Authors
Topics
Lists
Pictures
Resources
More about George Pólya
George Pólya -
Demonstrative
Quotes
4 Sourced Quotes
View all George Pólya Quotes
Source
Report...
Everyone knows that mathematics offers an excellent opportunity to learn demonstrative reasoning, but I contend also that there is no other subject in the usual curricula of the schools that affords a comparable opportunity to learn plausible reasoning.... let us learn proving, but also let us learn guessing.
George Pólya
Source
Report...
Demonstrative reasoning penetrates the sciences just as far as mathematics does, but it is in itself (as mathematics is in itself) incapable of yielding essentially new knowledge about the world around us. Anything new that we learn about the world involves plausible reasoning, which is the only kind of reasoning for which we care in everyday affairs.
George Pólya
Source
Report...
The result of the mathematician's creative work is demonstrative reasoning, a proof; but the proof is discovered by plausible reasoning, by guessing. If the learning of mathematics reflects to any degree the invention of mathematics, it must have a place for guessing, for plausible inference.
George Pólya
Source
Report...
The general or amateur student should also get a taste of demonstrative reasoning... he should acquire a standard with which he can compare alleged evidence of all sorts aimed at him in modern life.
George Pólya
Quote of the day
Nobody ever did anything very foolish except from some strong principle.
William Lamb, 2nd Viscount Melbourne
George Pólya
Creative Commons
Born:
December 13, 1887
Died:
September 7, 1985
(aged 97)
More about George Pólya...
Featured Authors
Lists
Predictions that didn't happen
If it's on the Internet it must be true
Remarkable Last Words (or Near-Last Words)
Picture Quotes
Confucius
Philip James Bailey
Eleanor Roosevelt
Letitia Elizabeth Landon
Popular Topics
life
love
nature
time
god
power
human
mind
work
art
heart
thought
men
day
×
Lib Quotes