To Infinity + 1 and beyond!

Not all infinities are the same size, surprisingly enough! This counterintuitive result has been the source of much consternation. Georg Cantor first discovered this in the 1870s, and the results have influenced many aspects of advanced mathematics ever since. Join me as we explore this interesting fact, and why it's true!

Link to 1st video referenced:    • The Basic Sets - Where is 7?  

Link to 2nd video referenced:    • The Complex Numbers: A Wild idea  

More stuff to look up: Set Theory, Axiom of Choice, Continuum Hypothesis, Hilbert Problems, Aleph Numbers, Beth Numbers

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The Taylor Series aims help people love math. Whether you're a student in a math class or someone who has ever asked the question, "What was the big deal about Calculus?" there's something here for you.

I am aiming to have one new video up every month. I hope you enjoy them!

Also, I named this the Taylor Series after the mathematical construct created by James Gregory and formally introduced by Brook Taylor ... and I picked this one in particular because my name is Derrick Taylor. :)

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Music Credits (from AudioBlocks):
Intro music: Thinking by Patrick Smith
Main background music: Island Fun by Neil Cross
Outro music: Midnight City Lights by Neil Cross