Vectors and arrows
How are vectors similar to arrows of categories, and how are they different?
What makes a category, and is an arrow a function? I don't yet know if a function is an arrow, or whether a vector is a function, nor clearly understand what makes a category. A vector has magnitude, but a morphism does not. I think arrows are not necessarily functions, are they? Composing an arrow with it's inverse is similar (the same?) to adding the complement to a vector.
I wonder what kind of patterns are we on the look out for, when exploring such connections.
nowadays #
I am still fascinated (more and more so) with maths, while having lots of fun, despite struggling a lot with this mathematics. Recently I heard again of the power of "stress-can-be-productivity-enhancing" mindset, which I practice adopting. Trying to transform my anxiety, when I notice it, to "well, this is awesome for me, and it helps me learn this hard subject".
Concepts gain an enriched meaning. Like that of function
What is a line? #
I walked and wondered what a line was, and I could not figure it out.
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