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Functors making functions natural transformations and vice-versa.

Trying to understand the idea behind $T$-conductor

Definitions and concepts that are different for various types of spaces - sources for seeing "the bigger picture"?

Proof of Stewart's Theorem using elementary geometry

Why to calculate "Big O" if we can just calculate number of steps?

The main idea behind Big O notation

What questions does Topology answer?

Crux of linear algebra

Purely algebraic context in which homology arises naturally?

Build a "rich" first-order logic within a given category

Why does Galois theory most naturally take place in the context of fields?

The miraculous nature of the "matrix coefficients" $\langle Tv,v \rangle$ (especially in the context of positive type functions)

Is there any intuition of why the both, regularized logarithm of zero is $-\gamma$ and the regularized logarithm of Bernoulli umbra is $-\gamma$?

A useful way of characterizing primes?

Traditional and modern approaches to class field theory

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