| __Mathematical Proof Encyclopedia Article @ NaturalResearch.org (Natural Research)__ *(Site not responding. Last check: 2007-09-20)* |

| | In mathematics, a **proof** is a demonstration that, assuming certain axioms, some statement is necessarily true. |

| | The distinction between formal and informal **proofs** has led to much examination of current and historical mathematical practice, quasi-empiricism in mathematics, and so-called folk mathematics (in both senses of that term). |

| | **Proof** by construction: (also known as **proof** by example) constructing a concrete example with a property to show that something having that property exists. |

| www.naturalresearch.org /encyclopedia/Mathematical_proof (709 words) |