The only mathematics worth

studying is pure mathematics which isn't intended to solve social, economic, or industrial problems.

Mathematics at its purest is the only mathematics I would recommend learning.

Learning practical mathematics deprives you of the true mathematics expeierience.

The only way to truly understand mathematics is to a. derive expressions yourself and b. derive new expressions using previous equations as building blocks.

Applied mathematics is essentially plug and chug. You put the values in the equation and get an an output but have a lack of understanding of how the equation was derived, not can you apply that knowledge to create new expressions.

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morphism
Homework Helper
Wrong.

Yeah, and applied mathematicians like Archimedes, Newton, and Stokes never did anything of value. <sarcasm>. Did you crib this notion from G.H Hardy?

symbolipoint
Homework Helper
Gold Member
studying is pure mathematics which isn't intended to solve social, economic, or industrial problems.

Mathematics at its purest is the only mathematics I would recommend learning.

Learning practical mathematics deprives you of the true mathematics expeierience.

The only way to truly understand mathematics is to a. derive expressions yourself and b. derive new expressions using previous equations as building blocks.

Applied mathematics is essentially plug and chug. You put the values in the equation and get an an output but have a lack of understanding of how the equation was derived, not can you apply that knowledge to create new expressions.

That outrageously misrepresents Mathematics as a tool.

Any scientific or technical analyst will at some time use numeric information and equations to derive algebraic formulas. Sometimes this may be part of arranging a system of not-necessarily linear systems of equations, and this person may need to solve the system, at least in practical values.

Yeah, and applied mathematicians like Archimedes, Newton, and Stokes never did anything of value. <sarcasm>. Did you crib this notion from G.H Hardy?

But they created original work and formulas.

But they created original work and formulas.

So doesn't this contradict your original argument? Newton did more than just plug and chug. It looks to me like your're trolling. I could easily make the same argument in reverse.

The only math worth studying is math that has practical value, for we can then apply it to learn about the world around us. So called "pure math" is nothing but mental wankery, and anyone who does it is depriving themselves of the "true" experience of math, which is comparing numerical predictions to empirical data.

I COULD make this argument, but it seems pretty silly, in the same way that your original statment is silly.

morphism
Homework Helper
It is a troll. Just ignore it.

Its interesting see how a proof was done. I agree that we lose a degree of appreciation when we simply memorize equations, identities, even calculus. The need for an equation, why it was sought after and discovered, in my opinion, more constructive to the intellect.
I agree

Mathematics is not a cult. There is no reason to look down on people who apply their knowledge to solve practical problems, as there is no reason to look down on those who apply their knowledge to solve theoretical problems.

PLug and chug is not mathematics. A lot of people master plug and chug and thus assume falsely that they are good at mathematics.

chroot
Staff Emeritus