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Tractatus Logico-Philosophicus · Chapter

4.46 explained

Wittgenstein distinguishes two extreme cases among possible groups of truth-conditions: tautology (true for all truth-possibilities) and contradiction (false for all truth-possibilities).

What happens

Wittgenstein distinguishes two extreme cases among possible groups of truth-conditions: tautology (true for all truth-possibilities) and contradiction (false for all truth-possibilities).

Themes in this chapter

  • Logic and Tautology

    Defines tautology and contradiction as extreme cases of truth-conditions

Characters to notice

Key passages

  • Among the possible groups of truth-conditions there are two extreme cases. In the one case the proposition is true for all the truth-possibilities of the elementary propositions. We say that the truth-conditions are tautological . In the second case the proposition is false for all the truth-possibilities. The truth-conditions are self-contradictory . In the first case we call the proposition a tautology, in the second case a contradiction.

    There are two limiting types of truth-conditions: tautologies, which are true for every possible assignment of truth-values to elementary propositions, and contradictions, which are false for every such assignment.

    Clarifies the definitions of tautology and contradiction in terms of truth-conditions