These sets are too big to be put into one-to-one correspondence with the natural numbers; they are called uncountably infinite. ❋ Bays, Timothy (2009)
Thus, the one-to-one correspondence between the reals and the naturals fails, as there are simply too many reals—they are "uncountably" numerous—making real infinity somehow larger than natural infinity. ❋ Unknown (2007)
* Eleanor Clift loses one of her uncountably many demerits in agitating for Howard Dean to HHS. ❋ Unknown (2009)
For example, it certainly depends on whether your set of trials is countably infinite or uncountably infinite (in other words the cardinality of your set of trials). ❋ Unknown (2009)
Much to the consternation of marine life advocates and to the relief of the out-of-sight/out-of-mind crowd, most of the damage is uncountably ensconced beneath the surface of the Gulf. ❋ Unknown (2010)
Or how might we have a little private time to tell just one of our sons of our affection for him without sharing the moment with uncountably many of his brothers? ❋ Weatherson, Brian (2009)
Indeed, because cardinality is permutation-invariant, every cardinality quantifier is included, including “there are infinitely many”, “there are uncountably many”, and others that are not first-order definable. ❋ MacFarlane, John (2009)
How can a countable model satisfy the first-order sentence which “says that” there are uncountably many things? ❋ Bays, Timothy (2009)
The questions raised by the uncountably infinite number of both unrealistic and implausible alternate viewpoints of diversity demand answers. ❋ Unknown (2007)
Or moving the other way, if we form a third language L³ by adding to L the quantifier Qx with the meaning “There are uncountably many elements x such that ¦”, then trivially L is reducible to L³, but the downward Loewenheim-Skolem theorem shows at once that L³ is not reducible to L. ❋ Hodges, Wilfrid (2009)
And the memory of man runneth not to a year when there was an episode of disproportion comparable to the planet-wide vapors occasioned by one of the year's uncountably numerous automobile accidents, this one in Paris. ❋ Unknown (2008)
While there are uncountably many mathematically distinct developments of the fields into the hole, under Leibniz Equivalence, they are all physically the same. ❋ Norton, John D. (2008)
There are uncountably many subsets of N, but since there are only countably many Turing machines, there can be only countably many decidable sets. ❋ Immerman, Neil (2008)
Another way to state the continuum hypothesis is that (the first uncountably infinite cardinal) ❋ Kennedy, Juliette (2007)
Non-trivial probabilities arise when uncountably many of the points are clumped together in larger sets. ❋ Hájek, Alan (2007)
I felt as though I had eaten nothing for an uncountably long while. ❋ Unknown (2007)
It is plain that not all infinite conjunctions can be expressed because there are uncountably many (non-equivalent) infinite conjunctions over a countable language. ❋ Halbach, Volker (2007)
If you worry so much about mankind destroying itself there are uncountably many more urgent risks out there to worry about then LHC. ❋ Mark (2006)
In spite of the corruption in the US system and the marginal differences between the two main parties, the US is uncountably more democratic than the process that left the Taliban in charge of Afghanistan. ❋ Unknown (2006)
Rather, there is only the suggestion, in thesis 5, that there may be uncountably many ways of drawing distinctions, set alongside a series of examples that collapse conventional distinctions. ❋ Fraser, Chris (2005)
The number of [reasons] for [Kate] and [Kyle's] love for each other is uncountable. ❋ Keightie (2010)
Friend 1: ...and then after the [blow job], Jenny and I totally did it until the morning.
Friend 2: Dude, your such a [liar]! James was totally telling me the same story.
Friend 3: That's such a [sexual uncounter]! ❋ JS-The-Man (2007)
[Counting] to [infinity] is hard, so they just gave up and [called it] uncountable infinity. ❋ 1m1m0 (2022)
"All of the people at the [funeral] [made it] Uncountable/Incountable to figure how many were there"
"It was Uncountable/Incountable to [see how] many people there were" ❋ Orangee_1 (2022)
