Skip to content

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.” quote by G. H. Hardy
Download Open image
“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.”

G. H. Hardy

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.

Key Takeaway

Value experimentation and computation in mathematics.

Themes

mathematics history methodology

Mood

analytical inquisitive

Type

historical philosophical

When to use this quote

  • research projects
  • academic study
  • algorithm development

Key Concepts

experimental approach conjecture formation

Questions to Reflect On

  • How does experimentation shape mathematical discovery?
  • What role does computation play in modern proofs?
A Different Perspective

Reliance on conjecture can delay rigorous proof.

3.5 out of 5 (8 ratings)

More by G. H. Hardy

Explore all 78 G. H. Hardy quotes

More Branches quotes

Browse all 1,228 Branches quotes