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/sci/ - Science & Math


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14834387 No.14834387 [Reply] [Original]

Category theory has changed the way I view the world...

>> No.14834572

>tranny shit
no thanks

>> No.14834725
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14834725

>>14834387
>obj(D) is a set
A what now?

>> No.14834986

>>14834725
category trannies pretend to be above it all but still work in ZFC / NBG / some set-theoretic metatheory

>> No.14835722

>>14834387
Has category theory ever led to anything new?
It just seems like an autistic framework for tabulating/abstractifying results that were reached by some other creative way of thinking.

>> No.14835847

>>14835722
no, its pure jewish pilpul

>> No.14835876
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14835876

Fractional Distance: The Topology of the Real Number Line with Applications to the Riemann Hypothesis
>https://vixra.org/abs/2111.0072
Recent analysis has uncovered a broad swath of rarely considered real numbers called real numbers in the neighborhood of infinity. Here we extend the catalog of the rudimentary analytical properties of all real numbers by defining a set of fractional distance functions on the real number line and studying their behavior. The main results of are (1) to prove with modest axioms that some real numbers are greater than any natural number, (2) to develop a technique for taking a limit at infinity via the ordinary Cauchy definition reliant on the classical epsilon-delta formalism, and (3) to demonstrate an infinite number of non-trivial zeros of the Riemann zeta function in the neighborhood of infinity. We define numbers in the neighborhood of infinity as Cartesian products of Cauchy equivalence classes of rationals. We axiomatize the arithmetic of such numbers, prove all the operations are well-defined, and then make comparisons to the similar axioms of a complete ordered field. After developing the many underlying foundations, we present a basis for a topology.