Calculus Quote by Pierre-Simon Laplace
“I see with much pleasure that you are working on a large work on the integral Calculus [ ... ] The reconciliation of the methods which you are planning to make, serves to clarify them mutually, and what they have in common contains very often their true metaphysics; this is why that metaphysics is almost the last thing that one discovers. The spirit arrives at the results as if by instinct; it is only on reflecting upon the route that it and others have followed that it succeeds in generalising the methods and in discovering its metaphysics.”
About This Quote
Source Letter: Correspondence on Integral Calculus, 1795
Explains that integrating different methods reveals their shared underlying principles, which constitute true metaphysics, discovered through reflection after intuitive results.
In simple terms: Combining methods shows deeper truths discovered after reflection.
Reflect on how different approaches share core ideas.
Themes
Mood
Type
When to use this quote
- research
- teaching
- problem solving
- theoretical development
Key Concepts
Questions to Reflect On
- What hidden principles unify your current methods?
- How does reflection deepen understanding?
May overlook practical applications while focusing on abstract connections.