# 6.1232 explained — Tractatus Logico-Philosophicus

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

## What happens

Wittgenstein distinguishes between essential logical general validity and accidental general validity, using the example of 'all men are mortal' to illustrate the latter. He argues that propositions like Russell's axiom of reducibility are not logical propositions, and if true, they are only accidentally true.

## Themes in this chapter

### Logic and Tautology

Wittgenstein distinguishes essential logical validity (tautological) from accidental general validity, critiquing non-tautological propositions like Russell's axiom.

### Critique of Traditional Philosophy

Wittgenstein challenges the logical status of Russell's axiom, showing how traditional philosophical assumptions can be mistaken for logical truths.

## Character check-ins

### Mr. Wittgenstein

Author of the Tractatus, presenting his critique of logical propositions.

### Bertrand Russell

Referenced for his 'axiom of reducibility,' which Wittgenstein argues is not a logical proposition.

## Key lines

> Logical general validity, we could call essential as opposed to accidental general validity, e.g. of the proposition 'all men are mortal.'

Essential logical validity is the kind that holds necessarily, unlike accidental general validity seen in empirical generalizations like 'all men are mortal.'

_Wittgenstein contrasts necessary logical truths with contingent empirical statements._

> Propositions like Russell's 'axiom of reducibility' are not logical propositions, and this explains our feeling that, if true, they can only be true by a happy chance.

Russell's axiom of reducibility is not a genuine logical proposition; if it happens to be true, it is only by accident, not by logical necessity.

_Wittgenstein dismisses the axiom as lacking the essential character of logical truths._

## Links

- HTML: https://www.betterreads.online/discover/tractatus_logico_philosophicus_se/chapters/6-1232
- Book: https://www.betterreads.online/discover/tractatus_logico_philosophicus_se
- All chapters: https://www.betterreads.online/discover/tractatus_logico_philosophicus_se/chapters