# 5.11 explained — Tractatus Logico-Philosophicus

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

## What happens

Wittgenstein defines logical consequence: if all truth-grounds common to a set of propositions are also truth-grounds of another proposition, then that proposition follows from the set.

## Themes in this chapter

### Logic and Tautology

This proposition directly addresses the logical relation of following from, a core concept in logic.

## Character check-ins

### Mr. Wittgenstein

Author of the proposition defining logical consequence.

## Key lines

> If the truth-grounds which are common to a number of propositions are all also truth-grounds of some one proposition, we say that the truth of this proposition follows from the truth of those propositions.

When every situation that makes a set of propositions true also makes another proposition true, that other proposition is a logical consequence of the set.

_Clarifies the definition of logical consequence in terms of truth-grounds._

## Links

- HTML: https://www.betterreads.online/discover/tractatus_logico_philosophicus_se/chapters/5-11
- Book: https://www.betterreads.online/discover/tractatus_logico_philosophicus_se
- All chapters: https://www.betterreads.online/discover/tractatus_logico_philosophicus_se/chapters