**Frederick Rowbottom** (16 January 1938 – 12 October 2009) was a "British "logician and "mathematician. The "large cardinal notion of "Rowbottom cardinals is named after him.

## Biography[edit]

After graduating from "Cambridge University, Rowbottom studied under "Howard Jerome Keisler at the "University of Wisconsin–Madison, earning his "Ph.D. degree in 1964, with a thesis entitled *Large Cardinals and Small Constructible Sets*, under the supervision of "Jerome Keisler.^{[1]} With a recommendation from "Georg Kreisel, he took a position at the "University of Bristol in 1965, where he spent the rest of his professional career.

He published a paper called "Some strong axioms of infinity incompatible with the axiom of constructibility" in the *Annals of Mathematical Logic*, 3 1971. This paper, together with his thesis, "showed that Ramsey cardinals were weaker than measurable cardinals, and that their existence implied the constructible real continuum was countable; he further proved that this followed also from weaker partition and two cardinal properties."^{[2]} The "large cardinal notion of "Rowbottom cardinals is named after him,^{[3]} as is the notion of a Rowbottom "ultrafilter.^{[4]}

"Keith Devlin studied "set theory under Rowbottom. In 1992 he and a student, Jonathan Chapman, wrote a textbook on "topos theory, *Relative Category Theory and Geometric Morphisms: A Logical Approach*, published in *Oxford Logic Guides*, No. 16.^{[5]}^{[6]}^{[7]} Rowbottom retired in 1993 at the age of 55.

Rowbottom died of heart failure in "Hadfield, England, on 12 October 2009, aged 71.^{[2]}

## References[edit]

**^** Frederick Rowbottom at the "Mathematics Genealogy Project.
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^{a} ^{b} "In Memoriam: Frederick Rowbottom", Notices, *Bulletin of Symbolic Logic*, **16** (2): 299, 2010, "doi:10.2178/bsl/1286889129 .
**^** Tryba, Jan (1981), "A few remarks on Rowbottom cardinals", *Israel Journal of Mathematics*, **40** (3–4): 193–196, "doi:10.1007/BF02761361 .
**^** Feng, Qi (1987), "On the Rowbottom *M*-ultrafilters", *Journal of Symbolic Logic*, **52** (4): 990–993, "doi:10.2307/2273832, "JSTOR 2273832 .
**^** Rowbottom, Frederick and Jonathan Chapman. *Relative Category Theory and Geometric Morphisms: A Logical Approach*, published in *Oxford Logic Guides*, *Oxford University Press*, 1992, "ISBN "978-0-19-853434-1
**^** McLarty, Colin (1994). "Review". *Modern Logic*. **4** (3): 345–348.
**^** "Moerdijk, Ieke (1995). "Review". *Journal of Symbolic Logic*. **60** (2): 694–695. "doi:10.2307/2275864.

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