How may the math nomenclature (system) that you use affect your understanding of Maths?

Today we learned about three systems: Roman, Mayan and Binary. The use of different math systems can definitely affect our understanding of math, since they require different ways of thinking and process and have their own strengths. For example with the Roman system, its very easy to add and subtract things, but for Binary it is very challenging to even just write a number out in binary. Some things, such as fractions, algebra etc are going to be a lot harder to do in systems like the Mayan system which is why we use our current 10 base system now.

So I think depending on the complexity of the mathematics we want to do, a different system may be more effective. One example can be that all computers and phones use binary, even though it can be very confusing for humans to think about math in terms of binary, computers work with a “yes” “no” function so only have 2 numbers is very effective for them.

Explain what is a MATHEMATICAL axioM?

An axiom is a rule in mathematics that can not be proven correct. I think most of the time instead of being able to prove it correct, axioms can only be “not proven incorrect”. A lot of the time, we also just “feel” these to be correct, but we can’t exactly show why.

Here are a couple examples:

I think that a clear example is that through any two points there is exactly one line, which I can’t prove to be true, but I can’t find any issues with the statement. It’s inductive reasoning in a way

 

A mathematical proof comes from deductive reasoning, and can be proven to be true. There are no exceptions to a mathematical proof. It is a mathematical statement that is viewed to be correct and true. An example of this is that on any map or set of shapes, only four colours are needed to colour it so that no same colours are touching.