All chapters

Tractatus Logico-Philosophicus · Chapter

6.23 explained

Wittgenstein discusses the meaning of the equality sign, stating that it indicates substitutability between expressions, and that this substitutability must be evident from the logical form of the expressions themselves.

What happens

Wittgenstein discusses the meaning of the equality sign, stating that it indicates substitutability between expressions, and that this substitutability must be evident from the logical form of the expressions themselves.

Themes in this chapter

  • Logic and Tautology

    The equality sign and substitutability are treated as logical features inherent to the expressions.

Characters to notice

Key passages

  • If two expressions are connected by the sign of equality, this means that they can be substituted for one another. But whether this is the case must show itself in the two expressions themselves. It characterizes the logical form of two expressions, that they can be substituted for one another.

    The equality sign indicates that two expressions are interchangeable, but this interchangeability must be evident from the expressions themselves, revealing their logical form.

    Clarifies the role of equality as a marker of logical form.