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Certain Quote by Anatol Rapoport

“A theorem is a proposition which is a strict logical consequence of certain definitions and other propositions.” quote by Anatol Rapoport
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“A theorem is a proposition which is a strict logical consequence of certain definitions and other propositions.”

Anatol Rapoport

About This Quote

A theorem is a statement that follows necessarily from given definitions and previously proven propositions.

In simple terms: Theorems are logical conclusions from definitions and earlier statements.

Key Takeaway

Ensure definitions are clear before proving.

Themes

logic mathematics proof definition

Mood

analytical educational

Type

technical philosophical

When to use this quote

  • academic research
  • teaching
  • problem solving
  • software verification

Key Concepts

deductive reasoning formal systems

Questions to Reflect On

  • What assumptions underlie this theorem?
  • How can you test its validity?
A Different Perspective

Complex definitions can make proofs difficult to construct.

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