Leonhard Euler Quote

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.


In: G. Polya, Induction and Analogy in Mathematics (Volume 1)

Picture Quote 1

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...

Picture Quote 2

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...

Picture Quote 3

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...

Picture Quote 4

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...