It is possible that you mean paradoxical. A paradox is a statement that leads to a contradiction or a situation which defies intuition. Typically, either the statements in question do not really imply the contradiction, the puzzling result is not really a contradiction, or the premises themselves are not all really true or cannot all be true together. The paradox may be a contradiction, but it is not ironic.
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∙ 14y agoThere doesn't seem to be a term "paradoximal." It might be a misspelling of "paradoxical," which means something that appears contradictory but may be true. Could you provide more context or clarify your question?