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[96.235.63.8]) by smtp.gmail.com with ESMTPSA id d20-20020a0cf0d4000000b0063d119034a3sm61454qvl.94.2023.08.03.10.49.11 (version=TLS1_2 cipher=ECDHE-ECDSA-AES128-GCM-SHA256 bits=128/128); Thu, 03 Aug 2023 10:49:12 -0700 (PDT) From: Steve Awodey Content-Type: multipart/mixed; boundary="Apple-Mail=_E5D9BBD1-2040-40B0-8E6C-3D53DF1CD856" Mime-Version: 1.0 (Mac OS X Mail 16.0 \(3731.600.7\)) Date: Thu, 3 Aug 2023 13:49:00 -0400 Subject: [HoTT] Peter Aczel Cc: Andrej Bauer , DANA.SCOTT@cs.cmu.edu, Andrew Pitts , Marc Bezem , Homotopy Type Theory To: Nicola Gambino Message-Id: <3229059E-D300-40BD-9677-B7352CD9DF8F@andrew.cmu.edu> X-Mailer: Apple Mail (2.3731.600.7) X-Original-Sender: awodey@andrew.cmu.edu X-Original-Authentication-Results: gmr-mx.google.com; dkim=pass header.i=@andrew.cmu.edu header.s=google-2021 header.b=QHz7bMaV; spf=pass (google.com: domain of awodey@andrew.cmu.edu designates 2607:f8b0:4864:20::f2d as permitted sender) smtp.mailfrom=awodey@andrew.cmu.edu; dmarc=pass (p=NONE sp=NONE dis=NONE) header.from=andrew.cmu.edu Precedence: list Mailing-list: list HomotopyTypeTheory@googlegroups.com; contact HomotopyTypeTheory+owners@googlegroups.com List-ID: X-Spam-Checked-In-Group: HomotopyTypeTheory@googlegroups.com X-Google-Group-Id: 1041266174716 List-Post: , List-Help: , List-Archive: , List-Unsubscribe: , --Apple-Mail=_E5D9BBD1-2040-40B0-8E6C-3D53DF1CD856 Content-Transfer-Encoding: quoted-printable Content-Type: text/plain; charset="UTF-8" Dear Nicola, Thank you for sharing with us this very sad news about your mentor and frie= nd Peter Aczel. =20 My condolences to you, and to his family of course. Peter was a great logician. He had a very creative and original mind, whic= h tended toward unconventional topics: the type-theoretic interpretation of= constructive set theory, ill-founded set theories, dependently typed theor= ies, unusual modalities. I welcomed his interest in HoTT when we discussed= it in Munich during the two summers that we spent there together, sometime= around 2008-9. He was one of the participants at the original meeting on = =E2=80=9Cthe homotopy interpretation of constructive type theory=E2=80=9D a= t Oberwolfach in 2011. Peter's mathematics, while totally rigorous, was always presented in a simp= le, clear and informal style. As Andrej recalled, it was Peter who propose= d the idea of =E2=80=9Cinformal type theory=E2=80=9D as a WG at the IAS in = 2012. Until then, we had been working in a straight-jacket of formal proof= s + categorical semantics, and it was liberating to simply *use* the type t= heory to reason informally about the intended homotopical interpretation - = in a way that could be made formal (e.g. in a proof assistant), and proven = to be sound - but just once, and then the formal proofs and their explicit = semantics didn=E2=80=99t need to be constantly revisited.=20 His experience with categorical logic, and in particular his idea of logic = enriched type theory, also influenced the development of the language of Ho= TT by extending basic MLTT with type-indexed predicate logical operations l= ike disjunctions and existential quantifiers. Peter was particularly fascinated by univalence (of course), and (if I=E2= =80=99m not mistaken) coined the phrase =E2=80=9Cstructure identity princip= le=E2=80=9D for its extension to algebraic structures. He lectured on this= in Munich and later at CMU. I tried to get him to write a paper on it, bu= t he always said that it was not really his own idea.=20 In addition to being a great logician, Peter was a modest and kind person. = I was very grateful for his friendship during a difficult time at the IAS,= after a sudden death in my family. And I enjoyed visiting him and Helen a= t their house in the Midlands after he retired. =20 Here=E2=80=99s Peter=E2=80=99s website, with some unpublished slides and pr= eprints (I recommend the paper "The Russell-Prawitz Modality=E2=80=9D): http://www.cs.man.ac.uk/~petera/ And attached is a photo of Peter from a visit to Pittsburgh in 2016 (note t= he hat). We have lost an inspiring intellect and a dear colleague. In sadness, Steve --=20 You received this message because you are subscribed to the Google Groups "= Homotopy Type Theory" group. To unsubscribe from this group and stop receiving emails from it, send an e= mail to HomotopyTypeTheory+unsubscribe@googlegroups.com. 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dAiTxE+rTcQwzbZoRnq/zRHbj1I468Zr6GOl6bpenx3JgneWVp+EQZS4JG05clQG+7nk9xXmfh0W Eugu2heYVjPm3EmGD/Lna4OOAMgZ7V6lZ3tzNf2Frf3BjvYkEhR8tsUHarOCNpwG4HPTnjmvKx9W VWo5y6aW66Bpq2f/2Q== --Apple-Mail=_E5D9BBD1-2040-40B0-8E6C-3D53DF1CD856 Content-Transfer-Encoding: quoted-printable Content-Type: text/plain; charset="UTF-8" > On Aug 3, 2023, at 4:12 AM, Nicola Gambino wrote: >=20 > Dear colleagues and friends, >=20 > I write to let you know of the sad news that Peter Aczel passed away on A= ugust 1st. >=20 > As many readers of this list surely know, Peter made many fundamental and= deeply influential contributions to Logic, Computer Science, Category Theo= ry, and Constructive Mathematics. He had an active interest in Homotopy Typ= e Theory and Univalent Foundations from the early days of the subjects, par= ticipating in the Oberwolfach meeting in 2011 and the Special Year at the I= nstitute for Advanced Study in 2012/13. >=20 > I had the good fortune of having him as PhD supervisor and we remained in= contact since then. I always admired his clarity of thinking and his kindn= ess. He will be deeply missed. >=20 > With best regards, > Nicola >=20 > =3D > Dr Nicola Gambino > Department of Mathematics, University of Manchester >=20 > --=20 > You received this message because you are subscribed to the Google Groups= "Homotopy Type Theory" group. > To unsubscribe from this group and stop receiving emails from it, send an= email to HomotopyTypeTheory+unsubscribe@googlegroups.com. > To view this discussion on the web visit https://groups.google.com/d/msgi= d/HomotopyTypeTheory/1670F781-BEB6-45D0-9466-DA546711E329%40manchester.ac.u= k. >=20 --=20 You received this message because you are subscribed to the Google Groups "= Homotopy Type Theory" group. To unsubscribe from this group and stop receiving emails from it, send an e= mail to HomotopyTypeTheory+unsubscribe@googlegroups.com. To view this discussion on the web visit https://groups.google.com/d/msgid/= HomotopyTypeTheory/3229059E-D300-40BD-9677-B7352CD9DF8F%40andrew.cmu.edu. --Apple-Mail=_E5D9BBD1-2040-40B0-8E6C-3D53DF1CD856--