David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Ezio Di Nucci
Jonathan Jenkins Ichikawa
Jack Alan Reynolds
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Topoi 13 (1):51-60 (1994)
Attempts to lay a foundation for the sciences based on modern mathematics are questioned. In particular, it is not clear that computer science should be based on set-theoretic mathematics. Set-theoretic mathematics has difficulties with its own foundations, making it reasonable to explore alternative foundations for the sciences. The role of computation within an alternative framework may prove to be of great potential in establishing a direction for the new field of computer science.Whitehead''s theory of reality is re-examined as a foundation for the sciences. His theory does not simply attempt to add formal rigor to the sciences, but instead relies on the methods of the biological and social sciences to construct his world-view. Whitehead''s theory is a rich source of notions that are intended to explain every element of experience. It is a product of Whitehead''s earlier attempt to provide a mathematical foundation for the physical sciences and is still consistent with modern physics.
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References found in this work BETA
Imre Lakatos (ed.) (1976). Proofs and Refutations: The Logic of Mathematical Discovery. Cambridge University Press.
Michael R. Garey & David S. Johnson (1983). Computers and Intractability. A Guide to the Theory of NP-Completeness. Journal of Symbolic Logic 48 (2):498-500.
A. Heyting (1956). Intuitionism. Amsterdam, North-Holland Pub. Co..
A. N. Whitehead (1931). Process and Reality. Journal of Philosophical Studies 6 (21):102-106.
Alfred North Whitehead (1938). Modes of Thought. New York, the Macmillan Company.
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