The Philosophy of Limits: Between Mathematics and Philosophy

Philosophy of Mathematics, Mathematics Education, and Philosophy of Mathematics Education

Philosophy of Mathematics and Philosophy of History

mathematical and one philosophical. In the first, Socrates leads the slave boy to correct, refine, and extend his intuition of a pair of geometrical diagrams by examining his presuppositions in the light of certain background knowledge (about arithmetic), as they solve a problem together. In the second, Socrates leads Meno to correct, refine, and extend his intuition about virtue as well as abo...

The Philosophy of Mathematics

THE CLOSE CONNECTION BETWEEN mathematics and philosophy has long been recognized by practitioners of both disciplines. The apparent timelessness of mathematical truth, the exactness and objective nature of its concepts, its applicability to the phenomena of the empirical world—explicating such facts presents philosophy with some of its subtlest problems. We shall discuss some of the attempts ma...

Philosophy of Mathematics for the Masses – Extending the Scope of the Philosophy of Mathematics Philosophy of Mathematics for the Masses

reality, so that should count against classifying their position as platonist. They are certainly not constructivists, yet some versions of formalism (term formalists) do consider mathematics to be about symbols, and so are not obviously nominalist either (there is quantification over abstract objects, and if these symbols are to count as being mathematical, that would preclude viewing the posi...

19th Century Logic between Philosophy and Mathematics

Doubt could be expressed that a special section on late 19th century mathematics, or, more specifically, on Victorian mathematics, was an appropriate place for a lecture on 19th century logic. Most 19th century scholars would have been of the opinion that philosophers are responsible for research on logic. On the other hand, the history of late 19th century logic indicates clearly a very dynami...