Hughes, James H. (2022) Logical Equivalence Failure. International Journal of Mathematics and Statistics Studies, 10 (2). pp. 1-25. ISSN : 2053-2229 (Print), 2053-2210 (Online)
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Abstract
As a point of mathematical logic, this paper proves that the contrapositive is not logically equivalent to the conditional, which disproves the “proof by contradiction” that has been used in mathematics for over a hundred years. The paper then provides suggestions for why the “proof by contradiction” may have been derived in error.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Conditional, contrapositive, logic, mathematics, proof by contradiction, Venn diagram. |
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Faculty of Engineering, Science and Mathematics > School of Mathematics |
| Depositing User: | Content Creator |
| Date Deposited: | 27 Mar 2022 13:24 |
| Last Modified: | 27 Mar 2022 13:24 |
| URI: | https://tudr.org/id/eprint/118 |
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