Peter Aczel

Peter Aczel
Aczel in 2006
Born
Peter Henry George Aczel

(1941-10-31)31 October 1941
Died(2023-08-01)1 August 2023
NationalityBritish
Alma materUniversity of Oxford
Known forAczel's anti-foundation axiom
Reflexive sets
Constructive set theory (CZF)
Scientific career
FieldsMathematical logic
Institutions
Thesis Mathematical Problems in Logic  (1967)
Doctoral advisorJohn Newsome Crossley
Websitewww.cs.man.ac.uk/~petera/

Peter Henry George Aczel (/ˈæksəl/; 31 October 1941 – 1 August 2023) was a British mathematician, logician and Emeritus joint Professor in the Department of Computer Science and the School of Mathematics at the University of Manchester.[1] He is known for his work in non-well-founded set theory,[2] constructive set theory,[3][4] and Frege structures.[5][6]

Education

Aczel completed his Bachelor of Arts in Mathematics in 1963[7] followed by a DPhil at the University of Oxford in 1966 under the supervision of John Crossley.[1][8]

Career and research

After two years of visiting positions at the University of Wisconsin–Madison and Rutgers University, Aczel took a position at the University of Manchester. He has also held visiting positions at the University of Oslo, California Institute of Technology, Utrecht University, Stanford University, and Indiana University Bloomington.[7] He was a visiting scholar at the Institute for Advanced Study in 2012.[9]

Aczel was on the editorial board of the Notre Dame Journal of Formal Logic[10] and the Cambridge Tracts in Theoretical Computer Science, having previously served on the editorial boards of the Journal of Symbolic Logic and the Annals of Pure and Applied Logic.[7][11]

He died on 1 August 2023.[12]

References

  1. ^ a b Peter Aczel at the Mathematics Genealogy Project
  2. ^ Moss, Lawrence S. (February 20, 2018). "Non-wellfounded Set Theory". In Zalta, Edward N. (ed.). The Stanford Encyclopedia of Philosophy. Metaphysics Research Lab, Stanford University – via Stanford Encyclopedia of Philosophy.
  3. ^ Aczel, P. (1977). "An Introduction to Inductive Definitions". Handbook of Mathematical Logic. Studies in Logic and the Foundations of Mathematics. Vol. 90. pp. 739–201. doi:10.1016/S0049-237X(08)71120-0. ISBN 9780444863881.
  4. ^ Aczel, P.; Mendler, N. (1989). "A final coalgebra theorem". Category Theory and Computer Science. Lecture Notes in Computer Science. Vol. 389. p. 357. doi:10.1007/BFb0018361. ISBN 3-540-51662-X.
  5. ^ Aczel, P. (1980). "Frege Structures and the Notions of Proposition, Truth and Set". The Kleene Symposium. Studies in Logic and the Foundations of Mathematics. Vol. 101. pp. 31–32. doi:10.1016/S0049-237X(08)71252-7. ISBN 9780444853455.
  6. ^ Peter Aczel at DBLP Bibliography Server Edit this at Wikidata
  7. ^ a b c "Peter Aczel page the University of Manchester".
  8. ^ Aczel, Peter (1966). Mathematical problems in logic (DPhil thesis). University of Oxford.(subscription required)
  9. ^ "Scholars". Institute for Advanced Study. 14 August 2015.
  10. ^ Dame, Marketing Communications: Web | University of Notre. "Notre Dame Journal of Formal Logic". Notre Dame Journal of Formal Logic.{{cite web}}: CS1 maint: multiple names: authors list (link) CS1 maint: numeric names: authors list (link)
  11. ^ "Annals of Pure and Applied Logic" – via www.journals.elsevier.com.
  12. ^ "Fom - [FOM] Peter Aczel - arc".

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