| The set of possible interpretations is uncountably infinite, and so, you can never run out of novel ways to connect the dots. |
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| An example of something that is uncountably infinite would be all the real numbers. |
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| Is our universe all there is, or are there uncountably many parallel universes? |
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| We build an uncountably categorical but not countably categorical theory whose only computably presentable model is the saturated one. |
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| There are uncountably many subsets of N, but since there are only countably many Turing machines, there can be only countably many decidable sets. |
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| The stars in the sky are uncountably many. Even a lifetime would not suffice to number them all. |
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| If a set is neither finite nor countably infinite, it is said to be uncountably infinite or simply uncountable. |
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| On the contrary, there is every reason to think that, reality being what it is, there will be an uncountably large manifold of facts. |
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| The following theorems provide uncountably many Type II problems. |
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