Sentence examples for kind of infinity from inspiring English sources

It transports you into a kind of infinity feeling".

How can one kind of infinity be larger than another kind?

Have students debate whether or not the quantities are finite or infinite, and if infinite, which kind of infinity.

In the 19th century, the German mathematician Georg Cantor (1845 1918) returned once more to the notion of infinity and showed that, surprisingly, there is not just one kind of infinity but many kinds.

However, in each game, a different kind of infinity is used: in "Name the Biggest Integer," we rely on the fact that we can choose numbers to be infinitely large; in "Closest to 0," we rely on the fact that we can choose numbers to be infinitely small.

This article was the first to provide a rigorous proof that there was more than one kind of infinity.

Use these simple games and the ensuing discussions to get students thinking about the different kinds of infinity.

Surprisingly, the answer is no! Read Mr. Strogatz's excellent description of these different kinds of infinity in his NYT Opinionator article on the infamous Hilbert Hotel to get a sense of why, and how, these infinite sets of numbers have different sizes.

Everyone who cares about music and art and movies and heroic comebacks and rich rewards and being able to carry several kinds of infinity around in your shirt pocket is taken aback by this sudden huge vacuuming-out of a titanic presence from our lives.

When Cantor applied this conception of cardinality to infinite sets, he came to the initially surprising conclusion that there are different kinds of infinity.

For basic set-theoretic notation, see the entry on set theory. 2. We said above that Cantor's conclusion that there are different kinds of infinity may initially seem somewhat surprising.