Mathematical Reasoning and Political Learning: What Mathematical Reasoning Can Teach Us about Contemporary Political Issues

Abstract

If there is one area of study that is totally a political and non-ideological, it is the area of mathematics. The ancient Greek meaning of mathematics is that which is learnt. Mathematics is the search for patterns and applies a rigorous deductive method from axioms and definitions. An axiom is a self-evident truth derived from argument and from inferences. Examples of axioms include: A line can extend to infinity or things which are equal to the same thing are equal to one another. Euclid) Mathematics is substantial grounded in axioms. Now what does this have to do with modern political discourse on public issues? Such discourse appears to be diametrically opposed to mathematical reasoning. Yet there is a connection which bears investigation. All political contentions regarding issues such as abortion, immigration, health care, guns, etc. imply, even though not specifically articulated, axioms from which the substance of these arguments is derived. Axioms can be tested using the principles of logic, particularly the laws of deductive logic such as the law of non-contradiction. The inductive method can also be used to test axioms. These tests can be applied to the axioms that underlie modern political discourse to test their adequacy to support the arguments that follow. This paper applies the framework and manner of axiomatic tests to various political points of view today in order to demonstrate that such an approach will add to political discourse and serve as a potential basis for reducing the violent political rhetoric we see daily.

Presenters

John Ray
Professor, Liberal Studies/Interdisciplinary Arts and Sciences, Montana Technological University, Montana, United States

Details

Presentation Type

Paper Presentation in a Themed Session

Theme

Science, Mathematics and Technology Learning

KEYWORDS

MATHEMATICAL, LOGIC, LEARNING, EVALUATION