Found this article which goes into a little more depth on this obscure mathematical comment by Winston Churchill about a moment when his life changed. I still consider it to be one of the deeper insights into the true nature of infinity.
I had a feeling once about Mathematics, that I saw it all—Depth beyond depth was revealed to me—the Byss and the Abyss. I saw, as one might see the transit of Venus—or even the Lord Mayor’s Show, a quantity passing through infinity and changing its sign from plus to minus. I saw exactly how it happened and why the tergiversation was inevitable: and how the one step involved all the others. It was like politics. But it was after dinner and I let it go! Winston Churchill, My Early Life, 1930
Did you catch that? He's basically saying that infinity exists in roughly the same position that we normally place zero on the number line. I was attracted to this quote (and have been for years) after I developed the idea of Zero = Infinity independently, and then found this most curious insight of Churchill, a delightful confirmation that I was on the right track.