Intersection of Social Epistemology and Mathematics
Project:
“Collective Knowledge in
Mathematics”
•
Line Edslev Andersen (Vrije Universiteit Brussel)
•
Joachim Frans (Vrije Universiteit Brussel)
•
Yacin Hamami (ETH Zurich)
•
Bart Van Kerkhove (Vrije Universiteit Brussel)
Social
epistemology of
mathematics
Social
epistemology
Silvia De Toffoli, 2023, “The Epistemological Subject(s) of Mathematics,” Sect.
2.4:
Putting at the center of epistemological inquiries non-ideal subjects
embedded in a specific mathematical practice obliges us to look at the
social dimension of mathematics. In point of fact, contrary to the
romantic image of the mathematician working in isolation, most
members of a mathematical practice interact systematically with each
other and with the broader mathematical community. It is for this
reason that the epistemic norms at play in mathematics present a social
dimension.
2010
A.
What does it mean to say that
the mathematical community
knows
that
p
?
B.
What does our answer to A tell us about
the mathematical
community
as a
social epistemic
subject
?
C.
What do the answers to A and B tell us about the
reliability
of
mathematical knowledge
?
Two
points of departure
, two
intended audiences
We aim to:
•
use
the literature on
social epistemology
to contribute to the
philosophy of mathematics
•
contribute
to the literature on
social epistemology
by doing
philosophy of mathematics
.
social epistemology
philosophy of mathematics
→
←
social epistemology
philosophy of mathematics
→
Hanne
Andersen
Henrik Kragh
Sørensen
social epistemology
philosophy of mathematics
Hanne
Andersen
Henrik Kragh
Sørensen
←
A.
What does it mean to say that
the mathematical community
knows
that
p
?
B.
What does our answer to A tell us about
the mathematical
community
as a
social epistemic
subject
?
C.
What do the answers to A and B tell us about the
reliability
of
mathematical knowledge
?
social epistemology
philosophy of mathematics
←
Common view in social epistemology:
Group
knowledge
can be accounted for in terms of the
mental states
of the individual group members.
Common view in social epistemology:
Group
knowledge
can be accounted for in terms of the
mental states
of the individual group members.
Common view in social epistemology:
Group
knowledge
can be accounted for in terms of the
mental states
of the individual group members.
Our question:
Can the
common view
be maintained in the face of
mathematics
?
Delve into the intertwining realms of social epistemology and mathematics, examining the collaborative knowledge creation within the mathematical community. This work emphasizes the social dimensions influencing mathematical practices and the epistemic norms shaping reliable mathematical knowledge.
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Presentation Transcript
Project: Collective Knowledge in Mathematics Line Edslev Andersen (Vrije Universiteit Brussel) Joachim Frans (Vrije Universiteit Brussel) Yacin Hamami (ETH Zurich) Bart Van Kerkhove (Vrije Universiteit Brussel)
Silvia De Toffoli, 2023, The Epistemological Subject(s) of Mathematics, Sect. 2.4: Putting at the center of epistemological inquiries non-ideal subjects embedded in a specific mathematical practice obliges us to look at the social dimension of mathematics. In point of fact, contrary to the romantic image of the mathematician working in isolation, most members of a mathematical practice interact systematically with each other and with the broader mathematical community. It is for this reason that the epistemic norms at play in mathematics present a social dimension.
A. What does it mean to say that the mathematical community knows that p? B. What does our answer to A tell us about the mathematical community as a social epistemic subject? C. What do the answers to A and B tell us about the reliability of mathematical knowledge?
Two points of departure, two intended audiences We aim to: use the literature on social epistemology to contribute to the philosophy of mathematics contribute to the literature on social epistemology by doing philosophy of mathematics.
social epistemology philosophy of mathematics Hanne Andersen Henrik Kragh S rensen
social epistemology philosophy of mathematics Hanne Andersen Henrik Kragh S rensen
A. What does it mean to say that the mathematical community knows that p? B. What does our answer to A tell us about the mathematical community as a social epistemic subject? C. What do the answers to A and B tell us about the reliability of mathematical knowledge?
Common view in social epistemology: Group knowledge can be accounted for in terms of the mental states of the individual group members.
Common view in social epistemology: Group knowledge can be accounted for in terms of the mental states of the individual group members.
Common view in social epistemology: Group knowledge can be accounted for in terms of the mental states of the individual group members. Our question: Can the common view be maintained in the face of mathematics?
