I'm a math major and therefore need to be able to define "mathematics" in a sentence. A few years ago, I would've said "the study of numbers", but with topics like "Set Theory" that have little to do with numbers, that definition seems inadequate.
I'm a math major and therefore need to be able to define "mathematics" in a sentence. A few years ago, I would've said "the study of numbers", but with topics like "Set Theory" that have little to do with numbers, that definition seems inadequate.
I the area known as the philosophy of mathematics it is generally agreed that mathematics is the science of patterns.
For a longer exploration of this topic, I recommend What is Mathematics Really by Reuben Hersh.
"Study of relationships" is awfully broad - study of relationships among what? This sounds like something a genealogist would claim, or a family psychologist. A quick google search suggests "the science that deals with the logic of shape, quantity and arrangement."
In common English, the word "relationship" has connotation that is implied when not modified by any adjectives. By adding adjectives, it becomes more clear that the connotations normally associated with the word may not apply. Even this phrase is not necessarily clear, and could likely be improved upon.