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Can an ICS Architecture Meet the Systematicity and Productivity Challenges?

Brian P. McLaughlin

in The Architecture of Cognition: Rethinking Fodor and Pylyshyn's Systematicity Challenge

Published in print:
2014
Published Online:
September 2014
ISBN:
9780262027236
eISBN:
9780262322461
Item type:
chapter
Publisher:
The MIT Press
DOI:
10.7551/mitpress/9780262027236.003.0002
Subject:
Philosophy, Philosophy of Mind

After spelling out the systematicity challenge to connectionism, I examine Paul Smolensky and Géraldine Legendre's attempt to meet the challenge by appeal to a kind of architecture that they label ... More


Basics

Chris Heunen and Jamie Vicary

in Categories for Quantum Theory: An Introduction

Published in print:
2019
Published Online:
January 2020
ISBN:
9780198739623
eISBN:
9780191802584
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198739623.003.0009
Subject:
Mathematics, Mathematical Physics, Applied Mathematics

This book assumes familiarity with some basic ideas from category theory, linear algebra and quantum computing. This self-contained chapter gives a quick summary of the essential aspects of these ... More


Monoidal Categories

Chris Heunen and Jamie Vicary

in Categories for Quantum Theory: An Introduction

Published in print:
2019
Published Online:
January 2020
ISBN:
9780198739623
eISBN:
9780191802584
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198739623.003.0001
Subject:
Mathematics, Mathematical Physics, Applied Mathematics

A monoidal category is a category equipped with extra data, describing how objects and morphisms can be combined in parallel. This chapter introduces the theory of monoidal categories, including ... More


Categories for Quantum Theory: An Introduction

Chris Heunen and Jamie Vicary

Published in print:
2019
Published Online:
January 2020
ISBN:
9780198739623
eISBN:
9780191802584
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198739623.001.0001
Subject:
Mathematics, Mathematical Physics, Applied Mathematics

Monoidal category theory serves as a powerful framework for describing logical aspects of quantum theory, giving an abstract language for parallel and sequential composition and a conceptual way to ... More


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