Set Theory and Logic

    

Modification of Cantor Sets With Potential Infinities

Authors: Anders Lindman

In continuous Euclidean space all lines have an infinite number of points, e.g. a line A = 10 cm has the same number of points as a line B = 5 cm. In this paper a new set theory (MST for modified set theory) is defined so that lines of different lengths always contain different numbers of points. Instead of allowing several actual infinities only one actual infinity is defined. All other sets are either finite or have potential infinite cardinality. This makes the logic of sets more straightforward than with Georg Cantor’s transfinite sets.

Comments: 3 Pages.

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[v1] 2021-07-12 03:03:37

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