“Raymond L. Wilder received both his Bachelor's and Master's degrees from Brown University, while the University of Texas granted him a Ph.D. He was instructor at the University of Texas from 1921-24, and Assistant Professor at Ohio State University for the following tow years. In 1925 he was appointed Assistant Professor at the University of Michigan, where he has been successively Associate Professor, Research Professor and Professor Emeritus. He served as President of the American Mathematical Society and the Mathematical Association of America.” (From the 1968 Transworld Publishers Ltd. edition.)
The Applications of Pure MathematicsStudying philosophy one often hears it said that philosophy is of no practical value and that it's a waste of time. Sometimes that is said of higher mathematics. And, by the ignorant, it is also said of all or basic mathematics. Though, as in science, theoretical research has often led to practical advances and applications outside mathematics, in both science itself and technology. R.L. Wilder cites various examples of this from maths and science:
Platonic Mathematics vs. Applied Mathematics
- “… mathematics was considered to be, on the one hand, at attempt to describe the forms, quantitative and geometric, that one finds in the environment…” (186)
- Mathematics was “a description of an ideal world of concepts existing over and above the so-called real world” (186).
Wilder’s Materialist Account of Mathematics
Maths & RealityThe ironic thing about the constructivist theory is that rather than abiding by the dictates of reality (as it were), mathematics is free to journey wherever it likes. That's because mathematics, according to Wilder, is a human construction and each mathematical concepts is an individual mental construction.
Mathematics & Truth
Logic, Proof & Set Theory