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Algebra Quote by Irving Kaplansky

“We [he and Halmos] share a philosophy about linear algebra: we think basis-free, we write basis-free , but when the chips are down we close the office door and compute with matrices like fury.” quote by Irving Kaplansky
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“We [he and Halmos] share a philosophy about linear algebra: we think basis-free, we write basis-free , but when the chips are down we close the office door and compute with matrices like fury.”

Irving Kaplansky

About This Quote

Source Interview: Mathematical Association of America, 1979

Abstract thinking guides theory, but concrete computation resolves problems.

In simple terms: Theory guides, computation solves.

Key Takeaway

Blend abstract insight with practical calculation.

Themes

mathematics problem solving theory vs practice

Mood

analytical pragmatic

Type

educational technical

When to use this quote

  • teaching
  • research
  • software development
  • data analysis

Key Concepts

linear algebra basis‑free thinking computational methods

Questions to Reflect On

  • When should you switch from theory to calculation?
  • How do you keep intuition alive?
A Different Perspective

Pure abstraction can become disconnected from real‑world needs.

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