Search results for "mathematical objects"

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Objects, Structures, and Logics

2022

This book offers Novel In-Depth Discussions of the Relationship Between Logic and Metaphysics Attempts to Develop a New Framework for the Concept of Mathematical Structure Emphasizes the Importance of Mathematical Practice to the Philosophy of Mathematics

mathematical objects mathematical structures logic realism anti-realism truth proof groundingSettore M-FIL/02 - Logica E Filosofia Della Scienza
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Análisis de los antecedentes histórico-filosóficos de la "paradoja cognitiva de Duval"

2015

In a famous article published in 1993, Raymond Duval highlighted a simple fact: the student may confuse the mathematical object O he is trying to build cognitively with one of its semiotic representations R(O). Duval explained that this confusion was due to a sort of inevitable paradox: only someone who has already built O, can recognize R(O) as a representation of O and not as an object in itself. Thereafter, this thought has been extremely influential for researchers. However, even if in different terms, many scholars of semiotics have emphasized the same phenomenon. In this paper we propose to remind some of them. En un famoso artículo publicado en 1993, Raymond Duval evidenciaba el sigu…

semiosis y noesisDuval’s cognitive paradox semiosis and noesis cognitive construction of mathematical objects semiotic representations of a mathematical object.lcsh:LC8-6691lcsh:Special aspects of educationlcsh:Mathematicsconstrucción cognitiva del objeto matemáticoSettore MAT/01 - Logica MatematicaParadoja cognitiva de Duvalrepresentación semiótica de un objeto matemáticolcsh:QA1-939EducationParadoja cognitiva de Duval semiosis y noesis construcción cognitiva del objeto matemático representación semiótica de un objeto matemático.Revista Latinoamericana de Investigación en Matemática Educativa
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