Thomas Tymoczko
Encyclopedia
A. Thomas Tymoczko was a philosopher specializing in logic
and the philosophy
of mathematics
. He taught at Smith College
in Northampton
, Massachusetts
from 1971 until his untimely death.
His publications include New Directions in the Philosophy of Mathematics, an edited collection of essays for which he wrote individual introductions, and Sweet Reason: A Field Guide to Modern Logic, co-authored by Jim Henle. In addition, he published a number of philosophical articles, such as "The Four-Color Problem and its Philosophical Significance", which argues that the increasing use of computers is changing the nature of mathematical proof.
He can be considered a member of the quasi-empiricist or fallibilist school in philosophy of mathematics inspired by the work of Imre Lakatos
. Philip Kitcher dubbed this school the "maverick" tradition in the philosophy of mathematics. (Paul Ernest
)
Logic
In philosophy, Logic is the formal systematic study of the principles of valid inference and correct reasoning. Logic is used in most intellectual activities, but is studied primarily in the disciplines of philosophy, mathematics, semantics, and computer science...
and the philosophy
Philosophy
Philosophy is the study of general and fundamental problems, such as those connected with existence, knowledge, values, reason, mind, and language. Philosophy is distinguished from other ways of addressing such problems by its critical, generally systematic approach and its reliance on rational...
of mathematics
Mathematics
Mathematics is the study of quantity, space, structure, and change. Mathematicians seek out patterns and formulate new conjectures. Mathematicians resolve the truth or falsity of conjectures by mathematical proofs, which are arguments sufficient to convince other mathematicians of their validity...
. He taught at Smith College
Smith College
Smith College is a private, independent women's liberal arts college located in Northampton, Massachusetts. It is the largest member of the Seven Sisters...
in Northampton
Northampton
Northampton is a large market town and local government district in the East Midlands region of England. Situated about north-west of London and around south-east of Birmingham, Northampton lies on the River Nene and is the county town of Northamptonshire. The demonym of Northampton is...
, Massachusetts
Massachusetts
The Commonwealth of Massachusetts is a state in the New England region of the northeastern United States of America. It is bordered by Rhode Island and Connecticut to the south, New York to the west, and Vermont and New Hampshire to the north; at its east lies the Atlantic Ocean. As of the 2010...
from 1971 until his untimely death.
His publications include New Directions in the Philosophy of Mathematics, an edited collection of essays for which he wrote individual introductions, and Sweet Reason: A Field Guide to Modern Logic, co-authored by Jim Henle. In addition, he published a number of philosophical articles, such as "The Four-Color Problem and its Philosophical Significance", which argues that the increasing use of computers is changing the nature of mathematical proof.
He can be considered a member of the quasi-empiricist or fallibilist school in philosophy of mathematics inspired by the work of Imre Lakatos
Imre Lakatos
Imre Lakatos was a Hungarian philosopher of mathematics and science, known for his thesis of the fallibility of mathematics and its 'methodology of proofs and refutations' in its pre-axiomatic stages of development, and also for introducing the concept of the 'research programme' in his...
. Philip Kitcher dubbed this school the "maverick" tradition in the philosophy of mathematics. (Paul Ernest
Paul Ernest
Paul Ernest is a recent contributor to the social constructivist philosophy of mathematics. He illustrates this position in his discussion of the issue of whether mathematics is discovered or invented...
)