Search results for " systems of representation"

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Object, Structure, and Form

2012

The main task of this paper is to develop the non-Platonist view of mathematics as a science of structures I have called, borrowing the label from Putnam, `realism with the human face'. According to this view, if by `object' we mean what exists independently of whether we are thinking about it or not, mathematics is a science of patterns (structures), where patterns are neither objects nor properties of objects, but aspects (or aspects of aspects, etc.) of concrete objects which dawn on us when we represent objects (or aspects of... within a given system (of representation). Mathematical patterns, therefore, are real, because they ultimately depend on concrete objects, but are neither objec…

Patterns Mathematical structuralism Abstract objects Forms of representation Systems of representation RealismSettore M-FIL/02 - Logica E Filosofia Della Scienza
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Mathematical Patterns and Cognitive Architectures

2014

Mathematical patterns are an important subclass of the class of patterns. The main task of this paper is examining a particular proposal concerning the nature of mathematical patterns and some elements of the cognitive architecture an agent should have to recognize them.

Settore ING-INF/05 - Sistemi Di Elaborazione Delle Informazionimathematical patterns neural networks conceptual spaces systems of representationSettore M-FIL/02 - Logica E Filosofia Della Scienza
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