# 5.42 explained — Tractatus Logico-Philosophicus

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

## What happens

Wittgenstein argues that logical connectives like '∨' and '⊃' are not genuine relations, as shown by the possibility of cross-defining them. This demonstrates that they are not primitive signs and do not signify relations.

## Themes in this chapter

### Logic and Tautology

The chapter examines the nature of logical connectives, showing they are not relations but part of the tautological structure of logic.

### Critique of Traditional Philosophy

Wittgenstein critiques Frege and Russell's treatment of logical primitives, arguing they are not primitive signs.

## Character check-ins

### Frege

Mentioned in context of logical primitive signs

### Bertrand Russell

Mentioned in context of logical primitive signs

### Mr. Wittgenstein

Author of the argument

## Key lines

> That ∨ , ⊃ , etc. , are not relations in the sense of right and left, etc. , is obvious.

Logical connectives like 'or' and 'implies' are not relations like spatial ones.

_Clarifies the non-relational nature of logical constants._

> The possibility of crosswise definition of the logical “primitive signs” of Frege and Russell shows by itself that these are not primitive signs and that they signify no relations.

The fact that logical signs can be defined in terms of each other proves they are not primitive and do not denote relations.

_Highlights the interdependence of logical constants._

## Links

- HTML: https://www.betterreads.online/discover/tractatus_logico_philosophicus_se/chapters/5-42
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- All chapters: https://www.betterreads.online/discover/tractatus_logico_philosophicus_se/chapters