Friedrich Paul Mahlo (born 28 July 1883 in Coswig,

Duchy of Anhalt The Duchy of Anhalt () was a historical German duchy. The duchy was located between the Harz Mountains in the west and the River Elbe and beyond to the Fläming Heath in the east. The territory was once ruled by the House of Ascania, and is now ...

; died 20 August 1971 in Halle,

Bezirk Halle The Bezirk Halle was a district (''Bezirk'') of East Germany. The administrative seat and the main town was Halle. History The district was established, with the other 13, on 25 July 1952, substituting the old German states. After 3 October 19 ...

) was a

German German(s) may refer to: * Germany, the country of the Germans and German things **Germania (Roman era) * Germans, citizens of Germany, people of German ancestry, or native speakers of the German language ** For citizenship in Germany, see also Ge ...

mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, mathematical structure, structure, space, Mathematica ...

. Mahlo introduced

Mahlo cardinal In mathematics, a Mahlo cardinal is a certain kind of large cardinal number. Mahlo cardinals were first described by . As with all large cardinals, none of these varieties of Mahlo cardinals can be proven to exist by ZFC (assuming ZFC is consi ...

s in 1911. He also showed that the

continuum hypothesis In mathematics, specifically set theory, the continuum hypothesis (abbreviated CH) is a hypothesis about the possible sizes of infinite sets. It states: Or equivalently: In Zermelo–Fraenkel set theory with the axiom of choice (ZFC), this ...

implies the existence of a

Luzin set In mathematics, a Luzin space (or Lusin space), named for N. N. Luzin, is an uncountable topological T1 space without isolated points in which every nowhere-dense subset is countable. There are many minor variations of this definition in use: th ...

Publications

* PhD dissertation * *

Publications

References

Further reading