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Purity of Mathematics

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My friend, Abhishek has put up a series of posts which describes various branches of Mathematics (Applied Mathematics, Pure Mathematics). Some of you may not be able to read them as they are in hindi.
Reading these I remembered a similar post on xkcd comparing purity of various field (branches)

mathematics purity
I’ll agree with it but comic misses the Applied Mathematics, which i think will have application in the whole spectrum of various branches mentioned by comics. On the other side Pure mathematics is purely based on reason, ignoring its usability.

Mathematicians have always had differing opinions regarding the distinction between pure and applied mathematics. One of the most famous (but perhaps misunderstood) modern examples of this debate can be found in G.H. Hardy’s A Mathematician’s Apology.

Applied mathematics sought to express physical truth in a mathematical framework, whereas pure mathematics expressed truths that were independent of the physical world.


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