Codes. We use them all the time in computation. But what really are they? Perhaps, we think about various codes used in old war times: Morse Code, The Navajo code, the enigma code broken by various mathematicians including Alan Turing.
Whatever we may be thinking of, every code is simply a set of codewords that are written using some . . .
The Self-Reinforcing Loop
It is commonly discussed as to whether mathematics should be taught via a "concrete" or an "abstract" curriculum. I have decided that it must be both and neither.
If we were to ask: what is mathematics? You would invariably get an immense diversity of answers from both 'pros' and 'amateurs'. However, one . . .
Sarcasm over 9000
I couldn't make this a lengthy comment on any of the articles I have been reading lately ... so I will now use the history of both subjects to create a rigorous argument for why programming is NOT mathematics!
1.) Gottfried Leibniz, a highly prominent mathematician in the 17th century, created this machine to help him do . . .