Tag Archives: Logic

Maths Discussion Thoughts

What is the role of intuition in mathematics? How about imagination?

I believe that although mathematical knowledge must be proven with rigorous proof, initial ideas are sparked by intuition and imagination.  A mathematician might choose to use certain proofs in order to prove their conjecture based on their own intuition, and then use logical steps to see if it would work.

How important is logic(al reasoning) within Mathematical knowledge?

I think that logical reasoning is required within mathematical knowledge because in order for a conjecture to be believed and be ‘true’ it must be proved with rigour and clear steps to show how one came to that conclusion.

How connected is Maths to the real world?

Although maths might be more involved in topics such as the natural sciences, I believe that it can be used as a measure for other values. Despite that, maths might not always be effective. For example, numerical values have started becoming more popular to measure one’s attractiveness. Many might say that beauty is subjective, however we must admit that there are some people or animals that we would consider “beautiful,” or “cute,” and therefore certain values could be set to determine who is more attractive compared to someone else.