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The interrelations between mathematics and philosophy in Leibniz´s thought
(2015)
This paper consists of three main sections. In the first section we consider how early attempts at understanding the relationship between mathematics and philosophy in Leibniz’s thought were often being made within the ...
Banality of mathematical expertise
(2020-11-01)
Practices within research mathematics can and do serve as models for mathematics education. However, typically such inspirations impose a devastating narrowness in relation to reflections on mathematics. This narrowness I ...
Structuralism and the Applicability of Mathematics
(Springer, 2010-09-01)
In this paper I argue for the view that structuralism offers the best perspective for an acceptable account of the applicability of mathematics in the empirical sciences. Structuralism, as I understand it, is the view that ...
Structuralism and the Applicability of Mathematics
(Springer, 2010-09-01)
In this paper I argue for the view that structuralism offers the best perspective for an acceptable account of the applicability of mathematics in the empirical sciences. Structuralism, as I understand it, is the view that ...
Structuralism and the Applicability of Mathematics
(Springer, 2013)
Review Of Ferreirós, J; Lassalle Casanave, A. El árbol De Los Números. Editorial Universidad De Sevilla
(UNICAMP - Universidade Estadual de Campinas, Centro de Lógica, Epistemologia e História da Ciência, 2016)
On the Nature of Mathematical Knowledge
(2011-01-01)
An important point of contention in the philosophy of mathematics concerns the existence of mathematical objects. Platonists believe they exist independently; nominalists, that they are only linguistic constructs; formalists, ...
On what there is in philosophy of mathematicsOn what there is in philosophy of mathematics
(Universidad de Caldas, 2008)
The future of mathematics education since COVID-19: humans-with-media or humans-with-non-living-things
(2021-01-01)
The COVID-19 pandemic has changed the agenda of mathematics education. This change will be analyzed by looking at three trends in mathematics education: the use of digital technology, philosophy of mathematics education, ...
Mathematical Impossibility in History and in the Classroom
(Universidad de Costa Rica, 2014)