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Quote by Leonhard Euler

“The kind of knowledge which is supported only by observations and is not yet proved must be carefully distinguished from the truth; it is gained by induction, as we usually say. Yet we have seen cases in which mere induction led to error. Therefore, we should take great care not to accept as true such properties of the numbers which we have discovered by observation and which are supported by induction alone. Indeed, we should use such a discovery as an opportunity to investigate more exactly the properties discovered and to prove or disprove them; in both cases we may learn something useful.”

Quote by Leonhard Euler

Author

Leonhard Euler
Leonhard Euler

Leonhard Euler was a Swiss mathematician who made significant contributions to mathematics, physics, and engineering. He was born on April 15, 1707, and died on September 18, 1783. Euler's work covered a wide range of mathematical branches, from calculus to number theory, and his publications had a profound impact on posterity. more

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