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## Leibniz on Limit, Number and the Infinite

### Samuel Levey

Dartmouth College

###
Thursday, January 17, 2002

102 Bradley Hall, 4 pm

Tea 3:30 pm, Math Lounge

**Abstract: ** The seventeenth-century philosopher and
mathematician G.W. Leibniz has sometimes been seen as uninterested in
the foundations of mathematics. In fact Leibniz has a subtle and
original position in the philosophy of mathematics. This talk gives a
brief tour of Leibniz's philosophy of mathematics by considering how
his view of the infinite as "actual" and "syncategorematic" is related
to his view of limits as "ideal entities" and "fictions," with special
attention to two simple puzzles about motion that he considers in his
writings of 1676 (just after completing his major work on the
infinitesimal calculus).

This talk will be accessible to undergraduates.