The moment of truth, the sudden emergence of a new insight, is an act of intuition. Such intuitions give the appearance of miraculous flushes, or short-circuits of reasoning. In fact they may be likened to an immersed chain, of which only the beginning and the end are visible above the surface of consciousness. The diver vanishes at one end of the chain and comes up at the other end, guided by invisible links.

Of all forms of mental activity, the most difficult to induce even in the minds of the young, who may be presumed not to have lost their flexibility, is the art of handling the same bundle of data as before, but placing them in a new system of relations with one another by giving them a different framework, all of which virtually means putting on a different kind of thinking-cap for the moment. It is easy to teach anybody a new fact...but it needs light from heaven above to enable a teacher to break the old framework in which the student is accustomed to seeing.

Every creative act – in science, art, or religion – involves a regression to a more primitive level, a new innocence of perception liberated from the cataract of accepted beliefs.

History knows no scruples and no hesitation. Inert and unerring, she flows towards her goal. At every bend in her course she leaves the mud which she carries and the corpses of the drowned.

Coincidence may be described as the chance encounter of two unrelated causal chains which-miraculously, it seems-merge into a significant event. It provides the neatest paradigm of the bisociation of previously separate contexts, engineered by fate. Coincidences are puns of destiny. In the pun, two strings of thought are tangled into one acoustic knot; in the coincidental happening, two strings of events are knitted together by invisible hands.

The definition of the individual was: a multitude of one million divided by one million.

The real achievement in discoveries... is seeing an analogy where no one saw one before... The essence of discovery is that unlikely marriage of cabbages and kings — of previously unrelated frames of reference or universes of discourse — whose union will solve the previously insoluble problem.