How the Renaissance defined the very nature of mathematical proof

The Invention of Mathematical Proof in the Renaissance · 39:18 · Video: Gresham College · Watch at the source

In short: While mathematicians have long sought to verify results, the formal structure of a Euclidean proof was not fully established until the 1570s. This lecture explores the transition from ancient practice to modern rigor.

Dr. Richard Oosterhoff examines the evolution of mathematical logic, tracing how the language and practices we now attribute to Euclid solidified during the Renaissance. For centuries, the fundamental building or building blocks of a proof remained uncertain due to ambiguities regarding Euclid's identity, the layout of his original texts, and the specific structure of his arguments.

The presentation investigates how these uncertainties were resolved, leading to the hardened, dominant idea of proof that emerged in the late 16th century.

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