David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
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.
|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
Murray Code (1985). Order and Organism: Steps Toward a Whiteheadian Philosophy of Mathematics and the Natural Sciences. State University of New York Press.
A. Heyting (1956). Intuitionism. Amsterdam, North-Holland Pub. Co..
A. H. Johnson (1962). Whitehead's Theory of Reality. New York, Dover Publications.
Imre Lakatos (1976). Proofs and Refutations: The Logic of Mathematical Discovery. Cambridge University Press.
John W. Lango (1972). Whitehead's Ontology. Albany,State University of New York Press.
Citations of this work BETA
No citations found.
Similar books and articles
Jean Paul Van Bendegem (2005). Proofs and Arguments: The Special Case of Mathematics. Poznan Studies in the Philosophy of the Sciences and the Humanities 84 (1):157-169.
Chris Pincock (2007). A Role for Mathematics in the Physical Sciences. Noûs 41 (2):253-275.
Stojan Obradović & Slobodan Ninković (2009). The Heuristic Function of Mathematics in Physics and Astronomy. Foundations of Science 14 (4):351-360.
Penelope J. Maddy (2001). Some Naturalistic Reflections on Set Theoretic Method. Topoi 20 (1):17-27.
Christopher Pincock (2009). Towards a Philosophy of Applied Mathematics. In Otávio Bueno & Øystein Linnebo (eds.), New Waves in Philosophy of Mathematics. Palgrave Macmillan.
Leon Horsten, Philosophy of Mathematics. Stanford Encyclopedia of Philosophy.
Michael Heller (1997). Essential Tension: Mathematics - Physics - Philosophy. [REVIEW] Foundations of Science 2 (1):39-52.
Stewart Shapiro (2004). Foundations of Mathematics: Metaphysics, Epistemology, Structure. Philosophical Quarterly 54 (214):16 - 37.
Alan Baker (2003). The Indispensability Argument and Multiple Foundations for Mathematics. Philosophical Quarterly 53 (210):49–67.
Added to index2009-01-28
Total downloads5 ( #248,824 of 1,413,259 )
Recent downloads (6 months)1 ( #154,925 of 1,413,259 )
How can I increase my downloads?