Proportionate Quotes (4 quotes)
A teacher of mathematics has a great opportunity. If he fills his allotted time with drilling his students in routine operations he kills their interest, hampers their intellectual development, and misuses his opportunity. But if he challenges the curiosity of his students by setting them problems proportionate to their knowledge, and helps them to solve their problems with stimulating questions, he may give them a taste for, and some means of, independent thinking.
In How to Solve It (1948), Preface.
Only mediocrity can be trusted to be always at its best. Genius must always have lapses proportionate to its triumphs.
In 'Dan Leno', The Saturday Review of Politics, Literature, Science and Art (5 Nov 1904), 98, 574. Variations of this quote, lacking any primary source, have been spuriously attributed to W. Somerset Maugham and Jean Giraudoux, respectively as “Only a mediocre person is always at his best” (referring to writers); and “Only the mediocre are always at their best.”
The weakness of a soul is proportionate to the number of truths that must be kept from it.
In The Passionate State of Mind (1955), 40.
Theories are like a stairway; by climbing, science widens its horizon more and more, because theories embody and necessarily include proportionately more facts as they advance.
From An Introduction to the Study of Experimental Medicine (1865), as translated by Henry Copley Greene (1957), 165.