This book is about physics and its about physics and its relationship with mathematics and how they seem to be intimately related and to what extent can you explore this relationship and trust it.
Roger PenroseConsciousness ... is the phenomenon whereby the universe's very existence is made known.
Roger PenroseBut I think it is a serious issue to wonder about the other platonic absolutes of say beauty and morality.
Roger PenroseThere are considerable mysteries surrounding the strange values that Nature's actual particles have for their mass and charge. For example, there is the unexplained 'fine structure constant' ... governing the strength of electromagnetic interactions.
Roger PenrosePeople think of these eureka moments and my feeling is that they tend to be little things, a little realisation and then a little realisation built on that.
Roger PenroseI imagine that whenever the mind perceives a mathematical idea, it makes contact with Plato's world of mathematical concepts... When mathematicians communicate, this is made possible by each one having a direct route to truth, the consciousness of each being in a position to perceive mathematical truths directly, through the process of 'seeing'.
Roger Penrose