>>13728264This deserves special attention because Cantor is the biggest meme on the planet. Mathematicians really wanted real numbers to work out so they listened to a literal schizo. Here is a quote from him:
"""
I have never proceeded from any Genus supremum of the actual infinite. Quite the contrary, I have rigorously proved that there is absolutely no Genus supremum of the actual infinite. What surpasses all that is finite and transfinite is no Genus; it is the single, completely individual unity in which everything is included, which includes the Absolute, incomprehensible to the human understanding. This is the Actus Purissimus, which by many is called God.
I am so in favor of the actual infinite that instead of admitting that Nature abhors it, as is commonly said, I hold that Nature makes frequent use of it everywhere, in order to show more effectively the perfections of its Author. Thus I believe that there is no part of matter which is not — I do not say divisible — but actually divisible; and consequently the least particle ought to be considered as a world full of an infinity of different creatures.
"""
This is clearly not from a man who is mentally well. Even with 21st century technology, nature doesn't really have an infinities we can definitely prove. Meanwhile, this lunatic in the 19th century was claiming that there is infinity everywhere in nature.
Aristotle was correct; there are only potential infinities, not """actual infinities""".