I like the idea of the quadrivium as aspects of mathematics:
Math
Geometry (math in space)
Music (math in time)
Astronomy (math in space and time)
Obviously, modern science has much more to cover, but I I like the idea that it is all applications of math to different areas.
It's possible they were referring to reading to classics, finding a waifu, and getting published. You did present these three criteria without which user would have to "face it".
>Mathematics, Design, Psychology, Natural Science
Is this the Quadrivium for the current era?
>The Quadrivium is pretty interesting too, if not as directly useful today
You are taking these topics as stuck in time and not evolving as they were. Does anyone say to study Aristotle's logic when the topic of the trivium comes up? No, typically they'll point to a course or book in propositional and predicate logic.
Having the aim of studying something like cosmology in depth would give you a major overview of fundamental physics education. To understand the evolution of the universe, you need to understand particle physics and field theories. To understand the large scale structure of the universe you need general and special relativity. To understand stellar evolution, you need thermodynamics among other topics. To understand theories about the multiverse you need quantum mechanics. To understand things in our own backyard like the movement of large objects, you need classical mechanics. Thus through wanting to understanding cosmology, you also get the equivalent of an undergrad level of knowledge in physics.
The same thing could be said of geometry. Why? You can easily spread out from Euclidean constructions to analytic and projective geometry, and then to other geometric topics that draw on vast major fields of mathematics. Differential geometry needs calculus and analysis. Algebraic geometry draws on abstract algebra. Fractal geometry draws on measure theory, topology, and dynamic systems (ODEs/PDEs).
>-In reality, it is derived from the sacred realm of the forms, existing in all points of time and space from the big bang to the end of the universe.
>realm of forms
throw that shit in the trash