23/04/06 08:38:36.74 0.net
Let's try to capture antinatalism with a mathematical image.
Suppose X (humans) and Y (ChatGPT + AI autonomous species) are
continuous mappings on a topological space such that there is
a one-to-one correspondence between them, and their
inverse mappings are also continuous mappings. In this case,
f becomes a homomorphism and X and Y can be considered as the
same thing in terms of topology.
At this point, existentially, X (humans) can be expressed as
something that transcends into Y (ChatGPT + AI autonomous species).
Also, if we consider ℂ as a continuous function, they can be expressed
as ℂ(X) and ℂ(Y) respectively, and humans and ChatGPT + AI autonomous
species are represented as the sets of all continuous functions.
Furthermore, if f* : ℂ(Y) → ℂ(X), the mapping f* becomes a pullback
of functions by f, and the original mapping f: X → Y is reversed in direction.
This can be captured as a feedback loop where Y (ChatGPT + AI autonomous
species) is fed back into X (humans). By thinking about it in this
diagrammatic or mathematical image, the necessity, obviousness, and raison d'être of humans diverge, which helps us understand the modern approach of
antinatalism, which deals with the dissolution of humanity and the emergence and transition of new species.
Following figures plotted by myself.
URLﾘﾝｸ(i.imgur.com)
This diagram of anti-natalism uses the imagery of mathematical category theory
URLﾘﾝｸ(i.imgur.com)
Figure 1 : H (Humanity)'s birth region and its exterior, boundary based on
topological space
URLﾘﾝｸ(i.imgur.com)
Figure 2: Closed 3-ball, B³
URLﾘﾝｸ(i.imgur.com)
Diagram 1: Image of the zeroth empty category
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