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{
Sipur and Mispar in Ibn Ezra's Sefer HaMispar
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\centerline{ {\it
Doron 
ZEILBERGER}\footnote{$^1$}
{\eightrm  \raggedright
Department of Mathematics, Rutgers University (New Brunswick),
Hill Center-Busch Campus, 110 Frelinghuysen Rd., Piscataway,
NJ 08854-8019, USA.
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{\eighttt zeilberg  at math dot rutgers dot edu} ,
\hfill \break
{\eighttt http://www.math.rutgers.edu/\~{}zeilberg} .
First version: Oct. 14, 2005.
Transcript of a talk delivered (July 12, 2005, 10:30-11:00am local time)
at the ``Math and Narrative'' meeting
organized by Thales \& Friends under the leadership of Apostolos Doxiadis,
Mykonos, July 12-15, 2005. 
Supported in part by the NSF.
}
}

Rabbi Abraham Ben Meir Ibn Ezra (1092-1167) was one of the
all-time greatest in the following categories:

$\bullet$ Poetry
\smallskip
$\bullet$ Biblical Exegesis
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$\bullet$ Grammar
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$\bullet$ Philosophy
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$\bullet$ Mathematics

But he was most proud of his contributions to

$\bullet$ Astrology


He had a very hard life, as he testifies himself in one of his many poems
(translated by Leon J. Weinberger[W], p. 65)

{\it Early I set out for the patron's home;

They say: He is off riding;

I return toward evening,

They say: He is already sleeping;

He either mounts a horse or climbs into bed;

Woe to the wretched man who is unlucky!}

But Ibn Ezra  took it well, since he knew that he was `born without a star',
and that was his destiny. Unlike other Jewish notables in Spain of the time, who were
well-to-do, many of whom making their living as doctors, our hero was usually
penny-less. There were two particularly tragic event in his life. The
first one being exiled by  a new regime of `fundamentalist' Moslems, who displaced
the former enlightened rule of moderate Islam, that gave the Jews the alternative to
convert or leave. That's how he winded up in Italy, France, and England, and perhaps
it was just as well, because all of his important books and biblical commentary were
written then, in part to support himself. A bigger tragedy was that his son Isaac,
a notable poet on his own right, converted to Islam. This inspired a beautiful eulogy ([W], p. 92):

{\it Father to child, approach and mourn

For God has removed from you

Your son, your only son

Whom you loved, even Issac}


Ibn Ezra was way ahead of his time in many ways. For example, his abstract, pantheist
notion of God, that deeply influenced Baruch Spinoza five hundred years later.
He was also a pioneer in his attitude to {\bf sex}. In his commentary
to Leviticus he says:

{\it It is known that there are three kinds of sexual intercourse, the first
for procreation without desire, the second for easing the weariness of the body
and the third for satisfying beastly desire}

So he extended the traditional {\bf dichomoty} of {\bf good} vs. {\bf bad} sex
to a {\it trichotomy}, recoginzing that sometimes we need to have sex for
mental and physical health reasons.

Ibn Ezra was a also a great puzzlist. The following version of the
extended Josephus problem is attributed to him.

{\it One day the rabbi was in a ship with fifteen of his disciples and
fifteen crooks, altogether thirty people. And it came to pass that
God sent a big storm, and the sea was so high that the ship was about 
passages of his famous biblical commentary. But he only wrote one mathematical
text, ``Sefer HaMispar'' which means ``book of number''. I wish that all
textbooks would be written like this one. 
First, it is a pedagogical masterpiece,
since




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