With illumination, abstraction, the rendering of propositions elaborated, the elements and development of mathematics may now be described. First and foremost, a definition may be made by identifying with a term what is sensibly perceived and rendered according to its correct usage. For example, numbers, such as 1, 2, 3, etc., may be defined as […]
Tag: Illumination
The Mathematician’s Mind Redux, II
Within Hadamard’s cycle, there is a movement of incubation to illumination in which ideas in a mathematician’s mind are surveyed in search of resolving a specified problem. In this process, ideas are evaluated based upon their relevance to the content of the problem and connections are sought between these ideas based upon their relevance to […]
The Mathematician’s Mind Redux, I
After a long hiatus, I have decided to re-introduce and elaborate upon what I take to be an account of what it means to think beautifully about mathematics. In an effort to do so, I will be following a path that will engage, at least in its initial stages, the work of the mathematician Jacques […]