Search results for " mathematical patterns"

showing 2 items of 2 documents

Pattern-Recognition: a Foundational Approach

2015

This paper aims at giving a contribution to the ongoing attempt to turn the theory of pattern-recognition into a rigorous science. In this article we address two problems which lie at the foundations of pattern-recognition theory: (i) What is a pattern? and (ii) How do we come to know patterns? In so doing much attention will be paid to tracing a non-arbitrary connection between (i) and (ii), a connection which will be ultimately based on considerations relating to Darwin’s theory of evolution.

Pattern-recognition conceptual spaces cognitive architecture Dennett GaerdenforsConceptual Spaces Mathematical Patterns Intelligent AgentsSettore M-FIL/02 - Logica E Filosofia Della Scienza
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Productive Ambiguity in Mathematics

2011

According to E. Grosholz, there is a phenomenon called `productive ambiguity' which plays a very important role in mathematics, and the sciences, because it is instrumental to the resolution of many open questions. The main task of this paper is that of assessing Grosholz's claim with regard to mathematics.

Productive ambiguity mathematical patterns philosophy of mathematicsSettore M-FIL/02 - Logica E Filosofia Della Scienza
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