The Richard Paradox at Decoded Science

My recent Decoded Science article, “Repercussions from the Richard Paradox” explains Richard’s Paradox and tells of some responses that helped keep mathematics on a stable footing.

Richard’s Paradox as well as Richardian Numbers

"For All x, the Function of x", image by Mike DeHaan
“For All x, the Function of x”, image by Mike DeHaan

French mathematician Jules Richard actually developed a pair of paradoxes. They were important because he avoided one of the disputed issues that clouded certain previous paradoxes.

Among others, Bertrand Russell addressed Richard’s Paradox in his first book about the foundations of mathematics.

Let me tip my hat to Andrea Cantini for her article “Paradoxes and Contemporary Logic“, one of my references.
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Publicity for Richard’s Paradox

My Blog of Writing article, “Preview of the Richard Paradox” also provides a free writing tip.

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Thank you for reading about Richard’s Paradox.