Science is the only tool humanity possesses to discover how the world is made. From Galileo and moon landings, to the internet and iPads, science has been spectacularly successful. Yet strangely, at the root of this success Barrow says:
A perfect transcendental world? This is not about some fringe cult or the paranormal or extra sensory perception or UFO's, it is the opinion of one of the world's leading scientists and mathematicians. He believes that:
Not only does mathematics seem to be the blueprint of our physical world, Erwin Schrödinger, (Nobel Prize in Physics, 1933, and a leading figure in the Quantum Revolution) believed that:
Timeless? Something outside of time, something that exists before we discover it? Gives you a shiver up your spine!
Eugene Wigner (Nobel Prize in Physics, 1963), a hero of theoretical physics, wrote in a now iconic essay:
Something beyond reason? A miracle?
Roger Penrose, who is one of the world's leading mathematicians, and the Emeritus Rouse Ball Professor of Mathematics at the University of Oxford says:
Stephen Hawking, a former Lucasian Professor of Mathematics at the University of Cambridge, defined the mystery of mathematics precisely like this:
About the mystery that lies beneath science, David Layzer, a Professor of Astrophysics at Harvard University says:
Describing mathematics as a code, Marcus du Sautoy (Professor of Mathematics, University of Oxford) says:
About the actual nature of what mathematics might be, Peter Atkins, Professor of Chemistry at the University of Oxford thinks:
The final answer to all questions of being? Another hair-raiser? Elsewhere he wonders whether:
So what is mathematics? One might well ask, where is maths located? One of the most chilling aspects is the realisation that it is the only thing we know of that exists outside of time and space. It's not as though you can see it, or touch it or hear it. You can't even taste it or smell it, let alone actually measure it. Yet it exists. It has proved itself through the success of science to be the blueprint for all that does exist. Professor David Deutsch at the University of Oxford, who is the founder and a pioneer of Quantum Information Science, describes it like this:
Independent of the laws of physics? This suggests it is more comprehensive than the physical world. It appears to mean that it is in some way bigger than anything 'physical', like a multiverse. Bigger even than an infinite number of physical universes! Max Tegmark, Professor of Physics at the famous Massachusetts Institute of Technology, describes maths in a similar way to Roger Penrose:
So it seems that mathematics is 'out there', something beyond time and space, something independent of the human mind, and something that existed long before evolution contrived the human brain. This is not about religious experience or ethereal angels, it is much more concrete and fundamental, it is about what creates our reality. Marcus du Sautoy points out that:
Since our universe and a multiverse beyond can only be constructed from different forms of 'matter', it would seem that mathematics is a mystery beyond even a multiverse. John Barrow concludes that:
That is why discovering the nature of mathematics will surely be the greatest revolution ever to confront human consciousness. So what evidence is there? Actually, most of the greatest discoveries in the history of science have been made using mathematics alone. Many of them beyond anything ever imagined by humans. I want to explore this next.