(uncountable) endlessness, unlimitedness, absence of a beginning, end or limits to size.
Used in a Sentence
infinities
Definitions, parts of speech, synonyms, and sentence examples for infinities.
Editorial note
It's an illustrated story that touches upon the different kinds of infinities, and even describes Cantor's diagonalization argument in a very friendly, intuitive way.
Examples16
Definitions4
Parts of speech1
Quick take
(uncountable) endlessness, unlimitedness, absence of a beginning, end or limits to size.
Meaning at a glance
The clearest senses and uses of infinities gathered in one view.
(countable, mathematics) A number that has an infinite numerical value that cannot be counted.
(countable, uncountable) The symbol ∞.
Definitions
Core meanings and parts of speech for infinities.
noun
(uncountable) endlessness, unlimitedness, absence of a beginning, end or limits to size.
noun
(countable, mathematics) A number that has an infinite numerical value that cannot be counted.
noun
(countable, uncountable) The symbol ∞.
noun
(uncountable) A number which is very large compared to some characteristic number. For example, in optics, an object which is much further away than the focal length of a lens is said to be "at infinity", as the distance of the image from the lens varies very little as the distance increases further.
Example sentences
It's an illustrated story that touches upon the different kinds of infinities, and even describes Cantor's diagonalization argument in a very friendly, intuitive way.
It would be better to say that infinite sets are fundamentally unphysical, since there are no actual infinities.
In two dimensions, there's a way to shift an infinity of points to become two identical infinities, but all the movement is simple shifting together or rotating together.
But what if the order of infinities is switched around between energy and space, could that then mean there's only one instance of inflated space in existence?
And yet on every probe of that point, it comes back to an issue of infinities.
This is a case of infinitely many zeroes giving a non-zero sum, and why you need to deal carefully with infinities.
Hyperreals are much more involved than mere epsilontics as they include all kinds of infinities.
It was using floats, not doubles to begin with, and producing a lot of either NaN's and infinities (hence the black colors).
There's another branch of Mathematics knows as finitism, which regards infinities as not existing.
It's like explaining infinities (examples: there are as many odd integers as integers; 0.99999...
But you have to check for specific model and data (say P(data|param) = c e^{(data-param)^2}), it isn't enough to verbally work through infinities.
I had enough of math and infinities in college and just am not curious right now.
Quote examples
They produce "true" when compared for equality but they usually produce differently signed infinities when divided by.
Their constant is "God" who they then define as a number of infinities on various axes.
My understanding of infinities and infinitesimals is that they are "not numbers," but are essentially a short hand notation for the processes involved in taking limits.
" My understanding of infinities and infinitesimals is that they are 'not numbers,' " Nope, they're perfectly good numbers.
Frequently asked questions
Short answers drawn from the clearest meanings and examples for this word.
How do you use infinities in a sentence?
It's an illustrated story that touches upon the different kinds of infinities, and even describes Cantor's diagonalization argument in a very friendly, intuitive way.
What does infinities mean?
(uncountable) endlessness, unlimitedness, absence of a beginning, end or limits to size.
What part of speech is infinities?
infinities is commonly used as noun.