pseudomathematical

Pseudomathematical refers to something that resembles mathematics but lacks its rigor, logical consistency, or foundational principles. It often involves the superficial application of mathematical notation, symbols, or jargon to subjects or arguments that are not amenable to mathematical analysis, or where the application is done incorrectly.

The term can be used descriptively, to point out a lack of genuine mathematical substance, or pejoratively, to dismiss an idea as mathematically unsound or misleading. Pseudomathematical arguments might appear convincing to those unfamiliar with mathematical principles due to the use of complex-looking formulas or numbers. However, upon closer inspection, these arguments often contain logical fallacies, misinterpretations of data, or an arbitrary use of mathematical tools.

Examples can range from elaborate numerology that assigns mystical significance to numbers, to certain forms of pseudoscience that attempt to quantify subjective experiences without a valid methodology, or even arguments in fields like economics or social science that employ mathematical models without adequate justification or empirical support. The key characteristic is the pretense of mathematical validity without the underlying structure of mathematical proof or established theory. It is important to distinguish genuine mathematical application from pseudomathematical claims to avoid misinterpretations and flawed conclusions.