# 5.132 explained — Tractatus Logico-Philosophicus

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

## What happens

Wittgenstein argues that logical inference is justified solely by the propositions involved, not by external laws of inference. He criticizes Frege and Russell for treating such laws as necessary, calling them senseless and superfluous.

## Themes in this chapter

### Logic and Tautology

The proposition critiques the need for external inference laws, emphasizing that logical relations are inherent in propositions.

### Critique of Traditional Philosophy

Wittgenstein directly challenges the Frege-Russell approach to inference, deeming their laws senseless.

## Character check-ins

### Mr. Wittgenstein

Author of the proposition, presenting his view on inference.

### Frege

Mentioned as one who uses laws of inference to justify conclusions.

### Bertrand Russell

Mentioned alongside Frege as employing laws of inference.

## Key lines

> If p follows from q , I can conclude from q to p ; infer p from q . The method of inference is to be understood from the two propositions alone.

If proposition p is a logical consequence of q, then I can deduce p from q. The way this inference works is entirely contained in the propositions themselves.

_Clarifies Wittgenstein's view that inference is self-contained._

> Laws of inference, which—as in Frege and Russell—are to justify the conclusions, are senseless and would be superfluous.

Rules of inference, like those used by Frege and Russell to validate conclusions, are meaningless and unnecessary.

_Highlights Wittgenstein's rejection of external logical rules._

## Links

- HTML: https://www.betterreads.online/discover/tractatus_logico_philosophicus_se/chapters/5-132
- Book: https://www.betterreads.online/discover/tractatus_logico_philosophicus_se
- All chapters: https://www.betterreads.online/discover/tractatus_logico_philosophicus_se/chapters