Branches Quote by G. H. Hardy
“The theory of numbers, more than any other branch of mathematics, began by being an experimental science. Its most famous theorems have all been conjectured, sometimes a hundred years or more before they were proved; and they have been suggested by the evidence of a mass of computations.”
About This Quote
Source Book: A Mathematician's Apology, 1940
Number theory originated as an experimental field, with conjectures often preceding proofs by centuries, driven by computational evidence.
In simple terms: Number theory started experimentally, with many conjectures before proofs.
Value experimentation and computation in mathematics.
Themes
Mood
Type
When to use this quote
- research projects
- academic study
- algorithm development
Key Concepts
Questions to Reflect On
- How does experimentation shape mathematical discovery?
- What role does computation play in modern proofs?
Reliance on conjecture can delay rigorous proof.