Comments by "Saltuk Buğra Çiftçi" (@yorgunkaptaan) on "This Is the Calculus They Won't Teach You" video.

  1. That is really interseting one. Even to reach the image of a vector, mathematicians need to explore three different concepts consecutively. They were all about formalizing higher dimensions by algebra. Even though the method of defining things by fixing their properties(like x, y, z coordinates) was known since Descartes, It is hard to combine and link different mathematical ideas and make a concreate definition! According to Ian Stewarts(from his book named Taming Infinity), the roots of the vector concept came from Hamilton's ideas about quaternions, Grassman's hypercomplex numbers, and Gibbs's ideas about vectors. Then Gibbs wrote a book named Vector Analysis with an engineer. This formalization process is concluded by 60 years. If we seek the ideas much further back, we will ended up with Descartes. Nearly 250 years to define a vector!
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  2. At least we can try. We cannot grasp all of the math, but tracing the trajectories of ideas is amazing! Unfortunately, we cannot trace it perfectly, even if we have infinite amout of time. Because the souls of these ideas are died with their explorers, we have got only texts which are passed to us. But who knows maybe when we are tracking on the blurry paths of old giants, we can find a new gem that no one ever realized! Because they know the blessed paths, their ways are worth investigating.
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  3. I don't like that metaphor either. It is just too materialistic and irritating.
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  4. F* of Hitler :D Newton was a kind man bro. He is humble as I read. What is the point that y dont like about him, just interested.
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  5. At least we can try. We cannot grasp all of the math, but tracing the trajectories of ideas is amazing! Unfortunately, we cannot trace it perfectly, even if we have infinite amout of time. Because the souls of these ideas are died with their explorers, we have got only texts which are passed to us. But who knows maybe when we are tracking on the blurry paths of old giants, we can find a new gem that no one ever realized! Because they know the blessed paths, their ways are worth investigating.
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