I decided to publicize my three latest Decoded Science articles at once, since they are all closely related.
“Euclid Laid the Foundations of Geometry” introduces the ancient Greek mathematician, Euclid.
“Elements of Geometry: A Brief Guide to the Euclidean Axioms” deals with his five axioms, the simplest assumptions that are needed to get started with mathematics.
“A Brief Guide to the Euclidean Postulates” completes my series of articles with his five postulates. A postulate, like an axiom, is a statement that is stated without a proof.
The Point of Postulates and Axioms
Euclid was perhaps the first to demonstrate how useful it is to start with definitions, axioms and postulates. He used these simple statements, that seem self-evident and obvious, to build more and more complex mathematical entities.
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Originally I wanted to focus on just the “parallel postulate”, since it was controversial for some centuries before becoming the gateway to new geometries.
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Thank you for reading about my three recent articles about Euclid and Euclidean geometry.
