\ (\ begingroup \) Yes, where does math actually come from? After trying to do this for a few years now, I've asked myself this question quite often. From books? Hm, the smart authors must have got it from somewhere. From the Internet? No, you can't trust the internet. That was eventually invented by the American military. Inspired by aliens? Somehow it can't be. E.T. kept thinking about calling home. There was no time for mathematical tips.
No, a plausible explanation has to be found! The only thing that helps is a look back into the long past of mankind. One thing is clear: Much of what motivates men to act is based on the fact that you want to impress women somehow ... Well, actually everything! The politically correct reader will immediately interject: How now? Didn't women contribute anything to math? Yes, yes. I'll come to that. Did men invent mathematics to get women around? I have serious doubts about it. Just imagine the competition. One of them brings home a mammoth steak the size of half the meat counter in the supermarket next door. Another can do a handstand on the back of a galloping Przewalski horse. Another man kills a saber-toothed tiger with his bare hand. Yes, if you come along now and proudly announce: "Hey doll, I can solve partial differential equations of the second order and only need a roll of papyrus!", Then it is clear that the mathematician has rather bad cards here. It gets really embarrassing when the woman replies: "Great, but today I proved Fermat's last sentence, and that between a painful birth and the preparation of dinner!" One can only advise the advertiser not to look silly and to give the mammoth steaks a try. Unfortunately, we have to admit that this theory cannot be verified. What now? It all started with what even parrots can do. I don't mean this. No, of course I mean counting, so natural counting, natural numbers. 1, 2, 3, ... etc. That’s something nice. If you can count, the world is open to you. You can at least check whether your neighbor stole a sheep, a chicken, a garden gnome or your wife when you were not at home. The latter is more of a binary problem, depending on the culture. Or the other way around: the educated elite can shit the uneducated proletariat even better. This is called interest, or alternatively game theory. Finds prove that, so I mean counting. There is also evidence of the other. But I don't want to do any surreptitious advertising for Deutsche Bank. In any case, you have scratched notches in various objects if the number was greater than the number of fingers, or if you somehow couldn't remember it. How good that this system has been further developed. I don't know where I should scratch my hard drive content (approx. 0.5 TB) as an alternative. I'm really happy about that! What happened next? Now something very crucial comes into play: boredom. Yes exactly, infinite boredom ... and later then laziness! How else do you come up with the idea of developing other strange numbers? Creativity is generally overrated. The reader should take this to heart: Usually boredom is behind it! OK, but why laziness? That's obvious. Whole induction was only invented because people are lazy. Here is a small example known as the "little Gauss". sum (k, k = 1, n) = (n * (n + 1)) / 2 You have to prove that for all n. It's pretty quick with full induction, but it's very complicated. It would be much easier, but unfortunately also a little more complex, to recalculate the statement for all n up to 1,000,000,000,000,000,000,000,000,000. If that is correct by then, it also applies to all successors, so with a fairly high degree of certainty, so to speak, but in any case already practical. Here laziness has clearly triumphed over the uncomplicated procedure. Well, that's how it is until today. At some point the topology was discovered. Let's be honest. Nobody really understands that. If someone understands this anyway, then they are out of this world. Has E.T. talked about the sewing box after all? We will never know. See you next time Mathematician's Thoughts - Is Math Really Useful? Your gaussmath \ (\ endgroup \) |