Is Mathematics discovered or invented?

I think that mathematics is invented and is something abstract. First of all, we do not find such thing as "2" concretely in nature. We cannot touch it, see it, it doesnt exist. Numbers and formulae are abstract symbols that we have created. Although you see "two" flowers, the concept of two individuals together was invented by us humans.

Hist. Paragraph

• The study of history is so important that it should be a compulsory IB subject.'  To what extent do you think this is true?

I dont think it should be. Yes, it is important for general knowledge, but we students have recieved history during all our academic life. In my opinion, some of the history I was taught in great detail is not so useful to me today. On the other hand, I do like history, but not if it is taught in great great detail. For example last year we learned about Spanish history, and a year later...I dont remember it. So how did it help me in my life? On the other hand, I also think that history is important, because it teaches us lessons from the past mistakes that others did, and it also teaches about culture. Therefore, I disagree with this statement to an extent. It should not be a compulsory subject in IB, but it should not be forgotten.

History KIs

1. To what extent is history used as evidence to shape your opinion on an ethnic group?
2. To what extent can history be objective?
3. To what extent  can the historian be influenced by factors to make them chose "facts"?