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Tractatus Logico-Philosophicus · Chapter

5.121 explained

This proposition states that if the truth-grounds of q are contained within those of p, then p follows from q, establishing a fundamental relationship of logical consequence.

What happens

This proposition states that if the truth-grounds of q are contained within those of p, then p follows from q, establishing a fundamental relationship of logical consequence.

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SetupAftermathClimax
  • Setup
  • Escalation
  • Breaking point
  • Aftermath
  • Closing

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Themes in this chapter

  • Logic and Tautology

    The containment of truth-grounds directly relates to the logical structure of propositions and the nature of logical consequence.

Key passages

  • “The truth-grounds of q are contained in those of p ; p follows from q .”

    If every situation that makes q true also makes p true, then p is a logical consequence of q.

    This defines logical consequence in terms of truth-ground containment.