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Argument Quote by Jacob T. Schwartz

“Because of mathematics precise, formal character, mathematical arguments remain sound even when they are long and complex. In contast, common sense arguments can generally be trusted only if they remain short; even moderately long nonmathematical arguments rapidly becomes farfetched an dubious.” quote by Jacob T. Schwartz
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“Because of mathematics precise, formal character, mathematical arguments remain sound even when they are long and complex. In contast, common sense arguments can generally be trusted only if they remain short; even moderately long nonmathematical arguments rapidly becomes farfetched an dubious.”

Jacob T. Schwartz

About This Quote

Source Essay: Mathematics and Logic, 1970

Mathematical reasoning stays reliable regardless of length, whereas common‑sense arguments lose credibility when extended.

In simple terms: Math stays sound even long; common sense falters when long.

Key Takeaway

Prefer formal logic for complex issues.

Themes

logic reasoning precision

Mood

analytical critical

Type

philosophical educational

When to use this quote

  • debate
  • policy analysis
  • technical writing

Key Concepts

mathematical rigor argument structure cognitive bias

Questions to Reflect On

  • When is informal reasoning appropriate?
  • How to balance rigor and accessibility?
A Different Perspective

Common sense can be valuable in simple contexts.

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