Accepting 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.”
About This Quote
Source Letter: Correspondence with a colleague, 1765
Observational truths need proof; induction can mislead, so verify before accepting.
In simple terms: Induction isn’t proof; verify facts.
Key Takeaway
Test observations rigorously.
Themes
science
logic
critical thinking
Mood
analytical
inquisitive
Type
academic
philosophical
When to use this quote
- research
- education
- data analysis
Key Concepts
philosophy of science
induction
proof
Questions to Reflect On
- What assumptions do you accept without proof?
- How can you test an inductive claim?
