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Able Quote by Keith Devlin

“What is mathematics? Ask this question of person chosen at random, and you are likely to receive the answer "Mathematics is the study of number." With a bit of prodding as to what kind of study they mean, you may be able to induce them to come up with the description "the science of numbers." But…” quote by Keith Devlin
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“What is mathematics? Ask this question of person chosen at random, and you are likely to receive the answer "Mathematics is the study of number." With a bit of prodding as to what kind of study they mean, you may be able to induce them to come up with the description "the science of numbers." But that is about as far as you will get. And with that you will have obtained a description of mathematics that ceased to be accurate some two and a half thousand years ago!”

Keith Devlin

About This Quote

Source Talk: "What is Mathematics?" at Stanford, 2015

Mathematics has been historically defined as the study of numbers, but that definition is outdated; the field now encompasses abstract structures and patterns beyond mere numbers.

In simple terms: Old definitions of math focus on numbers, but modern math is broader.

Key Takeaway

Update your understanding of math’s scope.

Themes

definition history abstraction

Mood

analytical inquisitive

Type

educational philosophical

When to use this quote

  • education
  • research
  • interdisciplinary work

Key Concepts

mathematics philosophy of science

Questions to Reflect On

  • What aspects of math are missed by simple definitions?
  • How does this affect teaching?
A Different Perspective

Simplifying may ignore nuanced subfields.

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