Friedrich Paul Mahlo (born 28 July 1883 in

Coswig, Anhalt Coswig is a town in the district of Wittenberg of Saxony-Anhalt, Germany. It is situated on the right bank of the Elbe, approx. 12 km west of Wittenberg, and 15 km east of Dessau. History The Castle of Coswig was mentioned first in ...

; died 20 August 1971 in

Halle, Saxony-Anhalt Halle (Saale), or simply Halle (; from the 15th to the 17th century: ''Hall in Sachsen''; until the beginning of the 20th century: ''Halle an der Saale'' ; from 1965 to 1995: ''Halle/Saale'') is the largest city of the German state of Saxony-Anh ...

) was a

German German(s) may refer to: * Germany (of or related to) **Germania (historical use) * Germans, citizens of Germany, people of German ancestry, or native speakers of the German language ** For citizens of Germany, see also German nationality law **Ger ...

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, structure, space, models, and change. History On ...

. 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 consist ...

s in 1911. He also showed that the

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

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: t ...

Publications

* PhD dissertation * *

Publications

References

Further reading