Thomas Tymoczko

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A. Thomas Tymoczko (September 1, 1943 – August 8, 1996) was a philosopher specializing in logic and the philosophy of mathematics. He taught at Smith College in Northampton, Massachusetts from 1971 until his death from stomach cancer in 1996. [1] [2]

Logic Study of inference and truth

Logic is the systematic study of the form of valid inference, and the most general laws of truth. A valid inference is one where there is a specific relation of logical support between the assumptions of the inference and its conclusion. In ordinary discourse, inferences may be signified by words such as therefore, thus, hence, ergo, and so on.

The philosophy of mathematics is the branch of philosophy that studies the assumptions, foundations, and implications of mathematics. It aims to understand the nature and methods of mathematics, and finding out the place of mathematics in people's lives. The logical and structural nature of mathematics itself makes this study both broad and unique among its philosophical counterparts.

Smith College private womens liberal arts college in Massachusetts

Smith College is a private women's liberal arts college in Northampton, Massachusetts. Although its undergraduate programs are open to women only, its graduate and certificate programs are also open to men. It is the largest member of the Seven Sisters. Smith is also a member of the Five Colleges Consortium, which allows its students to attend classes at four other Pioneer Valley institutions: Mount Holyoke College, Amherst College, Hampshire College, and the University of Massachusetts Amherst. In its 2018 edition, U.S. News & World Report ranked it tied for 11th best among National Liberal Arts Colleges.

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 is considered to be a member of the fallibilist school in philosophy of mathematics. Philip Kitcher dubbed this school the "maverick" tradition in the philosophy of mathematics. (Paul Ernest)[ citation needed ]

Broadly speaking, fallibilism is the philosophical claim that no belief can have justification which guarantees the truth of the belief. However, not all fallibilists believe that fallibilism extends to all domains of knowledge.

Philip Kitcher British philosopher

Philip Stuart Kitcher is a British philosophy professor teaching at Columbia University who specialises in the philosophy of science, the philosophy of biology, the philosophy of mathematics, the philosophy of literature, and, more recently, pragmatism.

Paul Ernest is a contributor to the social constructivist philosophy of mathematics.

He graduated from Harvard University.

Personal life

Tymoczko was married to comparative literature scholar Maria Tymoczko of the University of Massachusetts Amherst. Their three children include music composer Dmitri Tymoczko and Smith College mathematics professor Julianna Tymoczko. [3] [4]

Maria Fleming Tymoczko is a scholar of comparative literature who has written about translation, medieval Celtic literature, and modern Irish literature including the works of James Joyce. She is a professor of comparative literature at the University of Massachusetts Amherst, and the former president of the Celtic Studies Association of North America. She is known for her calls for a more international and multicultural perspective on translation.

University of Massachusetts Amherst public university in Massachusetts, USA

The University of Massachusetts Amherst is a public research and land-grant university in Amherst, Massachusetts. It is the flagship campus of the University of Massachusetts system. UMass Amherst has an annual enrollment of approximately 1,300 faculty members and more than 30,000 students. It was ranked 24th best public university and 64th best national university by U.S. World & News Report in its 2020 rankings.

Dmitri Tymoczko is a composer and music theorist. His music, which draws on rock, jazz, and romanticism, has been performed by ensembles such as the Amernet String Quartet, the Brentano Quartet, Janus, Newspeak, the San Francisco Contemporary Players, the Pacifica Quartet, and the pianist Ursula Oppens. As a theorist, he has published more than two dozen articles dealing with topics related to contemporary tonality, including scales, voice leading, and functional harmonic norms. His article "The Geometry of Musical Chords," was the first music-theory article ever published by the journal Science.

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Julianna Sophia Tymoczko is an American mathematician whose research connects algebraic geometry and algebraic combinatorics, including representation theory, Schubert calculus, equivariant cohomology, and Hessenberg varieties. She is a professor of mathematics at Smith College.

References

  1. "In Memoriam". AcaMedia. Smith College. September 3, 1996.
  2. Anellis, Irving H. (1997). "In Memoriam: Thomas Tymoczko". Modern Logic. 7 (1): 82–83. ISSN   1943-7390.
  3. Tymoczko, Maria (1997), The Irish Ulysses, University of California Press, p. xi, ISBN   9780520209060
  4. Tymoczko, Maria (2014), Enlarging Translation, Empowering Translators, Routledge, p. 11, ISBN   9781317639336