[FOM] CFR Varieties of Mathematical Abstraction, Vienna, 1-3 August 2018

[John Wigglesworth]

*Call for Registration*

International Conference “Varieties of Mathematical Abstraction“

Department of Philosophy (NIG, 3rd floor at seminar room 3D)

University of Vienna, August 1-3, 2018

*About the conference:*

Mathematical abstraction is a general phenomenon, one that comes in several
different varieties.  Different forms of abstraction contribute to the
characterization of mathematical structures and the development of
mathematical theories. Mathematical abstraction also plays an important
role in shaping how we think about and understand empirical phenomena.  It
is a process by which we generalize from the properties and relations of
particular objects to the abstract, mathematical structure that those
objects exhibit.  It is a process that can be iterated to achieve higher
levels of abstraction. The main objective of this conference is to explore
the philosophical significance of mathematical abstraction from different
perspectives: metaphysically, epistemologically, historically, and
practically.  Particular attention will be devoted to the role of
abstraction in mathematical practice.  Specifically, the following research
topics will be addressed:

- Abstraction in mathematical practice

- Abstraction in the sciences

- Definition by abstraction

- Fregean abstraction principles

- Historical discussion of any of the above

*Location:*

The conference location is seminar room 3D (3rd floor) in the Neues
Institutsgebäude (NIG) of the University of Vienna, Universitätsstraße 7
<https://maps.google.com/?q=Universit%C3%A4tsstra%C3%9Fe+7&entry=gmail&source=g>,
1010 Vienna:

https://www.google.at/maps/place/Neues+Institutsgeb%C3%A4ude/@48.2140133,16.355572,17z/data=!3m1!4b1!4m5!3m4!1s0x476d07be4572ddb1:0xd60e12f208791d9!8m2!3d48.2140133!4d16.3577607?dcr=0

*Participation Cost:*

Free admission. Everybody is welcome.


*Programme:*

Day 1  Wednesday | August 1, 2018

9:00 (s.t.) – 9:15         Opening

9:15 – 10:15   Øystein Linnebo (Universitetet i Oslo, NOR) "Abstraction and
Grounding“

10:15 – 10:30 Tea/Coffee

10:30 – 12:30 Francesca Boccuni (Università Vita-Salute San Raffaele, ITA)
and Marco Panza (Université Paris 1 - Panthéon-Sorbonne, FRA / Chapman
University, USA) "Abstraction for Real(s)! Frege’s Theory of Real Numbers“

12:30 – 14:30 Lunch

14:30 – 15:30 Paolo Mancosu (UC Berkeley, USA) "Neologicist Foundations:
Inconsistent Abstraction Principles  and Part-Whole“

15:30 – 15:45 Tea/Coffee

15:45 – 16:45 Maria Paola Sforza Fogliani (IUSS Pavia, ITA) and Luca
Zanetti (IUSS Pavia, ITA) "For Better and for Worse: Abstractionism, Good
Company, and Pluralism“


Day 2  Thursday | August 2, 2018

9:00 – 10:00   Jean-Pierre Marquis (Université de Montréal, CAN) "A
Concrete Take on the Abstract Method in Mathematics“

10:00 – 10:15 Tea/Coffee

10:15 – 11:15 Sam Roberts (Universitetet i Oslo, NOR) "Property
Abstraction, Potentialism, and Truth“

11:15 – 12:15 John Wigglesworth (University of Vienna, AUT) "Modal
Semantics for Structural Abstraction“

12:15 – 14:15 Lunch

14:15 – 15:15 Robert Knowles (University of Leeds, GB) "’Explanatory'
Mathematical Abstraction in Science“

15:15 – 15:30 Tea/Coffee

15:30 – 16:30 Bahram Assadian (University of Amsterdam, NL) "Structure
Abstraction and Pure Structures“


Day 3  Friday | August 3, 2018

9:00 – 10:00   Hourya Benis Sinaceur (Université Paris 1 -
Panthéon-Sorbonne, FRA) "Facets and Levels of Mathematical Abstraction"

10:00 – 10:15 Tea/Coffee

10:15 – 11:15 Erich Reck (UC Riverside, USA) "Abstraction and
Abstractionism in the Nineteenth Century“

11:15 – 12:15 Henning Heller (University of Vienna, AUT) "Groups without
Elements“

12:15 – 14:15 Lunch

14:15 – 15:15 Ansten Klev (Filosofický ústav Akademie ved Ceské republiky,
CZ) "Definition by Abstraction from the Point of View of Martin-Löf Type
Theory"




*More Information:*

For more information about the conference, please visit our website:
https://structuralism.phl.univie.ac.at/events/


*Registration:*

To register, please send an e-mail to our project administrator:
florian.kolowrat at univie.ac.at

*Deadline for registration: July 20, 2018*


*Organizers:*

Georg Schiemer, Francesca Biagioli and John Wigglesworth

University of Vienna, Department of Philosophy

ERC Starting Grant Project “The Roots of Mathematical Structuralism”,
Project Nr. 715222.

https://structuralism.phl.univie.ac.at/


This project has received funding from the European Research Council (ERC)
under the European Union’s Horizon 2020 research and innovation programme
(grant agreement No 71522).

The conference is thematically connected to the event “Workshop on Frege’s
logic”, which will be held in Prague July 30th, 2018, Institute of
Philosophy, Czech Academy of Sciences, AKC - Husova 4a 110 00, Prague,
Czech Republic
<https://maps.google.com/?q=Husova+4a+110+00,+Prague,+Czech+Republic&entry=gmail&source=g>
.
-- 
Dr. John Wigglesworth
Postdoctoral Researcher
University of Vienna
www.wigglesworth.org
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