| On the contrary, there is every reason to think that, reality being what it is, there will be an uncountably large manifold of facts. |
| The following theorems provide uncountably many Type II problems. |
| If a set is neither finite nor countably infinite, it is said to be uncountably infinite or simply uncountable. |
| The stars in the sky are uncountably many. Even a lifetime would not suffice to number them all. |
| The set of possible interpretations is uncountably infinite, and so, you can never run out of novel ways to connect the dots. |
| There are uncountably many subsets of N, but since there are only countably many Turing machines, there can be only countably many decidable sets. |
