David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
The idea of a calculus or discrete formal system is central to traditional models of language, knowledge, logic, cognition and computation, and it has provided a unifying framework for these and other disciplines. Nevertheless, research in psychology, neuroscience, philosophy and computer science has shown the limited ability of this model to account for the flexible, adaptive and creative behavior exhibited by much of the animal kingdom. Promising alternate models replace discrete structures by structured continua and discrete rule-following by continuous dynamical processes. However, we believe that progress in these alternate models is retarded by the lack of a unifying theoretical construct analogous to the discrete formal system. In this paper we outline the general characteristics of continuous formal systems (simulacra), which we believe will be a unifying element in future models of language, knowledge, logic, cognition and computation. Therefore, we discuss syntax, semantics, inference and computation in the context of continuous formal systems. In addition, we address an issue that the discrete models were inadequate to address: the gradual emergence of (approximately) discrete structures from a continuum. This is relevant to the emergence of linguistic structures, including semantics and syntax, and to the emergence of rule-like regularities in behavior.
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library||
References found in this work BETA
No references found.
Citations of this work BETA
No citations found.
Similar books and articles
M. Dolores Jiménez López (2006). A Grammar Systems Approach to Natural Language Grammar. Linguistics and Philosophy 29 (4):419 - 454.
Eric Dietrich & A. Markman (2003). Discrete Thoughts: Why Cognition Must Use Discrete Representations. Mind and Language 18 (1):95-119.
Bruce J. MacLennan (1994). Words Lie in Our Way. Minds and Machines 4 (4):421-37.
W. Schonbein (2005). Cognition and the Power of Continuous Dynamical Systems. Minds and Machines 15 (1):57-71.
Frank van der Velde & Marc de Kamps (1998). Toward a Synthesis of Dynamical Systems and Classical Computation. Behavioral and Brain Sciences 21 (5):652-653.
Prof Ignazio Licata (2008). Logical Openness in Cognitive Models. Epistemologia:177-192.
Philip Kremer (2009). Dynamic Topological S5. Annals of Pure and Applied Logic 160 (1):96-116.
Frederick M. Kronz (2000). Chaos in a Model of an Open Quantum System. Philosophy of Science 67 (3):453.
Bruce J. MacLennan (1993). Grounding Analog Computers. Philosophical Explorations 2:8-51.
Added to index2009-01-28
Total downloads9 ( #245,779 of 1,724,889 )
Recent downloads (6 months)1 ( #349,126 of 1,724,889 )
How can I increase my downloads?