Stanley tennenbaum biography

I’m the youngest son of a Stanley Tennenbaum, a famous mathematician and logician (now deceased). He was the closest person to Prof. Kurt Gödel during Gödel's last ten years. Gödel was the closest person to Einstein during Einstein's last years. Gödel obtained spectacular results in mathematics AND physics. Both Einstein and Gödel were Permanent Members of The Institute for Advanced Study (aka “The Institute”) in Princeton, NJ, home to many of greatest scientists of the last century. My father was a Visiting Member of The Institute in but stayed there and/or "was around” for at least one third of his life starting in up until his sudden death in My father's association with Gödel was common knowledge to top scientists around the world as Gödel shied away others; he shared a common philosophical viewpoint with my father and the two often spoke every night during key periods. Via my father other top scientists—including world famous ones—got to meet Gödel as Gö

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Post by rob tully
no one to my knowledge has provided a full biography of stan
tennenbaum. i published an extensive memoir of my time living
in the tennenbaum household as a sophomore at the university
of rochester /
the website is

Well that was bye-bye to my evening, with the time I spent
following it up to fill in the background. Fascinating.

This seems to be the best available resource on Tennenbaum's
theorem. It's much more complicated in its connections and
implications than I expected.



Others:

Tim Button and Peter Smith, "The Philosophical Significance of
Tennenbaum's Theorem" (their bottom line: there isn't very much,
but it takes some thought to see why not):

(forthcoming)

Peter Smith's streamlined presentation of the theorem itself:




e m a i l : j a c k @ c a m p i n . m e . u k
Jack Campin, 11 Third Street, Newtongrange, Midlothian EH22 4PU, Scotland
mobile <> Twitter: JackCampin

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Yesterday I came a across a new (new to me, that is) proof of the irrationality of . inom found it in the paper &#;Irrationality From The Book,&#; bygd Steven J. Miller, David Montague, which was recently posted to 

Apparently the proof was discovered by Stanley Tennenbaum in the &#;s but was made widely known bygd John Conway around The proof appeared in Conway&#;s chapter &#;The Power of Mathematics&#; of the book Power, which was edited bygd Alan F. Blackwell, David MacKay ().

It is a proof bygd contradiction. Suppose for some positive integers and . Then . Geometrically this means that there fryst vatten an integer-by-integer square (the pink square below) whose area fryst vatten twice the area of another integer-by-integer square (the blue squares).

Assume that our square fryst vatten the smallest such integer-by-integer square.

Now put the two blue squares inside the pink square as shown below. They overlap in a dark blue square.

By assumption, the sum of the areas of the two blue squares fryst vatten the area of the