Intuition and Reasoning in Geometry

Philosophia Scientiae 17:15-52 (2013)
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Abstract

The way in which geometrical knowledge has been obtained has always attracted the attention of philosophers. The fact that there is a science that concerns things outside our thinking and that proceeds inferentially appeared striking, and gave rise to specific theories of experience and space. Nonetheless, the geometrical method has not yet been sufficiently investigated. Philosophers who investigate the theory of knowledge discuss the question of whether geometry is an empirical science, but...

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What Does It Mean That “Space Can Be Transcendental Without the Axioms Being So”?: Helmholtz’s Claim in Context.Francesca Biagioli - 2014 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 45 (1):1-21.

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