For some the argument that mathematics is a science is an open and shut case, but for others it is an entirely different specimen. If you asked someone with a minimal math background (i.e. k-12) what math was, they would probably explain that math is the algebraic methods behind problem solving. They would say it is the adding, subtracting, dividing, multiplying, and graphing we use to solve basic everyday problems. But, someone with much more thorough math background would argue math is much, much more than that. In a post to Wikipedia, math is summed up as "the study of topics such as quantity, structure, space, and change." Now from this it may be hard to ascertain why math can be a science. In math we do not simply (and only) work with numbers. In math, much like science, we take these universal things or patterns and from them we build unproven propositions (hypotheses). Using what we already know to be true, we take these unproven propositions and we build anything from simple yet complex solutions to whole topics in mathematics (i.e. Euclidean Geometry). Overall, one could make the argument that math is in fact a science by showing how building a mathematical proof is similar to a scientific experiment. When we want to prove something in math we begin with a question then we move on to:

1. Hypothesis- Conjecture

2. Experiment- Proof

3. Observation- Proof

4. Analysis- Proof

5. Conclusion- Proposition (proven true)

Though this is a good argument, as I stated before, there are some who believe math and science are separate. Those who believe the studies are separate, for the most part, believe so because they view math as being inspired by nature whereas in science we go out into the world and observe.

Either way, my personal opinion is that the relationship between mathematics and science is a two way street. Mathematics draws from science when necessary and science draws from math when necessary. Often time when we are working in mathematics we are experimenting (specifically with proofs). And often time in science we need calculations and formulas, and that alone is large part of mathematics.

1. Hypothesis- Conjecture

2. Experiment- Proof

3. Observation- Proof

4. Analysis- Proof

5. Conclusion- Proposition (proven true)

Though this is a good argument, as I stated before, there are some who believe math and science are separate. Those who believe the studies are separate, for the most part, believe so because they view math as being inspired by nature whereas in science we go out into the world and observe.

Either way, my personal opinion is that the relationship between mathematics and science is a two way street. Mathematics draws from science when necessary and science draws from math when necessary. Often time when we are working in mathematics we are experimenting (specifically with proofs). And often time in science we need calculations and formulas, and that alone is large part of mathematics.