University of California, Riverside

UCR Newsroom



Philosopher Wins NSF Grant


UC Riverside Philosopher Wins $142,922 NSF Grant

The National Science Foundation award will enable Erich Reck to research German mathematician who helped transform mathematics in the 19th century.

(January 25, 2010)

Erich Reck

Erich Reck

RIVERSIDE, Calif. – Erich Reck, associate professor of philosophy, has been awarded a $142,922 grant by the National Science Foundation to further his research on 19th century German mathematician Richard Dedekind.

Dedekind was one of a handful of mathematicians who helped transform mathematics from the study of numbers and quantity to the much more general study of relational structures. The significance of his contributions to the early development of set theory and abstract algebra has not been studied systematically, however, Reck said. Those theories connect to modern logic, which influenced the development of computer science, among others.

“The 19th century was an interesting period of fruitful collaboration between philosophers and mathematicians, the kind of collaboration that has gotten lost a little in recent years,” he said. “It was a period of time when the traditional view of mathematics as numbers and quantity was replaced by a much more abstract way of thinking. Dedekind was a central figure in that shift.”

Philosophers of science and mathematics do not set out to prove news theorems, Reck explained. Rather, they ask more general questions: How exactly should we think about new scientific ideas? What is their bigger significance? For example, the development of abstract mathematics produced a new vocabulary of mathematical symbols, which prompted philosophers to explore new ideas about language more generally.

Reck plans to write a monograph on Dedekind and his trailblazing contributions. “The main outcome of this project will be a case study in the history and philosophy of mathematics,” he said. “However, several of the issues addressed in it – the relationship between methodological and metaphysical views in science, the notions of explanation and understanding, the intertwining of conceptual continuity and change – have significance beyond mathematics, for human knowledge as a whole.”

RELATED LINKS

ADDITIONAL CONTACTS

The University of California, Riverside (www.ucr.edu) is a doctoral research university, a living laboratory for groundbreaking exploration of issues critical to Inland Southern California, the state and communities around the world. Reflecting California's diverse culture, UCR's enrollment has exceeded 21,000 students. The campus opened a medical school in 2013 and has reached the heart of the Coachella Valley by way of the UCR Palm Desert Center. The campus has an annual statewide economic impact of more than $1 billion.

A broadcast studio with fiber cable to the AT&T Hollywood hub is available for live or taped interviews. UCR also has ISDN for radio interviews. To learn more, call (951) UCR-NEWS.

More Information 

General Campus Information

University of California, Riverside
900 University Ave.
Riverside, CA 92521
Tel: (951) 827-1012

Department Information

Media Relations
900 University Avenue
1156 Hinderaker Hall
Riverside, CA 92521

Tel: (951) 827-6397 (951) UCR-NEWS
Fax: (951) 827-5008

Related Links

Footer