2007•Oxford University Press eBooksRequires access

Visual Thinking in Basic Analysis

Marcus Giaquinto

Abstract

This chapter explores the vexed question of visual thinking in analysis. Is visualizing in analysis just a facilitator? Or can it have a non-redundant role in discovering truths of analysis? It is argued that its role in discovery is necessarily highly restricted; but several other important functions are fulfilled by visual means in analysis. The chapter also discusses Rolle's Theorem and Bolzano's Theorem.

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Key concepts: Facilitator, Visual thinking, Computer science, Epistemology, Cognitive science, Psychology, Philosophy, Social psychology