# Petr Vopěnka

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Petr Vopěnka | |
---|---|

Petr Vopěnka in 2009 | |

Born | |

Died | 20 March 2015 | (aged 79)

Nationality | Czech |

Alma mater | Mathematics and Physics Faculty, Charles University in Prague |

Scientific career | |

Doctoral students | Bohuslav Balcar Petr Hájek Karel Hrbáček Thomas Jech |

**Petr Vopěnka** (16 May 1935 – 20 March 2015) was a Czech mathematician. In the early seventies, he developed alternative set theory (i.e. alternative to the classical Cantor theory), which he subsequently developed in a series of articles and monographs. Vopěnka’s name is associated with many mathematical achievements,^{[1]}^{[2]} including Vopěnka's principle.
Since the mid-eighties he concerned himself with philosophical questions of mathematics (particularly vis-à-vis Husserlian phenomenology).

Vopěnka served as the Minister of Education of the Czech Republic (then part of Czechoslovakia) from 1990 to 1992 within the government of Prime Minister Petr Pithart.^{[3]}

## Contents

## Biography[edit]

Petr Vopěnka grew up in small town of Dolní Kralovice. After finishing gymnasium in Ledeč nad Sázavou in 1953 he went to study mathematics at the Mathematics and Physics Faculty of Charles University in Prague, graduating in 1958. In 1962 he was made Candidate of Sciences (CSc) and in 1967 Doctor of Science (DrSc), his advisors were Eduard Čech and Ladislav Rieger.^{[4]}

Starting in 1958 Vopěnka taught at the Mathematics and Physics Faculty, since 1964 as lecturer, since 1965 as senior lecturer. In 1968 he was made professor but was prevented to take this title until 1990 due to political reasons. Between 1966 and 69 Vopěnka served as Vice Dean of the faculty.

In 1967 Vopěnka became head of the newly established Department of Mathematical Logic; the department was abolished in 1970 and Vopěnka, though allowed to stay at the university, fell into disfavour with the regime which limited his contacts with foreign mathematicians. During the 1970s and 1980s he concentrated on philosophy and history of mathematics and on phenomenology of infinity.

After the Velvet Revolution, in January 1990, Vopěnka became Deputy Rector of the Charles University. Between June 1990 - July 1992 he served as Minister of Education of the Czech Republic (then part of Czechoslovakia). In this position he, without much of success and facing protests from the teachers, attempted to institute school reforms.

In 1992 the Department of Mathematical Logic was reopened and Vopěnka became its head. In 2000 he retired from the Charles University and the department was closed; until 2009 Vopěnka worked as a professor at the Jan Evangelista Purkyně University in Ústí nad Labem, in the Department of Mathematics of the Faculty of Science.

Petr Vopěnka also participated in translation and publishing of early mathematical texts (such as works of Euclid and Al-Khwarezmi) into Czech language and then he worked at the Department of Philosophy and Department of Interdisciplinary Activities, University of West Bohemia in Pilsen.

## Bibliography[edit]

- Petr Vopěnka (2004).
*Horizonty nekonečna*. Prague: Moraviapress. ISBN 80-86181-66-9. - Petr Vopěnka (1999).
*Úhelný kámen evropské vzdělanosti a moci*. Prague: Práh. ISBN 80-7252-022-9. - Petr Vopěnka (1989).
*Introduction to mathematics in the alternative set theory*. Bratislava: Alfa. ISBN 80-05-00438-9. - Petr Vopěnka (1979).
*Mathematics in the Alternative Set Theory*. Leipzig: Teubner. ASIN B0006E3AXY. - Petr Vopěnka, Petr Hájek (1972).
*The Theory of Semisets*. Amsterdam, Prague: North-Holland. ISBN 0-7204-2267-1.

## See also[edit]

## Notes[edit]

**^**"Petr Vopěnka Biography" (PDF). Archived from the original (PDF) on 2007-09-29.**^**Antonín Sochor (2001). "Petr Vopěnka (born 16. 5. 1935)".*Ann. Pure Appl. Logic*.**109**(1–2): 1–13. doi:10.1016/S0168-0072(01)00037-9.**^**"Czech mathematician, former minister Petr Vopěnka dies".*Prague Daily Monitor*. 2015-03-23. Retrieved 2015-04-05.**^**Petr Vopěnka at the Mathematics Genealogy Project

## References[edit]

- Vopěnka, P. (2001) [1994], "Alternative set theory", in Hazewinkel, Michiel (ed.),
*Encyclopedia of Mathematics*, Springer Science+Business Media B.V. / Kluwer Academic Publishers, ISBN 978-1-55608-010-4 - Antonín Sochor (November 1993). "Interpretations of the alternative set theory".
*Archive for Mathematical Logic*. Berlin / Heidelberg: Springer.**32**(6): 391–398. doi:10.1007/BF01270464. - various (1979–1990). "Papers of different authors published".
*Comm. Math. Univ. Carolinae*. ISSN 0010-2628. - Petr Vopěnka (1989).
*Proceedings of the 1 st Symposium Mathematics in the alternative set theory*. Bratislava: Union of Slovak Mathematicians and Physicists. ISBN _. - Azriel Levy; Vopěnka, Petr (1984). "Mathematics in the Alternative set Theory by Petr Vopenka".
*The Journal of Symbolic Logic*; the Journal of Symbolic Logic, Vol. 49, No. 4.**49**(4): 1423–1424. doi:10.2307/2274302. JSTOR 2274302.

## Further reading[edit]

- VIZE 97. "Petr Vopěnka Biography" (PDF). Archived from the original (PDF) on 2007-09-29. Retrieved 2007-07-27. Cite uses deprecated parameter
`|deadurl=`

(help) - Akihiro Kanamori (2007). "Set Theory from Cantor to Cohen" (PDF).
*The Mathematical Development of Set Theory from Cantor to Cohen (significant revision)*. - Jiří Fiala (5 October 2004). "Laudatio - VIZE 97 Award to Petr Vopenka" (PDF) (in Czech). VIZE 97. Archived from the original (PDF) on 26 July 2011. Cite uses deprecated parameter
`|deadurl=`

(help) - Antonín Sochor (2001). "Petr Vopěnka (born 16. 5. 1935)".
*Ann. Pure Appl. Logic*.**109**(1–2): 1–13. doi:10.1016/S0168-0072(01)00037-9. Archived from the original on 2007-09-27. Cite uses deprecated parameter`|deadurl=`

(help) - Antonín Sochor (2000). "Petr Vopěnka (born 16. 5. 1935)".
*Pokroky Mat. Fyz. Astron.*(in Czech).**45**(2): 125–134. ISSN 0032-2423. - Akihiro Kanamori (1996). "The Mathematical Development of Set Theory from Cantor to Cohen".
*The Bulletin of Symbolic Logic*; the Bulletin of Symbolic Logic, Vol. 2, No. 1.**2**(1): 1–71. CiteSeerX 10.1.1.28.1664. doi:10.2307/421046. JSTOR 421046.

## External links[edit]

- Short biography in English
- Documentary about Vopěnka (in Czech with English subtitles, freely downloadable)

- 1935 births
- 2015 deaths
- Government ministers of the Czech Republic
- Czech mathematicians
- Czech philosophers
- Set theorists
- Historians of mathematics
- Recipients of Medal of Merit (Czech Republic)
- Mathematicians from Prague
- University of West Bohemia faculty
- Christian Democratic Party (Czech Republic) politicians