“One of Nature's deep secrets is the fact that the outcomes of the laws of Nature do not have to possess the… — John D. Barrow Copy Share Image
All our surest statements about the nature of the world are mathematical statements, yet we do not know what mathematics "is"... and… — John D. Barrow Copy Share Image
“Non-Euclidean' became a byword for non-absolute knowledge. It also served to illustrate most vividly the gap between mathematics and the natural world.… — John D. Barrow Copy Share Image
“Moreover, there is no known reason why the geometry of space and time should be described by the particular types of curved… — John D. Barrow Copy Share Image
“Grosseteste influenced Roger Bacon's ideas about mathematics and Nature. Bacon wrote hundreds of pages on the subject and, indeed, no historical figure… — John D. Barrow Copy Share Image
“First, energy is quantised: in atoms it does not take on all possible values but only a ladder of specific values whose… — John D. Barrow Copy Share Image
“The phenomenon of symmetry breaking reveals something deeply significant about the workings of the universe. The laws of Nature are unerringly symmetrical.… — John D. Barrow Copy Share Image
“There are many other innovations in Boscovich's detailed treatise, but we are interested here in drawing attention to just this one point:… — John D. Barrow Copy Share Image
“A true standard requires us to find some way of defining what we mean by one unit of time which is the… — John D. Barrow Copy Share Image
“Yet, despite the symmetry of the laws of Nature, we observe the outcomes of those symmetrical laws to be assymetrical states and… — John D. Barrow Copy Share Image
“All we can assert with confidence is a negative: if the constants of Nature were not within one percent or so of… — John D. Barrow Copy Share Image
“Aristotle's later view of the relationship between mathematics and Nature could not have been more different. He wanted to rescue physical science… — John D. Barrow Copy Share Image
“This 'Planck length' is the only quantity with the dimensions of a length that can be built from the three mist fundamental… — John D. Barrow Copy Share Image
“All our puzzles about whether or not lambda exists and, if so, what is responsible for giving it such a strange value,… — John D. Barrow Copy Share Image
“One of Nature's deep secrets is the fact that the outcomes of the laws of Nature do not have to possess the same symmetries… — John D. Barrow Copy Share Image
“The effect of the 'time becomes space' proposal is that there is no definite moment or point of creation. In more conventional quantum mechanical… — John D. Barrow Copy Share Image
“Humans are distinguished further by the highly effective way in which they have pooled the individual intelligence of single individuals to produce a collective… — John D. Barrow Copy Share Image
We can predict the present without having to know everything about the past. — John D. Barrow Copy Share Image
All our surest statements about the nature of the world are mathematical statements, yet we do not know what mathematics "is"... and so we… — John D. Barrow Copy Share Image
“If the deep logic of what determines the value of the fine-structure constant also played a significant role in our understanding of all the… — John D. Barrow Copy Share Image
“Each of us is a complicated assymetrical outcome of the laws of electromagnetism and gravity.” — John D. Barrow Copy Share Image
“Impressed by the success of high-level mathematics in the formulation of the general theory of relativity in 1915, we find that Einstein's life-long quest… — John D. Barrow Copy Share Image
“Jewish philosopher Martin Buber, who died in 1965, wrote of how the mere thought of the infinite led him to contemplate suicide: “A necessity… — John D. Barrow Copy Share Image
“As we look way back into the first instants of the Big Bang, we find the quantum world that we described in Chapter 3.… — John D. Barrow Copy Share Image
“The inclusion of just one contradiction (like 0 = 1) in an axiomatic system allows any statement about the objects in the system to… — John D. Barrow Copy Share Image
