infinities in English

noun
1
the state or quality of being infinite.
the infinity of space
2
a number greater than any assignable quantity or countable number (symbol ∞).
Euler asserts that the sum of the harmonic series equals the natural logarithm of infinity plus a quantity that is nearly a constant.

Use "infinities" in a sentence

Below are sample sentences containing the word "infinities" from the English Dictionary. We can refer to these sentence patterns for sentences in case of finding sample sentences with the word "infinities", or refer to the context using the word "infinities" in the English Dictionary.

1. Cantor wondered whether there are infinities of different sizes between these two infinities.

2. Cantor's transfinite numbers orders and counts all non-genuine infinities

3. Remember, of course, that we need the round parentheses, not including the infinities.

4. Alan Lightman’s new book explores the riddles of origins, infinities, and other Bafflements brought to us by modern science

5. Alan Lightman’s new book explores the riddles of origins, infinities, and other Bafflements brought to us by modern science

6. Pondering the unknowable Alan Lightman's new book explores the riddles of origins, infinities, and other Bafflements brought to us by modern science.

7. At higher orders in the series infinities emerged, making such computations meaningless and casting serious doubts on the internal consistency of the theory itself.

8. For Kronecker, Cantor's hierarchy of infinities was inadmissible, since accepting the concept of actual infinity would open the door to paradoxes which would challenge the validity of mathematics as a whole.