Noûs (forthcoming)

Authors
Gabriel Rabin
New York University, Abu Dhabi
Joshua Myers
New York University
Andrew Y. Lee
University of Oslo
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 marked by the use of interpretive rules that 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.
Keywords analog  analog representation  analog mirroring  symbolic  representation  interpretation function  iconic  rules  structure  representational systems  semantic fecundity
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