Tag: abstraction

Form, Beauty, and Euclid’s Elements (part 2)

In the previous installment (upon which this part depends), I gave what I feel is the correct beginning in how to arrive at and understand basic notions in mathematics. In doing so, I attempted to re-appropriate medieval concepts of matter, form, and abstraction in order to understand what constitutes the objects and subject-matter of mathematics. […]

Form, Beauty, and Euclid’s Elements (part 1)

I want to begin exploring, or perhaps recovering, a way of understanding the discipline of mathematics as one that integrally involves a perspective of beauty, not a “beauty cold and austere, like that of a sculpture,” (Bertrand Russell) but a beauty that irradiates from the form of anything that can be understood as having being. […]