I always believed that mathematics was special, even sacred, in the sense that it was totally different form other sciences or disciplines because it was absolute, certain and a confined system within itself. There is 100% absolute certainty in mathematical answers, different from moral or legal answers where there can only be moral certainty or conviction that is never absolute, dare i say it even--> beyond a reasonable doubt is the best thing we can get. (Now to rinse my mouth for saying that)
My world came tumbling down when I saw THIS little titbit about Gottlob Frege.
Gottlob Frege(1848-1925)* demonstrated that the connection between mathematics and logic. He demystified mathematics, saying that
'numbers are not objects, like giraffes, but they are "properties of concepts", or useful logical fictions-rather like the fiction of the average man... mathematics is analytic, or "empty"... '
Therefore, according to him, 2+2=4 is merely TAUTOLOGY. It is no more than saying
2+2=1+3=1+1+1+1=4 or even, 1+1+1+1= 1+1+1+1
Somehow, I felt that I wasted a lot of time doing mathematics in school. Was it all futile?
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*This is to show that I did not make him up, (well I would be glad if i did, because then it'll ALL be my Theories LOL)