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Tractatus Logico-Philosophicus · Chapter

4.4611 explained

Wittgenstein clarifies that tautologies and contradictions, while lacking sense, are not nonsensical but are integral parts of the symbolic system, analogous to the role of zero in arithmetic.

What happens

Wittgenstein clarifies that tautologies and contradictions, while lacking sense, are not nonsensical but are integral parts of the symbolic system, analogous to the role of zero in arithmetic.

Themes in this chapter

  • Logic and Tautology

    Tautologies and contradictions are part of the symbolism, not nonsensical.

  • Nonsense and Meaning

    Distinguishes between nonsensical propositions and those that are senseless but part of the symbolic system.

Characters to notice

  • Mr. Wittgenstein

    Author of the proposition; distinguishes tautology and contradiction from nonsense.

Key passages

  • Tautology and contradiction are, however, not nonsensical; they are part of the symbolism, in the same way that “ 0 ” is part of the symbolism of Arithmetic.

    Tautologies and contradictions are not meaningless gibberish; they function within the symbolic system just as zero functions within arithmetic.

    Clarifies the role of tautologies and contradictions in logical symbolism.