6, 2015 at 10:00am
Logan (Physics and St. Michael's College, University of Toronto)
Institute, Stewart Library
Shannon's Mathematical Theory of Information made an important
contribution to our general understanding of information and found
many applications in addition to his original engineering objective
of determining the accuracy of transmitting a set of signals from
a sender to a receiver. I suggest that Shannon created a theory
of signals rather than a theory of information because of its lack
of a concern with meaning and interpretation. Shannon readily admitted
his theory was not concerned with the meaning of transmitted signals
when he wrote: "Frequently the messages have meaning... These
semantic aspects of communication are irrelevant to the engineering
problem." This talk will explore the complex nature of information
and the many ways in which this term is used. A distinction is made
between the Shannon's notion of information and biotic information
based on the Kauffman, Logan et al paper entitled The Propagation
of Organization: An Enquiry. We suggested that the constraints that
allow an organism to convert energy from its environment into the
work required to maintain its metabolism represents biotic or instructional
information, which differs from Shannon information. Terrence Deacon
use of information as constraints in his book Incomplete Nature
is described. The talk will also include other results from What
is Information? - Propagating Organization in the Biosphere, the
Symbolosphere, the Technosphere and the Econosphere (Logan 2014).
Attendees at the talk will be offered a free copy of the digital
version of this book.
on Mind in Mathematics: New Frontiers
Annual workshop of the network
Fields Institute FieldsLive video
18, 2013 at 10 a.m.
John Mighton (JUMP and Fields Institute)
The Importance of Teaching Math to Children
Fields Institute, FieldsLive
my talk I will argue that our society is harmed in many ways because
we do not teach children according to their true potential in mathematics.
I will present evidence from psychological and educational research,
as well as evidence gathered by the JUMP program, that ability in
math can be nurtured in virtually all students. I will examine the
barriers that students typically face in learning math and suggest
strategies for reducing those barriers.
John Mighton OC is the founder of JUMP math, a charity dedicated
to improving the teaching of mathematics. He has taught math at
U of T, philosphy at McMaster, and is a fellow of the Fields Institute.
His plays have received a number of national awards,inculding two
Governor General's awards, and have been performed around the world.
Guest Lectures on Studying Mathematical Cognition:
Semiotic and Cognitive Science Perspectives
lectures on the nature of mathematics,
Marcel Danesi Mathematics:
A View from Vico
Rafael Núñez Are
Mathematical Formal Definitions What We Think They Are? Weierstrass,
Continuity, and Modern Cognitive Science
University of Toronto Interdisciplinary
Symposium on the Mind
Sandford Fleming Building, University of Toronto
Workshop on the Interdisciplinary Study of Mathematics
Organizers: Mariana Bockarova, Marcel Danesi, Dragana Martinovic,
John Mighton, Rafael Núñez, & Mark Turner.
Bockarova, M. Danesi, and R. Núñez, eds.,
Semiotic and Cognitive Science Essays on the Nature of Mathematics.
The first volume in the series by M. Danesi (ed.), Interdisciplinary
Studies on the Nature of Mathematics. Munich: Lincom Europa.
on Semiotics, Cognitive Science and Mathematics
(Audio and slides of talks)