\) the second infinite cardinal. Will this blog actually cover much more of this material? I'm not sure.