by Bruce E. Camber, September 9, 2021
Two of the most-used references to define intuition are unsatisfactory. These are the Oxford definition,”The ability to know something by using your feelings rather than considering the facts as in “Intuition told her that he had spoken the truth” and the current Wikipedia definition: “The ability to acquire knowledge without recourse to conscious reasoning.” There is no causal efficacy. And, there is no consideration of the nature of consciousness itself.
There is a wider perspective on intuition that can be embraced. Here is a start:
- The Continuous, the Discrete, and the Infinitesimal in Philosophy and Mathematics (New and Revised Edition of 2005 book), Springer, 2019.
- Intuitionistic Set Theory. College Publications, 2013.
- The Continuous and the Infinitesimal in Mathematics and Philosophy with D. DeVidi and G. Solomon, Polimetrica, 2005.
- Logical Options: An Introduction to Classical and Alternative Logics. Broadview Press, 2001.
- The Art of the Intelligible: An Elementary Survey of Mathematics in its Conceptual Development. Kluwer, 1999.
- A Primer of Infinitesimal Analysis. Cambridge University Press, 1998. Second Edition, 2008.
Much more to come… this is a still my “primitive” start! -BEC