A very theoretical question I came across with friends some time ago. I am not a native English speaker, so I may be misunderstanding some details, but as I understand:
1) Discovery relates to a concept which existed prior to ... well "discovery" but was unknown before the act.
2) Invention relates to a creation of a concept which never existed before the act
Following from this, are mathematical concepts such as sinus "discovered" or "invented"? In one sense, being a fundamental property hence could only be discovered. On the other hand, the logical metaphor was created by humans, hence invented.
Which one is right and which one is wrong and why?