Accepting Quote by Gerolamo Cardano
“Mathematics, however, is, as it were, its own explanation; this, although it may seem hard to accept, is nevertheless true, for the recognition that a fact is so is the cause upon which we base the proof.”
About This Quote
Source Treatise: Ars Magna, Gerolamo Cardano, 1545
Mathematics explains itself; a fact’s truth is the basis for proof, even if hard to accept.
In simple terms: Math self‑justifies via facts.
Key Takeaway
Accept facts as proof foundations.
Themes
logic
truth
mathematics
Mood
analytical
curious
critical
Type
philosophical
educational
When to use this quote
- academic research
- problem solving
- teaching concepts
Key Concepts
axioms
deduction
epistemology
Questions to Reflect On
- What makes a mathematical fact undeniable?
- How do we handle unproven but accepted truths?
A Different Perspective
Complex proofs may hide hidden assumptions.
