| 41. | Dirac's second-order infinite contributions to the sum.
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| 42. | A Liouville number is defined to have infinite measure of irrationality.
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| 43. | This is the smallest T 1 topology on any infinite set.
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| 44. | Such an infinite tape of data is called a Turing oracle.
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| 45. | Thus, the process can be repeated for each infinite set.
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| 46. | In this sense one speaks of the improper or potential infinite.
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| 47. | The overall result is then : The infinite is nowhere realized.
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| 48. | Note that infinite intersections of open sets need not be open.
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| 49. | Unlike the infinite cyclic group, it is not even countable.
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| 50. | There is an analogue of the Sylow theorems for infinite groups.
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