The enormous usefulness of mathematics in the natural sciences is something bordering on the mysterious and there is no rational explanation of it.

The enormous usefulness of mathematics in the natural sciences is something bordering on the mysterious and there is no rational explanation of it.

The world is very complicated and it is clearly impossible for the human mind to understand it completely. Man has therefore devised an artifice which permits the complicated nature of the world to be blamed on something which is called accidental and thus permits him to abstract a domain in which simple laws can be found.

The unreasonable efficiency of mathematics in science is a gift we neither understand nor deserve.

When the province of physical theory was extended to encompass microscopic phenomena through the creation of quantum mechanics, the concept of consciousness came to the fore again. It was not possible to formulate the laws of quantum mechanics in a fully consistent way without reference to the consciousness.

The miracle of the appropriateness of the language of mathematics for the formulation of the laws of physics is a wonderful gift which we neither understand nor deserve.

[T]he laws of quantum mechanics itself cannot be formulated ... without recourse to the concept of consciousness.