Palestra Profª Valeria Giardino (Paris 1 – Panthéon-Sorbonne), The Euclidean Diagram

Data: 16/11/2016 de 10hs às 12hs

Local: sala L 1156 (Prédio Cardeal Leme)

 

No âmbito do Projeto Capes/Cofecub entre a PUC-Rio e a Universidade de Paris 1 Panthéon-Sorbonne teremos a visita da Professora Valeria Giardino de 14 a 25 de novembro. Além de outras atividades com os membros do projeto, a Professora dará as seguintes palestras:

  1. The Euclidean Diagram – 16/11 às 10hs sala L 1156
  1. Diagramatic Practices in Contemporary Mathematics – 21/11 às 10hs sala L 1154
  1. Reasoning by Diagrams and Mathematics: What We Have Learnt – 23/11 às 10hs sala L1156 

Resumo:

The objective of the three lectures will be to review the most recent literature on diagrammatic reasoning in mathematics so as to provide participants with a helpful map to explore it.

The first lecture will introduce the general topic and then focus on the role and features of diagrams and diagrammatic reasoning in Euclidean geometry.

The second lecture will turn the attention to studies discussing diagrammatic reasoning in contemporary mathematics and computational perspectives.

The final lecture will discuss diagrams as representations that are introduced in support to other symbolic practices, and will argue that the study of diagrammatic reasoning can shed light on the nature of mathematical thinking in general.

The lectures will be mainly based on the following two references:

  • Giardino, V. (forthcoming 2017), “Diagrammatic reasoning in mathematics”. In: L. Magnani and T. Bertolotti (eds.), Springer Handbook of Model-Based Science, Springer, Switzerland.
  • Giaquinto, M. (2015), “The epistemology of visual thinking in mathematics”. In: Stanford Encyclopedia of Philosophy.
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