Euclid's Fifth Postulate
Philosophical and Logical Problems Contained in Euclid's Fifth Postulate
Euclid gave the world much of the information it has on planar geometry in his five postulates. While the first four are relatively easy to understand Continue Reading...
Euclid -- 323-285 B.C was a historical figure who taught at Alexandria in Egypt. There are three hypotheses revolving around Euclid's life. The first is that he wrote his magnum opus the Elements as also contributed a lot of other works. Another inte Continue Reading...
Mathematics as the reading suggests posses many characteristics, being derived from individual genius but thriving only when the culture or wider community as described by the text accepts the principles and applications surrounding it (p. 64). Ind Continue Reading...
However, would deductivism be true from a normative perspective?
This is a question that relates with the fundamental question that a principle would be justifiable from a deductivist perspective: if H - hypothesis is the best explanation for the f Continue Reading...
For instance, classical mathematicians by definition rely on Plato's theory of forms as the underlying basis of their mathematical worldview. The Platonist assumes the existence of true, immutable, and universal forms and structures that the mathema Continue Reading...