The mathematical experience

Aspects of Mathematical Experience

notions have been important for the internal development of mathematics and for sophisticated applications in the sciences to organize our experience of the world. It seems to me to be absolutely crucial to gain insight into this dual role -to bring into harmony philosophical reflections on mathematics with those on the sciences.

Mechanical procedures and mathematical experience

Experience extending VLSI design with mathematical logic

The growing demands for assurance of properties like correctness, safety, and security have led to the development of design methods using mathematical logic. These methods have broad application to hardware, software, and system design. Design based on mathematical logic offers the capability to relate structural descriptions with behavioral descriptions and properties. The challenge is to mou...

The experience of mathematical beauty and its neural correlates

Many have written of the experience of mathematical beauty as being comparable to that derived from the greatest art. This makes it interesting to learn whether the experience of beauty derived from such a highly intellectual and abstract source as mathematics correlates with activity in the same part of the emotional brain as that derived from more sensory, perceptually based, sources. To dete...

Insights into Game Theory: An Alternative Mathematical Experience

Few branches of mathematics have been more influential in the social sciences than game theory. In recent years, it has become an essential tool for all social scientists studying the strategic behavior of competing individuals, firms, and countries. However, the mathematical complexity of game theory is often very intimidating for students who have only a basic understanding of mathematics. In...