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Four Dialectics of Computing

 Brian Cantwell Smith
  
 

Abstract:

(Invited Talk)

Four dialectics underlie all of computing. The first is the classic relation between mechanism and meaning: how a device that on the one hand is "mere mechanism" can nevertheless mean things, represent the world, carry information or significance. The second has to do with the relation between the concrete and the abstract: whether computation is fundamentally a physical or material notion, or whether it is more abstract (even mathematical). The third involves the relation between the static and the dynamic: how stable, relatively passive entities, such as programs and machines, relate to and engender active processes and behaviour. The fourth involves an interplay between one and the many: how objects that for some purposes are best treated as unitary or single are, for other purposes, better treated as several (one language, many programs; one program, many executions; one procedure, many call sites; one file, many copies; one product, many versions; one document, many editions; etc.).

Different accounts of computing deal with these dialectics in different ways. Formal symbol manipulation conceptions typically separate meaning and mechanism, treating the latter abstractly. Dynamical systems approaches treat computing concretely, and take time seriously, but (usually) ignore semantics. Ontological issues of one vs. many are inscribed in all sorts of traditional distinction (type vs. token, class vs. instance, set vs. member, variable vs. value, intension vs. extension, etc.), but are rarely theorised together, as variant species of a common genus.

No claim is made that these four dialectics are exhaustive. But characterising computing in their terms, and identifying distinctive characteristics of each, provides a framework in terms of which to assess any candidate theory

 
 


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