New Directions in the Philosophy of Mathematics

Fülszöveg

1
Thomas Tymoczko takes a positive step toward a better understanding of the philosophy and foundations of mathematics. This anthology reflects an interdisciplinary approach to the philosophy of mathematics and includes essays by philosophers, mathematicians, logicians, and computer scientists.
V
Individually, each essay makes a significant contribution to our understanding of mathematics. Collectively, their impact is overwhelming in presenting a compelling argumentfor an important new approach to the philosophy of mathematics.
ii! I
NEW DIRECTIONS
IN THE PHILOSOFHY or MATHEWATICS
This collection of essays by eminent scholars presents an exciting new philosophical perspective on mathematics. Combining the resources of philosophers, mathematicians, logicians and computer scientists, the anthology investigates the nature of mathematics as it is currently practiced — and not as it 'ought to be' according to preconceived ideas.
Essays in such sections as "What is Mathematical... Tovább

Fülszöveg

1
Thomas Tymoczko takes a positive step toward a better understanding of the philosophy and foundations of mathematics. This anthology reflects an interdisciplinary approach to the philosophy of mathematics and includes essays by philosophers, mathematicians, logicians, and computer scientists.
V
Individually, each essay makes a significant contribution to our understanding of mathematics. Collectively, their impact is overwhelming in presenting a compelling argumentfor an important new approach to the philosophy of mathematics.
ii! I
NEW DIRECTIONS
IN THE PHILOSOFHY or MATHEWATICS
This collection of essays by eminent scholars presents an exciting new philosophical perspective on mathematics. Combining the resources of philosophers, mathematicians, logicians and computer scientists, the anthology investigates the nature of mathematics as it is currently practiced — and not as it 'ought to be' according to preconceived ideas.
Essays in such sections as "What is Mathematical Practice?" and "Challenging Foundations^' emphasize the importance of mathematical "experience" for the understanding of the nature of mathematics. The recharacterization of mathematics experience or "quasi-empiricism" is argued positively and convincingly, using the formal tools traditionally associated with philosophy of mathematics and borrowing from the empirical disciplines, history, sociology, and computer science. The result yields stimulating new insights that mathematicians will recognize as true and philosophers, as elucidating the nature of mathematics.
This anthology will be useful and exciting reading for mathematicians and philosophers. It will also be valuable to professionals in related fields, such as computer science, sociology and history of science. Vissza