Axioms Quote by Gottfried Leibniz
“Finally there are simple ideas of which no definition can be given; there are also axioms or postulates, or in a word primary principles, which cannot be proved and have no need of proof.”
About This Quote
Source Treat: Discourse on Metaphysics, 1686
Some concepts are intuitive and undefinable, while foundational axioms are accepted without proof.
In simple terms: Basic ideas can be undefinable; some principles need no proof.
Key Takeaway
Accept intuitive truths and foundational axioms.
Themes
philosophy
epistemology
logic
Mood
contemplative
analytical
Type
theoretical
reflective
When to use this quote
- mathematical reasoning
- scientific theory building
- everyday decision making
Key Concepts
axioms
intuition
foundations
Questions to Reflect On
- What concepts in your field feel undefinable?
- How do you decide which axioms to accept?
A Different Perspective
Not all useful ideas can be rigorously defined.
