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Image: Infinity paradoxon - one-to-one correspondence between infinite set and proper subset

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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)

Description: 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
Title: Infinity paradoxon - one-to-one correspondence between infinite set and proper subset
Credit: Own work
Author: Jochen Burghardt
Usage Terms: Creative Commons Attribution-Share Alike 3.0
License: CC BY-SA 3.0
License Link: http://creativecommons.org/licenses/by-sa/3.0
Attribution Required?: Yes

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