sadar_

I am aware of these applications. I am not aware of any "smaller" practical applications that are derived thanks to the categorical interpretation, can you give any examples?

First of all, when I said concrete things I did not mean for example theoretical physics concepts. I mean things like economics[0] or philosophy[1].

I am saying that mathematical abstraction is not the right tool to get a better understanding for a lot of subjects. My questions was asking if this is an instance of someone with a categorical hammer and seeing categorical nails everywhere, or that it is a super natural fit.

Most mathematicians (I know) do mathematics for the mathematics. It is in itself a goal that does not need an external use. So yes, mathematics for a lot of mathematicians is just mental gymnastics that turned out to be very useful. Probably the reasons for some people's love for math and the usefulness are related.

[0] https://www.quora.com/Are-there-applications-of-group-theory...

[1] https://en.wikipedia.org/wiki/Alain_Badiou#Mathematics_as_on...

As a mathematician, usually I find attempts to apply abstract mathematical concepts to concrete real-world concepts clumsy and hurting both the abstraction and the concrete thing.

Is this the case with this text?