Sequence of Dependencies
Sines, cosines,and logarithms do have actual value. What they are is that they are ways to show how these basic building blocks of reasoning can be used to deduce surprising things or difficult things. In some sense they're like the historical coverages of the triumphs of mathematics, so one cannot just talk abstractly about “yes let's talk about mathematical logic”.
One reason mathematics is difficult to understand is actually because of that network of prerequisites. Math is one of these strange subjects for which the concepts are chained in sequences of dependencies.
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Professor Po-Shen Loh talked about mathematical reasoning and learning process that anyone can be found in math.
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