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Mathematical truth

Mathematics is a human invention, so its 'truths' have been created, and their nature depends on one's philosophy of mathematics. However, society believes particular mathematical truths for convenience and for their usefulness.

In mathematics, we are concerned with mathematical truth based on logical proof. As students progress through school mathematics, they meet and work with simple ideas of truth (and falsity), then inductive and deductive reasoning, then formal proof.

The notion of truth underpins many key ideas in mathematics.

Truth of propositions

One approach to stimulating students' reasoning skills is to focus on the truth of propositions.