Intuition and the Axiomatic Method

• Corporate Author: SpringerLink (Online service)
• Other Authors: Carson, Emily (Editor), Huber, Renate (Editor)
• Format: Electronic eBook
• Language: English
• Published: Dordrecht : Springer Netherlands, 2006.
• Series: The Western Ontario Series in Philosophy of Science, A Series of Books in Philosophy of Science, Methodology, Epistemology, Logic, History of Science, and Related Fields, 70
• Subjects: Philosophy.; Philosophy and science.; Philosophy, general.; History of Philosophy.; Philosophy of Science.

Following developments in modern geometry, logic and physics, many scientists and philosophers in the modern era considered Kant’s theory of intuition to be obsolete. But this only represents one side of the story concerning Kant, intuition and twentieth century science. Several prominent mathematic...

Table of Contents:

• Mathematical Aspects
• Locke and Kant on Mathematical Knowledge
• The View from 1763: Kant on the Arithmetical Method Before Intuition
• The Relation of Logic and Intuition in Kant’S Philosophy of Science, Particularly Geometry
• Edmund Husserl on the Applicability of Formal Geometry
• The Neo-Fregean Program in the Philosophy of Arithmetic
• Gödel, Realism and Mathematical ‘Intuition’
• Intuition, Objectivity and Structure
• Physical Aspects
• Intuition and Cosmology: The Puzzle of Incongruent Counterparts
• Conventionalism and Modern Physics: A Re-Assessment
• Intuition and the Axiomatic Method in Hilbert’s Foundation of Physics
• Soft Axiomatisation: John von Neumann on Method and von Neumann’s Method in the Physical Sciences
• The Intuitiveness and Truth of Modern Physics
• Functions of Intution in Quantum Physics
• Intuitive Cognition and the Formation of the Theories.