Some infinities like the set of square numbers, integers or rational numbers can be paired perfectly with the natural numbers.
These infinities like the set of all real numbers, the complex numbers, they can't be matched one-to-one with the natural numbers.
Some infinities are bigger than others.
Would they be different infinities ?
infinitely many infinities adding up still to the very same infinity, which is a strong instance, a strong violation of Euclid's principle once again, right?
And then for infinitives, do we want something that's going to indicate the infinitive in English?
Make the infinitive the root, the simplest form.
Physicists don't like infinities , computer scientists don't like infinities , mathematicians love infinities .
stuck with the infinitive all the time and so I thought okay maybe maybe she is meaning this in some I gave her the
are even greater infinities .
different types of Infinities that I want people to be aware of come from 1 2 3 4 5 6 that's what
these factorial types of Infinities 10 factorial 100 factorial a th factorial or um different per
So Cantor called these countable infinities , but then there are bigger infinities , Cantor called them uncountable.
And so we have an infinity of infinities of the train passengers together with the current occupants of the hotel, and everybody on the train wants to check in to Hilbert's Hotel.
And he would never have split an infinitive.
So three different types of infinities that I want people to be aware of come from one, two, three, four, five, six.
There are different types of infinities , and which one you have depends on, in math, the type of mathematical infinity you're considering,
out though that those two types of infinities are actually the same type of infinity one is just multiplied by a factor of two over the other you're not getting a bigger infinity by counting
Oh, I'm hearing infinitive the root.
Actually, that contained a split infinitive.
"To boldly go where no man has gone before." The infamous split infinitive.
serial comma and the original style guide that had the rule against splitting infinitives.
However, there are several different types of infinities .
by twos instead of counting by ones however there are several different types of Infinities so three
was based on a clumsy analogy with Latin where you can’t splint an infinitive because it’s a single word, as in facary to do. Julius Caesar couldn’t have split an infinitive
Of course, the contemporary attitude about this situation is that those two infinities are exactly the same, and that Galileo was right in those
So, can you speak to the uncountable infinities ?
And the "wash" part, or the "to wash" part is basically an infinitival construction, meaning that there's no tense.
And, in fact, instead of producing infinities , it produces correct results.
It turns out, though, that those two types of infinities are actually the same type of infinity.
But then I also want you to think of these combinatoric or these factorial types of infinities : 10 factorial, 100 factorial, 1,000 factorial,
Because infinity is associated with God, how could there be multiple infinities ?
So, laying that all out on the table, can you explain the idea of infinity, that some infinities are
And then for non-finite forms, these are things like if you're going to have a separate infinitive or if you're going to have a participle
This theory gives nonsense, because when you do the mathematics, you get infinities .
Infinity the numbers of itself they go to Infinity very very rapidly the probabilities of getting any particular outcome they go infinitesimal very very rapidly there are different types of Infinities
make no sense whatsoever. Take one of the most famous of these rules, the rule not to split infinitives. According to this rule, Captain Kirk made