# Truth-Operations on Elementary Propositions explained — Tractatus Logico-Philosophicus

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

## What happens

Wittgenstein defines truth-functions of elementary propositions as the results of operations, which he calls truth-operations, that take elementary propositions as their bases.

## Themes in this chapter

### Logical Atomism

The discussion of elementary propositions as bases for truth-operations reflects the logical atomist view that complex propositions are built from simple, atomic elements.

### Logic and Tautology

Truth-operations on elementary propositions are central to understanding how logical truths and tautologies are generated.

## Character check-ins

### Mr. Wittgenstein

Introduces the concept of truth-operations as the operations that yield truth-functions from elementary propositions.

## Key lines

> The truth-functions of elementary proposition, are results of operations which have the elementary propositions as bases. (I call these operations, truth-operations.)

Truth-functions of elementary propositions are produced by applying operations—which I call truth-operations—to those elementary propositions.

_Clarifies that truth-functions are not primitive but derived via specific operations on elementary propositions._

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