Plato, Diagrammatic Reasoning and Mental Models

Springer Nature Switzerland (2023)
  Copy   BIBTEX

Abstract

This book analyses the role of diagrammatic reasoning in Plato’s philosophy: the readers will realize that Plato, describing the stages of human cognitive development using a diagram, poses a logic problem to stimulate the general reasoning abilities of his readers. Following the examination of mental models in this book, the readers will reflect on what inferences can be useful to approach this kind of logic problem. Plato calls for a collaboration between writer and readers. In this book the readers will examine the connection between diagrams and discovery, realizing the important epistemic role of visualization. They will recognize the crucial role that diagrams play in problem solving. The logic problem elaborated by Plato is addressed considering the epistemic function of mental models. These models introduce to an advanced stage of cognitive development, in which reasoning uses in its investigations a higher-level of mathematical complexity, represented by structuralism.

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 91,571

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Chapters

Introduction

Plato’s words are aimed, not at conveying a static description of how things are, but at creating cognitive stimulations for his readers. I will present the way in which I have chosen to respond to this Platonic request for collaboration. I am going to analyze the importance of visualization for cog... see more

Visual Thinking

The use of diagrams in the Meno has been studied by Giaquinto, as an example of the epistemological role of visualization: visualization makes us discover because it triggers belief-forming dispositions. Thanks to the activation of these belief-forming dispositions we acquire concepts, such as squar... see more

Diagrammatic Reasoning

Diagrams are helpful to draw inferences useful for problem solving. Efficient reasoning is heterogeneous. A truly heterogeneous inference system is Hyperproof: the givens of the problem are in a diagram window, which is accompanied by sentences in a lower window. We have seen that Plato, in the Repu... see more

The Collaboration Between Writer and Reader

Plato’s is a kind of higher-order pedagogy in which the readers are not the passive receptors of a content but they discover themselves as authors of the content. I have chosen to respond to the Platonic intellectual stimulation, proposing a new theoretical framework for engaging with Plato’s dialog... see more

Mental Models

The analysis of mental models helps to get a sense of what kind of inferences are useful to approach the logic problem that Plato poses when he points to the stages of cognitive evolution. The fundamental passage from an inferior phase of rational growth to a superior stage of cognitive development ... see more

Theoretical Adulthood and Structuralism

Shapiro’s ante rem structuralism is a kind of structuralism that ignores the individual properties of the objects, that are irrelevant, and it considers only the objects as positions in a structure. The axioms governing these objects do not assert definite truths but they define a kind of structure ... see more

Similar books and articles

Reasoning with conditionals.Guy Politzer - 2007 - Topoi 26 (1):79-95.
Renovating Philosophical Practice through Diagrammatic Reasoning.Rocco Gangle - 2008 - Proceedings of the Xxii World Congress of Philosophy 4:47-52.
A Diagrammatic Inference System with Euler Circles.Koji Mineshima, Mitsuhiro Okada & Ryo Takemura - 2012 - Journal of Logic, Language and Information 21 (3):365-391.

Analytics

Added to PP
2023-08-07

Downloads
18 (#826,353)

6 months
13 (#189,886)

Historical graph of downloads
How can I increase my downloads?

Citations of this work

No citations found.

Add more citations

References found in this work

No references found.

Add more references