PLATO, GÖDEL, AND THE REVERSED COSMOS

Plato and Innatism

Plato and Innatism

Visiting the Gödel Universe

Visualization of general relativity illustrates aspects of Einstein's insights into the curved nature of space and time to the expert as well as the layperson. One of the most interesting models which came up with Einstein's theory was developed by Kurt Gödel in 1949. The Gödel universe is a valid solution of Einstein's field equations, making it a possible physical description of our universe....

Gödel Homomorphisms as Gödel Modal Operators

We extend propositional Gödel logic by a unary modal operator, which we interpret as 5 Gödel homomorphisms, i.e. functions [0, 1] → [0, 1] that distribute over the interpretations of the 6 binary connectives of Gödel logic. We show that validity in the propositional fragment has a simple 7 superintuitionistic Hilbert-type proof system, which is not structurally complete, and that validity 8 doe...

Plato and Divination

Plato uses the idea of divinatory knowledge as a metaphorical descriptor for a variety of kinds of daytime, waking knowing. What unites these examples is that they all include discussion of a kind of knowing that cannot account for itself, and that is tentative, imagistic and non-discursive. These metaphorical uses can further be illuminated by his more detailed discussion of divinatory knowled...