Mathematical fixation: Search viewed through a cognitive lens. (2017)

• Record Type: Journal Article
• Authors: Phillips, Steven; Takeda, Yuji
• Is Part Of: Behavioral and brain sciences. Volume 40(2017)
• Publication Date: 2017
• Subjects: Psychophysiology -- Periodicals; Psychology -- Periodicals; Human behavior -- Periodicals; Animal behavior -- Periodicals; Brain -- Periodicals; 616.89142
• DOI: 10.1017/S0140525X16000224
• Languages: English
• ISSNs: 0140-525X

Abstract

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.