Quotable Mathematics

"The results of t shows that P is between .02 and .05. The result must be judged significant, though barely so [...] we find... t=1.844...

"For each of the elements into which we have divided the amount of fluid matter, its  shape will be altered during the time dt, and als...

"A good description of the data summarizes the systematic variation and leaves residuals that look structureless. That is, the residual...

"[The information of a message can] be defined as the 'minimum number of binary decisions which enable the receiver to construct th...

"These Exponents they call Logarithms, which are Artificial Numbers, so answering to the Natural Numbers, as that the addition and Subt...

"Cautions about combining groups: apples and oranges. In computing an average, be careful about combining groups in which the average f...

"A heuristic is ecologically rational to the degree that it is adapted to the structure of an environment. Thus, simple heuristics and ...

"[…] probability as a measurable degree of certainty; necessity and chance; moral versus mathematical expectation; a priori an a poster...

"All the [mathematical] models that we have considered […] have been rough and ready. They have all been obviously crude approximat...

"A little ingenuity is involved, but once a couple of tricks are learnt, it is not hard to show many sets of numbers are countable, whi...

"Since one could directly derive the expansion in series of algebraic functions according to the powers of an increment, the derivative...

"A sequence can be finite or infinite. One way of defining a finite sequence is to list every one of its terms. But to define an infini...

"It is told that those who first brought out the irrationals from concealment into the open perished in a shipwreck, to a man. For the ...