The Structure of Analog Representation

Noûs (forthcoming)
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Abstract

This paper develops a theory of analog representation. We first argue that the mark of the analog is to be found in the nature of a representational system’s interpretation function, rather than in its vehicles or contents alone. We then develop the rulebound structure theory of analog representation, according to which analog systems are those that use interpretive rules to map syntactic structural features onto semantic structural features. The theory involves three degree-theoretic measures that capture three independent ways in which a system can be more or less analog. We explain how our theory improves upon prior accounts of analog representation, provides plausible diagnoses for novel challenge cases, extends to hybrid systems that are partially analog and partially symbolic, and accounts for some of the advantages and disadvantages of representing analogically versus symbolically.

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Author Profiles

Gabriel Rabin
New York University, Abu Dhabi
Joshua Myers
New York University
Andrew Y. Lee
Australian National University

References found in this work

New Work for a Theory of Universals.David K. Lewis - 1983 - Australasian Journal of Philosophy 61 (4):343-377.
Knowledge and the Flow of Information.F. Dretske - 1989 - Trans/Form/Ação 12:133-139.
New Work For a Theory of Universals.David Lewis - 1983 - In D. H. Mellor & Alex Oliver (eds.), Properties. Oxford University Press.
Perceptual Pluralism.Jake Quilty-Dunn - 2020 - Noûs 54 (4):807-838.

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