ISSN (Print) - 0012-9976 | ISSN (Online) - 2349-8846

Mathematical PhenomenologySubscribe to Mathematical Phenomenology

Axiomatism and Computational Positivism

It is argued here that the mathematical approach to the exact sciences has historically appeared to contain two largely distinct cultures (which nevertheless overlap to some extent). One of these takes the deduction of 'certain' conclusions from clearly stated axioms or models as the primary objective; the other considers number the primary concept, and emphasises computation and algebra, conforming to unambiguous rules. A philosophy that may be called computational positivism, whose goal is to make computation agree with observation, appears to have been characteristic of Indian (and apparently Babylonian) astronomy. The interactions between these two cultures have played a key role in the history of science, and seem set to continue to do so in the future as well.

Mathematical Idea and Cinematic Image

The objective of this paper is to identify two important hurdles in the path of establishing links between art and mathematics. These problems arise from the difficult relationship art and mathematics have with technology and the discourse of social sciences. Hence we take cinema, the art form of the age of technology, as the focus of our enquiry. By rethinking the relationship cinema and mathematics have with digital technology, we can begin to offer a meeting point for both art and mathematics.
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