# 5.12 explained — Tractatus Logico-Philosophicus

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

## What happens

Wittgenstein defines the logical relation of following (consequence) between propositions: the truth of p follows from the truth of q if every truth-ground of q is also a truth-ground of p.

## Themes in this chapter

### Logic and Tautology

This proposition directly addresses the logical relation of consequence, a core topic in Wittgenstein's treatment of logic.

## Character check-ins

### Mr. Wittgenstein

Author of the proposition; presents the logical condition for one proposition following from another.

## Key lines

> In particular the truth of a proposition p follows from that of a proposition q , if all the truth-grounds of the second are truth-grounds of the first.

Specifically, p is a logical consequence of q if every situation that makes q true also makes p true.

_Clarifies the truth-conditional definition of logical consequence._

## Links

- HTML: https://www.betterreads.online/discover/tractatus_logico_philosophicus_se/chapters/5-12
- Book: https://www.betterreads.online/discover/tractatus_logico_philosophicus_se
- All chapters: https://www.betterreads.online/discover/tractatus_logico_philosophicus_se/chapters