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 non-logical historical and systematic issues in both mathematics and
physics.
