All chapters

Tractatus Logico-Philosophicus · Chapter

5.124 explained

This proposition states that a proposition implicitly asserts all propositions that can be logically deduced from it, emphasizing the logical consequences inherent in any assertion.

What happens

This proposition states that a proposition implicitly asserts all propositions that can be logically deduced from it, emphasizing the logical consequences inherent in any assertion.

Themes in this chapter

  • Logic and Tautology

    The proposition highlights how logical consequence is embedded within the original assertion, relating to the nature of logical inference.

Key passages

  • A proposition asserts every proposition which follows from it.

    If a proposition is true, then all propositions that logically follow from it are also implicitly asserted as true.

    This captures the idea that logical entailment is part of the meaning of a proposition.