“If the deep logic of what determines the value of the fine-structure constant also played a significant role in our understanding of… — John D. Barrow Copy Share Image
“The ease with which collaboration occurs in mathematical research and the essential similarity of the fruits of such collaboration to that of… — 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
“When an important change takes place in science, in which a new theory takes the stagw, the incoming theory is generally an… — John D. Barrow Copy Share Image
“The first scientist to contemplate the significance of places where things apparently cease to exist or become infinite ('singularities' that we would… — John D. Barrow Copy Share Image
“Science is predicated upon the belief that the Universe is algorithmically compressible and the modern search for a Theory of Everything is… — John D. Barrow Copy Share Image
“Most scientists and mathematicians operate as if Platonism is true regardless of whether they believe that it is. That is, they work… — John D. Barrow Copy Share Image
“Since only a narrow range of the allowed values for, say, the fine structure constant will permit observers to exist in the… — 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
“Today, a science fiction writer looking for a futuristic tale of silicon dominance would not pick upon the chemistry of silicon so… — John D. Barrow Copy Share Image
“The fact that simultaneous discovery occurs in mathematics, as well as the sciences, points toward some objective element within their subject matter… — 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
