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Justification Quote by Ludwig Wittgenstein

“All numbers in logic must be capable of justification. Or rather it must become plain that there are no numbers in logic. There are no pre-eminent numbers.” quote by Ludwig Wittgenstein
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““All numbers in logic must be capable of justification.   Or rather it must become plain that there are no numbers in logic.   There are no pre-eminent numbers.””

Ludwig Wittgenstein

About This Quote

Source Philosophical Essay: "Tractatus Logico-Philosophicus", 1922

Numbers lack intrinsic logical status; they must be justified or else excluded from pure logic.

In simple terms: Numbers need justification in logic.

Key Takeaway

Question the foundations of logical numbers.

Themes

logic mathematics justification

Mood

analytical skeptical

Type

philosophical academic

When to use this quote

  • theoretical research
  • education
  • philosophical debate

Key Concepts

Philosophy of language foundations of math

Questions to Reflect On

  • What would logic look like without numbers?
  • Is justification always possible?
A Different Perspective

Some argue numbers are indispensable for reasoning.

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