Philosophy Quotes

"The original question, 'Can machines think?' I believe is too meaningless to deserve discussion."

"Science is a differential equation. Religion is a boundary condition."

"The view that machines cannot give rise to surprises is due, I believe, to a fallacy to which philosophers and mathematicians are particularly subject."

"With the examples of the effects of organisation which we are familiar, the analogy suggests that organisation might be the answer to the whole problem."

"We cannot expect an undisputable answer; the argument is too much like a paradox."

"The statement 'I am thinking, therefore I am' is a satisfactory basis only for a philosophy of mind."

"It may be questioned whether intelligence can be exhibited at all by an inanimate being."

"The only question that remains is the extent to which we should apply anthropomorphic terminology in referring to its operations."

"The real question is not whether machines can think, but whether men ought to think of machines as thinking."

"The Church-Turing thesis cannot be a theorem."

"If we can explain away the genesis of obvious design without a designer, we can almost certainly accept the apparent genesis of design in the universe."

"The construction of consciousness itself requires the building blocks of mathematical truth."

"Every mathematical truth carries within it a philosophical consequence."

"The structure of thought itself mirrors the structure of the universe."

"Every mathematical discovery is also a discovery about the nature of mind."

"The rigorous examination of assumptions is the beginning of all philosophy."

"The structure of language shapes but does not determine the structure of thought."

"The architect of thought must first understand the materials of thought."

"The infinite! No other question has ever moved so profoundly the spirit of man."

"The particular stands in relation to the universal as the body to the soul."

"The problem of the infinite is the ultimate problem of all philosophy."

"Every mathematical object carries within it the seeds of its own meaning."

"The human spirit yearns for both absolute certainty and infinite possibility."

"The continuous and the discrete: these are the two aspects of reality we must reconcile."

"To practice mathematics is to explore the very structure of thought itself."

"The infinite is not a destination, but a direction of inquiry."

"The structure of mathematics mirrors the structure of reality itself."

"Incompleteness is not a failure of mathematics, but a glimpse of infinity."

"The infinite variety of mathematics is contained within its eternal principles."

"Every proof is a conversation between the mathematician and the universe."