# 5.534 explained — Tractatus Logico-Philosophicus

> Chapter companion for Tractatus Logico-Philosophicus by Ludwig Wittgenstein.

## What happens

Wittgenstein argues that apparent propositions such as identity statements and their logical consequences cannot be expressed in a correct logical notation, implying they are not genuine propositions.

## Themes in this chapter

### Critique of Traditional Philosophy

Wittgenstein rejects the meaningfulness of identity statements, challenging traditional logical assumptions.

### Nonsense and Meaning

Identity propositions are shown to be inexpressible in a proper logical notation, suggesting they are nonsensical.

## Character check-ins

### Mr. Wittgenstein

Author of the Tractatus, presenting the critique of identity propositions.

## Key lines

> And we see that the apparent propositions like: “ a = a ”, “ a = b . b = c . ⊃ a = c ”, “ ( x ) . x = x ”. “ ( ∃ x ) . x = a ”, etc. cannot be written in a correct logical notation at all.

We realize that seemingly valid statements such as 'a equals a', 'if a equals b and b equals c then a equals c', 'for all x, x equals itself', and 'there exists an x such that x equals a' cannot be formulated in a properly constructed logical language.

_Wittgenstein denies the legitimacy of identity as a logical relation._

## Links

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