Week 2: Illuminated Geometry (post 5)

In the book Illuminated Geometry I was able to understand the basis of mathematics, and how it remains always the same. The conclusions that we come to when answering a problem will always be the same, because that is the fundamental law of mathematics. The answers that we arrive at when answering a mathematical problem are engraved in stone they are set answers that have the same meaning and will always be the answer to that same problem forever. I have had many math teachers in the past explain to the class why the like math so much, and the answer I have always heard is, "Math is always the same no matter where you go. It never changes, it's a subject that remains constant."

For example, when you add the numbers 2 + 2 it is equal to 4, Therefore, 2+2=4. These are set laws in math that make this addition problem to remain true forever and always. The book quotes, "For it cannot occasion surprise that different persons should arrive at the same logical conclusions when they have already agreed upon the fundamental laws (axioms), as well as the methods by which other laws are to be deduced therefrom" (p. 15). This statement reinforces what was just explained.