This man made an equation to figure out the hypotenuse of a triangle.
Who is Pythagoras?
100
A group of related sciences, including algebra, geometry, and calculus, concerned with the study of number, quantity, shape, and space and their interrelationships by using a specialized notation.
What is Mathematics?
100
The equation of finding a side of a triangle.
What is a2+b2=c2 ?
200
Quote- This makes sense. This over here, this does not make sense. That’s why I call it algebra.
Who is Anon?
200
To find, or find out; gain sight or knowledge of something existing but not yet acknowledged or aware.
What is a Discovery?
200
This question (more than one possibility) counters the Platonic Theory.
1. Where does math exist?
2. How do we discover math?
3. Why does the “real world” obey mathematical laws?
4. If we discover mathematics, where do we look for it?
300
Believed that mathematical truths are synthetic but a priori, knowledge based on purely rational considerations.
Who is Immanuel Kant?
300
A new, useful process, machine, improvement, etc., that did not exist previously and that is recognized as the product of some unique intuition or genius
What is an Invention?
300
These two questions (more than 2 possibilities) counter the idea that math is an invention.
1. How can 2+2=4 be invented?
2. Why do mathematicians have different ideas or inventions on strands of math?
3. If math is invented the same way artists invent art, how can mathematical questions be right or wrong (objective)?
400
Humans have control of what is significant in math and therefore mathematics is an invention.
What is Hilbert's Formalism?
400
Free question, you get 400 points!
What is awesomeness??
400
Do you agree with Platonists or Formalists, and why?
Answer is not on question format.
open ended question.
500
People regard this theory as related to theism, that all knowledge is out there and already established.
What is Platonic Theory?
500
The idea that humans cannot achieve true certainty in mathematical objects.
What is mental fiction?
500
Formulate an answer to the invention vs. discovery debate, using the notes from the handout and your own opinion.
Answer not in the form of a question.