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UID:/NewsandEvents/Archives/current/newsitem/12304
/15-January-2021-Philosophy-of-Mathematics-Φ-Math-
Book-Presentation
DTSTAMP:20210110T165659
SUMMARY:Philosophy of Mathematics (Φ-Math) Book Pr
esentation
DTSTART;TZID=Europe/Amsterdam:20210115T180000
DTEND;TZID=Europe/Amsterdam:20210115T191500
LOCATION:Online via Zoom
DESCRIPTION:Our Philosophy of Mathematics Reading
Group has the honor to start 2021 by hosting Luca
Incruvati presenting his 2020 book 'Conceptions of
Set and the Foundations of Mathematics' published
by the Cambridge University Press. The book is ac
cessible from the UvA Library. Book Summary: Sets
are central to mathematics and its foundations, b
ut what are they? In this book Luca Incurvati prov
ides a detailed examination of all the major conce
ptions of set and discusses their virtues and shor
tcomings, as well as introducing the fundamentals
of the alternative set theories with which these c
onceptions are associated. He shows that the conce
ptual landscape includes not only the naïve and it
erative conceptions but also the limitation of siz
e conception, the definite conception, the stratif
ied conception and the graph conception. In additi
on, he presents a novel, minimalist account of the
iterative conception which does not require the e
xistence of a relation of metaphysical dependence
between a set and its members. His book will be of
interest to researchers and advanced students in
logic and the philosophy of mathematics.
X-ALT-DESC;FMTTYPE=text/html:\n Our Philosophy
of Mathematics Reading Group has the honor to sta
rt 2021 by hosting *Luca Incruvati* present
ing his 2020 book '*Conceptions of Set and the
Foundations of Mathematics*' published by the
Cambridge University Press. The book is accessible
from the UvA Library.

\n\n Book Summary: S
ets are central to mathematics and its foundations
, but what are they? In this book Luca Incurvati p
rovides a detailed examination of all the major co
nceptions of set and discusses their virtues and s
hortcomings, as well as introducing the fundamenta
ls of the alternative set theories with which thes
e conceptions are associated. He shows that the co
nceptual landscape includes not only the naïve and
iterative conceptions but also the limitation of
size conception, the definite conception, the stra
tified conception and the graph conception. In add
ition, he presents a novel, minimalist account of
the iterative conception which does not require th
e existence of a relation of metaphysical dependen
ce between a set and its members. His book will be
of interest to researchers and advanced students
in logic and the philosophy of mathematics.

\n
URL:https://sites.google.com/view/phi-math/meeting
s
CONTACT:Evan Iatrou at evangelos.iat at gmail.com
CONTACT:Noel Arteche at noel.arteche at gmail.com
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