| Random Link ¯\_(ツ)_/¯ | ||
| Dec 13, 2019 | » | 01. What is Mathematics About?
4 min; updated Jun 20, 2021
Classifying mathematics by its subject matter may be misleading because the kinds of questions being asked may be the same, despite different subject matter. Does it then imply that questions in math can be approached through any technique, but some techniques are simply more efficient than others? Nonetheless, classifying by subject matter, we crudely have algebra, geometry and analysis. Algebra vs. Geometry It’s insufficient to claim that algebra contains symbols, while arithmetic contains numbers.... |
| Oct 10, 2020 | » | 02. The Language and Grammar of Mathematics
4 min; updated Sep 5, 2022
Motivation for Mathematical Grammar Statements in advanced mathematics have a complicated structure that is easier to understand if one is familiar with mathematical grammar. Unlike English grammar that can be ambiguous, mathematical grammar is precise. … and then we have statistics. 4 Basic Concepts: Sets, Functions, Relations and Binary Operations The word “is” can have multiple interpretations: 5 is the square root of 25 5 is less than 10 5 is a prime number Mathematically, we can have the following precise statements:... |