Quotable Mathematics

"Implication is thus the very texture of our web of belief, and logic is the theory that traces it." (Willard v O Quine, "The...

"For imagination sets the goal picture which our automatic mechanism works on. We act, or fail to act, not because of will, as is so co...

"A computer would deserve to be called intelligent if it could deceive a human into believing that it was human." (Alan Turing, ...

"Induction applied to the physical sciences is always uncertain, because it rests on the belief in a general order of the universe, an ...

"Man must cling to the belief that the incomprehensible is comprehensible. Else he would give up investigating. " (Johann Wolfgang...

"A technology that by chance gains an early lead in adoption may eventually 'corner the market' of potential adopters, with the...

"A poem therefore is to be defined as a structure of words whose sound constitutes a rhythmical unity, complete in itself, irrefragable...

"[...] a hypothesis test tells us whether the observed data are consistent with the null hypothesis, and a confidence interval tells us...

"The objectivist view is that probabilities are real aspects of the universe - propensities of objects to behave in certain ways - rath...

"Data are generally collected as a basis for action. However, unless potential signals are separated from probable noise, the actions t...