Mathematics- Discovered or Invented?

I am a firm believer on math being a discovered science. I say science because the process used in order to reach a mathematical axiom or theory, is derived through reasoning skills that are also triguered by the observation of the natural world. Many cases have to be taken into consideration, before presenting a mathematical premise that fits all of them in the same way. That said, I see no possible example of how math could be invented. It would be like saying that cells do now exist just because we cant see them with a naked eye. In a world where things dont ever come by themselves, we have developed a universal system that can make quantitative observations and reasoning much simpler, by only using symbols that code for a specific quantity of measurements/objetcs. Matematicians have taken advantage of this abstract world, and organized it by developing the simplest forms of relationships that are possible between them. Yes, math is based on an invented set of symbols, but these code for perceivable objects that interact in ways that are only understandable to the average human mind through simpler abstract justification.

d. According to a well-known adage, 'history is written by the victors'.  How different do you think it would be if it were written by the losers instead?


  I´ve never really understood why would people criticise history by saying "history is written by the victors". Yes, it is a subject were you are confronted by the stories of people who made an impact on the world, but it is hard, if not impossible,  to make an impact on a continent/country/group of poeple if you do not suceed on your purpose. If history were to be written by the losers, it would have no cultural, economical, political nor geographical relevance,  therefore creating a subject that can only be studied (with productive purposes) through the eyes of a sociologist or a psychologist trying to decipher the reasons behind why wasnt it succesful. 

History- Knowledge Issues

1. To what extent has history been modified in order ro evoke nationalism?
2. To what extent is cultural knowledge relevant in determining a person´s self-identity?
3. To what extent can an artwork be judged by solely its historical value?