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UID:/NewsandEvents/Archives/current/newsitem/12281
/16-January-2021-Formalize---A-philosophical-educa
tional-perspective-on-formalization-in-mathematics
DTSTAMP:20201231T144237
SUMMARY:Formalize!(?) - A philosophical & educatio
nal perspective on formalization in mathematics
DTSTART;TZID=Europe/Amsterdam:20210116T155000
DTEND;TZID=Europe/Amsterdam:20210116T200000
LOCATION:Online via Zoom
DESCRIPTION:It is often said, that all of mathemat
ics can be reduced to first-order logic and set th
eory. The derivation indicator view says that all
proofs stand in some relation to a derivation, i.e
. a mechanically checkable syntactical objects fol
lowing fixed rules, that would not have any gaps.
For a long time this was a mere hope. There may ha
ve been proofs of concepts from early logicists bu
t derivation never played a big role in mathematic
al practice. The modern computer might change this
. Interactive and automated theorem provers promis
e to make the construction of a justification with
out any gaps feasible for complex mathematics. Is
this promise justified? Will the future of mathem
atical practice shift to more formal mathematics?
Should it? We are organizing a one-day online work
shop to commemorate the World Logic Day, on the to
pic of formalization in mathematics. We hope to il
luminate such questions and focus especially on wh
at these developments mean for the future of the c
urriculum of university students.This event featur
es speakers speaking about both concrete projects
and reflections on such endeavours in general.
X-ALT-DESC;FMTTYPE=text/html:\n It is often sa
id, that all of mathematics can be reduced to firs
t-order logic and set theory. The derivation indic
ator view says that all proofs stand in some relat
ion to a derivation, i.e. a mechanically checkable
syntactical objects following fixed rules, that w
ould not have any gaps. For a long time this was a
mere hope. There may have been proofs of concepts
from early logicists but derivation never played
a big role in mathematical practice. The modern co
mputer might change this. Interactive and automate
d theorem provers promise to make the construction
of a justification without any gaps feasible for
complex mathematics.

\n\n Is this promise j
ustified? Will the future of mathematical practice
shift to more formal mathematics? Should it? We a
re organizing a one-day online workshop to commemo
rate the World Logic Day, on the topic of formaliz
ation in mathematics. We hope to illuminate such q
uestions and focus especially on what these develo
pments mean for the future of the curriculum of un
iversity students.This event features speakers spe
aking about both concrete projects and reflections
on such endeavours in general.

\n
URL:https://sites.google.com/view/wldzurich2021/
CONTACT:José Antonio Pérez Escobar at jose.perez a
t gess.ethz.ch
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