Stanley Tennenbaum

Stanley Tennenbaum (April 11, 1927 – May 4, 2005) was an American mathematician who contributed to the field of logic.^[1] In 1959, he published Tennenbaum's theorem, which states that no countable nonstandard model of Peano arithmetic (PA) can be recursive, i.e. the operations + and × of a nonstandard model of PA are not recursively definable in the + and × operations of the standard model.^[2]

References

1. "A conference in memory of Stanley Tennenbaum". mamls.org.
2. Stanley Tennenbaum (1959). "Non-archimedean models for arithmetic". Notices of the American Mathematical Society 6: 270.

External links

• http://mamls.org/Tennenbaum
• Historical Remarks on Suslin's Problem Article by Akihiro Kanamori describing some of Tennenbaum's work, with some biographical info.