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Mathematical fixation: Search viewed through a cognitive lens

Published online by Cambridge University Press:  24 May 2017

Steven Phillips  and
Yuji Takeda
Steven Phillips
Affiliation:
National Institute of Advanced Industrial Science and Technology (AIST), AIST Tsukuba Central 6-11, 1-1-1 Higashi, Tsukuba, Ibaraki 305-8566, Japan. steve@ni.aist.go.jp yuji-takeda@aist.go.jp https://staff.aist.go.jp/steven.phillips https://staff.aist.go.jp/yuji-takeda
Yuji Takeda
Affiliation:
National Institute of Advanced Industrial Science and Technology (AIST), AIST Tsukuba Central 6-11, 1-1-1 Higashi, Tsukuba, Ibaraki 305-8566, Japan. steve@ni.aist.go.jp yuji-takeda@aist.go.jp https://staff.aist.go.jp/steven.phillips https://staff.aist.go.jp/yuji-takeda
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Abstract

We provide a mathematical category theory account of the size and location of the authors' Functional View Field (FVF). Category theory explains systematic cognitive ability via universal construction, that is, a necessary and sufficient condition for composition of cognitive processes. Similarly, FVF size and location is derived from a (universal) construction called a fibre (pullback) bundle.

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Type
Open Peer Commentary
Information
Behavioral and Brain Sciences , Volume 40 , 2017 , e152
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Copyright
Copyright © Cambridge University Press 2017 

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