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A New Foundation for Representation in Cognitive and Brain Science : Category Theory and the...
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A New Foundation for Representation in Cognitive and Brain Science : Category Theory and the Hippocampus
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Description
Rating
Title
A
New
Foundation
for
Representation
in
Cognitive
and
Brain
Science
:
Category
Theory
and the
Hippocampus
Creator
GomezRamirez, Jaime
DescriptionAbstract
The
purpose
of the
book
is
to
advance
in the
understanding
of
brain
function
by
defining
a
general
framework
for
representation
based
on
category
theory
. The
idea
is
to
bring
this
mathematical
formalism
into the
domain
of
neural
representation
of
physical
spaces
,
setting
the
basis
for a
theory
of
mental
representation
,
able
to
relate
empirical
findings
,
uniting
them into a
sound
theoretical
corpus
. The
innovative
approach
presented
in the
book
provides
a
horizon
of
interdisciplinary
collaboration
that
aims
to
set
up
a
common
agenda
that
synthesizes
mathematical
formalization
and
empirical
procedures
in a
systemic
way
.
Category
theory
has been
successfully
applied
to
qualitative
analysis
,
mainly
in
theoretical
computer
science
to
deal
with
programming
language
semantics
.
Nevertheless
, the
potential
of
category
theoretic
tools
for
quantitative
analysis
of
networks
has not been
tackled
so
far
.
Statistical
methods
to
investigate
graph
structure
typically
rely
on
network
parameters
.
Category
theory
can
be
seen
as an
abstraction
of
graph
theory
.
Thus
,
new
categorical
properties
can
be
added
into
network
analysis
and
graph
theoretic
constructs
can
be
accordingly
extended
in
more
fundamental
basis
. By
generalizing
networks
using
category
theory
we
can
address
questions
and
elaborate
answers
in a
more
fundamental
way
without
waiving
graph
theoretic
tools
. The
vital
issue
is
to
establish
a
new
framework
for
quantitative
analysis
of
networks
using
the
theory
of
categories
, in
which
computational
neuroscientists
and
network
theorists
may
tackle
in
more
efficient
ways
the
dynamics
of
brain
cognitive
networks
. The
intended
audience
of the
book
is
researchers
who
wish
to
explore
thevalidity
of
mathematical
principles
in the
understanding
of
cognitive
systems
.
All
the
actors
in
cognitive
science
:
philosophers
,
engineers
,
neurobiologists
,
cognitive
psychologists
,
computer
scientists
etc. are
akin
to
discover
along
its
pages
new
unforeseen
connections
through
the
development
of
concepts
and
formal
theories
described
in the
book
.
Practitioners
of
both
pure
and
applied
mathematics
e.g.
,
network
theorists
, will be
delighted
with the
mapping
of
abstract
mathematical
concepts
in the
terra
incognita
of
cognition
DescriptionTable Of Contents
Preface

Research
tools
and
paradigms

State
of the
Art
:
Mathematical
approaches
in
brain
science

The
Categorical
Imperative
:
Category
theory
in
Cognitive
and
Brain
Science

Elementary
principles
in
cognitive
systems
modeling

The
shift
towards
structure

A
general
framework
for
representation

Towards
a
Theory
of
Brain
Structure
and
Function

A
theory
of
hippocampus
structure
and
function
based
on
Category
Theory

From
Cells
to
Memories
. A
Categorical
Approach

Epilogue
.
Publisher
Springer Netherlands
Subject
Medicine
Neurosciences
Neurology
Artificial intelligence
Algebra
Applied psychology
Biomedicine
Neurosciences
Category Theory, Homological Algebra
Philosophy
Neurology
Artificial Intelligence (incl Robotics)
Biological Psychology
Identifier (Full text)
9789400777385
;
http://dx.doi.org/10.1007/9789400777385
Language
eng
Type
Text
FormatExtent
1 online resource (XXIII, 193 p.)
Date
2014
RelationIs Part Of
Springer Series in Cognitive and Neural Systems
7
OCLC number
913565735
CONTENTdm number
10467
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