# 4.45 explained — Tractatus Logico-Philosophicus

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

## What happens

Wittgenstein discusses the number of possible groups of truth-conditions for n elementary propositions, noting that these groups can be ordered in a series.

## Themes in this chapter

### Logical Atomism

The discussion of elementary propositions and their truth-conditions is central to logical atomism.

### Logic and Tautology

The ordering of truth-conditions relates to the logical structure of propositions.

## Character check-ins

### Mr. Wittgenstein

Author of the proposition

## Key lines

> For n elementary propositions there are L n possible groups of truth-conditions.

Given n elementary propositions, the number of distinct sets of truth-conditions is L n.

_Clarifies the combinatorial nature of truth-conditions._

> The groups of truth-conditions which belong to the truth-possibilities of a number of elementary propositions can be ordered in a series.

The sets of truth-conditions corresponding to the truth-possibilities of several elementary propositions can be arranged sequentially.

_Highlights the possibility of ordering truth-condition groups._

## Links

- HTML: https://www.betterreads.online/discover/tractatus_logico_philosophicus_se/chapters/4-45
- Book: https://www.betterreads.online/discover/tractatus_logico_philosophicus_se
- All chapters: https://www.betterreads.online/discover/tractatus_logico_philosophicus_se/chapters