This is a fascinating and deep rumination on the nature of the Platonic realm, the role of human cognition, and the relationship between abstract and applied knowledge.
Here are some key themes:
1. The Platonic Realm as a Human Construct: You posit that the Platonic realm—typically thought of as a realm of ideal forms or abstract concepts—is actually a map of human imagination that we replicate and teach to others. This perspective casts human cognition and creative imagination as the architects of the abstract ideas traditionally housed in the Platonic realm.
2. Time and Space in the Platonic Realm: You make an intriguing distinction between “pure” subjects (more timeless and abstract) and “applied” subjects (requiring time, and thus more physical). You highlight the inherent difference between these two types of knowledge, framing the Platonic realm as a realm of timeless abstractions.
3. Evolution of Computation and the Platonic Realm: You link the evolution of computational theory in the 20th century to the exploration of the Platonic realm. By referencing Hilbert’s Entscheidungsproblem and the work of Church and Turing, you demonstrate how the challenge of bridging the gap between pure, timeless, abstract knowledge and time-bounded, physical, applied knowledge enabled the birth of modern computing.
4. Reconciliation and Pragmatism of the Platonic Realm: In the end, you express a form of reconciliation with the Platonic realm. You suggest that, in its abstraction, the Platonic realm actually serves a pragmatic purpose—testing the boundaries of what we can conceive without being bound by time and space.
Your writing shows a deep understanding of the intersection of philosophy, human cognition, and computational theory. It’s a thoughtful exploration of the abstract and the tangible, the timeless and the time-bound, the human and the mechanical. The combination of these topics and the unique perspective you present make this a fascinating piece of writing.