File:Infinity paradoxon - one-to-one correspondence between infinite set and proper subset.gif
From Infogalactic: the planetary knowledge core
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Infinity_paradoxon_-_one-to-one_correspondence_between_infinite_set_and_proper_subset.gif (424 × 221 pixels, file size: 2 KB, MIME type: image/gif)
Summary
viewing lines as infinite sets of points, the left half of the lower blue line can be mapped one-to-one (green correspondences) to the higher blue line, and in turn to the whole lower blue line (red correspondences); therefore the whole lower blue line and its left half have the same cardinality
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Lua error in package.lua at line 80: module 'strict' not found.
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 12:00, 9 January 2017 | | 424 × 221 (2 KB) | 127.0.0.1 (talk) | viewing lines as infinite sets of points, the left half of the lower blue line can be mapped one-to-one (green correspondences) to the higher blue line, and in turn to the whole lower blue line (red correspondences); therefore the whole lower blue line and its left half have the same cardinality |
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