Description 
1 online resource (xiii, 324 pages) 
Series 
Western Ontario series in philosophy of science ; v. 70 

University of Western Ontario series in philosophy of science ; v. 70

Contents 
Locke and Kant on mathematical knowledge / Emily Carson  The view from 1763: Kant on the arithmetical method before intuition / Ofra Rechter  The relation of logic and intuition in Kant's philosophy of science, particularly geometry / Ulrich Majer  Edmund Husserl on the applicability of formal geometry / René Jagnow  The neoFregean program in the philosophy of arithmetic / William Demopoulos  Gödel, realism and mathematical 'intuition' / Michael Hallett  Intuition, objectivity and structure / Elaine Landry  Intuition and cosmology: the puzzle of incongruent counterparts / Brigitte Falkenburg  Conventionalism and modern physics: a reassessment / Robert DiSalle  Intuition and the axiomatic method in Hilbert's Foundation of physics / Ulrich Majer, Tilman Sauer  Soft axiomatisation: John von Neumann on method and von Neumann's method in the physical sciences / Miklós Rédei, Michael Stöltzner  The intuitiveness and truth of modern physics / Peter Mittelstaedt  Functions of intuition in quantum physics / Brigitte Falkenburg  Intuitive cognition and the formation of theories / Renate Huber 
Summary 
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 mathematicians and physicists were convinced that the formal tools of modern logic, set theory and the axiomatic method are not sufficient for providing mathematics and physics with satisfactory foundations. All of Hilbert, Gödel, Poincaré, Weyl and Bohr thought that intuition was an indispensable element in describing the foundations of science. They had very different reasons for thinking this, and they had very different accounts of what they called intuition. But they had in common that their views of mathematics and physics were significantly influenced by their readings of Kant. In the present volume, various views of intuition and the axiomatic method are explored, beginning with Kant's own approach. By way of these investigations, we hope to understand better the rationale behind Kant's theory of intuition, as well as to grasp many facets of the relations between theories of intuition and the axiomatic method, dealing with both their strengths and limitations; in short, the volume covers logical and nonlogical, historical and systematic issues in both mathematics and physics 
Analysis 
filosofie 

philosophy 

geschiedenis 

history 

wetenschapsfilosofie 

philosophy of science 

Philosophy (General) 

Filosofie (algemeen) 
Bibliography 
Includes bibliographical references 
Notes 
Print version record 
In 
Springer ebooks 
Subject 
Mathematics  Philosophy.


Intuitionistic mathematics.


Axioms.


MATHEMATICS  Infinity.


MATHEMATICS  Logic.


Axioms.


Mathematics  Philosophy.


Intuitionistic mathematics.


Sciences sociales.


Sciences humaines.


Axioms.


Intuitionistic mathematics.


Mathematics  Philosophy.

Genre/Form 
Sayings.


Proverbes.

Form 
Electronic book

Author 
Carson, Emily


Huber, Renate

ISBN 
9781402040405 

1402040407 

1402040393 

9781402040399 
