“Sometimes the answers are hiding in plain sight. A eureka moment came to Archimedes when he connected the dots between the ordinary routine of taking a bath and the scientific pursuit of determining the volume of an irregularly shaped object.”

“I don't believe in the sort of eureka moment idea. I think it's a myth. I'm very suspicious that actually Archimedes had been thinking about that problem for a long time. And it wasn't that suddenly it came to him.”

“It was a dramatic moment in the history of our civilisation when, in about the year 240 B. C., Archimedes leapt out of his bath and ran naked into the street of Syracuse shouting "Eureka" - "I have found it!" He had found the theoretical answer to a practical problem, that of finding the specific gravity of solids, known ever since as "Archimedes' Principle". We know this because Archimedes had written and published many books, on mathematics and mechanics, and some of these have survived and are preserved in libraries for us to use today. He made a major contribution to the progress of humanity, and over the centuries, that progress has been continually stimulated and accelerated by the invention of new theories, new tools and machines, which explain our world, and lighten the burden of securing the basic necessities of life.”

“Take two opposites, connect the dots, and you have a straight line.”

“When Spring came on with fresh delight
To cheer the soul, and charm the sight,
While every easy breezes, softer rain
And warmer suns salute the plain.”

“The universality, invariance, and elegance of principles governing the universe may be reflected in principles of the minds that have evolved in that universe - provided that the mental principles are formulated with respect to the abstract spaces appropriate for the representation of biologically significant objects and their properties. (1) Positions and motions of objects conserve their shapes in the geometrically fullest and simplest way when represented as points and connecting geodesic paths in the six-dimensional manifold jointly determined by the Euclidean group of three· dimensional space and the symmetry group of each object. (2) Colors of objects attain constancy when represented as points in a three-dimensional vector space in which each variation in natural illumination is cancelled by application of its inverse from the three-dimensional linear group of terrestrial transformations of the invariant solar source. (3) Kinds of objects support optimal generalization and categorization when represented, in an evolutionarily shaped space of possible objects, as connected regions with associated weights determined by Bayesian revision of maximum entropy priors”

“Human consciousness is conditioned in a dialectical interplay between subject and object, in which man actively shapes the world he lives in at the same time as it shapes him.”

“The idea occurred to him when he was twenty. At first it was only a vague idea, a question looming — what should I do? — with an answer taking shape: nothing.”

“Again, you can't connect the dots looking forward; you can only connect them looking backwards. So you have to trust that the dots will somehow connect in your future. You have to trust in something — your gut, destiny, life, karma, whatever. Because believing that the dots will connect down the road will give you the confidence to follow your heart even when it leads you off the well-worn path and that will make all the difference.”

“From now on I’ll connect the dots my own way.”