Set Theory and Logic


Interval Sieve Algorithm - Creating a Countable Set of Real Numbers from a Closed Interval

Authors: Ron Ragusa

The interval sieve algorithm partitions a closed interval of real numbers [ri, rj] where ri < rj to create a complete list, L, of numbers in the interval. We will prove that the list L is complete, and derive the bijective function f : ℕ → [r1, r2].

Comments: 6 Pages.

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Submission history

[v1] 2019-03-03 15:04:19
[v2] 2019-03-05 22:33:09
[v3] 2019-03-06 16:13:39
[v4] 2019-03-08 06:41:25
[v5] 2019-03-25 22:29:33
[v6] 2019-05-16 22:30:10
[v7] 2019-05-23 14:58:21
[v8] 2019-05-31 19:43:12

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