Mathematical truth transcends arbitrary rules established by formal systems, indicating that it possesses an inherent absolute quality. This perspective implies that mathematical truths exist independently and cannot be fully encapsulated by any defined set of rules created by humans.
The Platonic view, which suggests that these truths reside in a realm beyond physical representation, significantly influenced Gödel's work. Roger Penrose discusses these concepts in his book, "Shadows of the Mind," highlighting the relationship between mathematics and the nature of consciousness.