# WikiJournal Preprints/Semantics of an imperative logic

Open access • Publication charge free • Public peer review

<meta name='citation_doi' value=>

## Article information

Author: Trace Fleeman y Garcia[i]

, Wikidata [[:d:|]] Missing or empty `|title=` (help)

## Abstract

A number of problems have been raised in regards to the construction of an imperative logic, i.e. a formal system which can incorporate imperative statements as well as those normally utilized in logic. This paper applies a performative theory of truth to these problems, by placing imperative statements in a seperate system anterior to classical logic, by [stuff]. The latter half of this paper is a study of imperative statements as they occur in informal logic.

## Introduction

Image caption text goes here

name of image creator, CC-BY 3.0

Manuscript text goes here

## Semantics of an imperative logic

The essential premise of this paper is that imperatives are anterior to propositions. Imperatives are necessarily social phenomena, the parallel between the performative act of truth in Strawson's theory should be clear. They are used to structure the space in which propositions inhabit, in fact their sole function is to establish propositions. Thus the imperative operator ${\displaystyle !}$ carries a meaning incredibly similar to the truth function in F. P. Ramsey's theory of truth, which is an important precursor. That is, within classical logic, ${\displaystyle !P}$ can only be

## Imperative statements in informal logic and natural language

While classical logic does not normally concern itself with commands, other logics do regularly utilize imperatives. In mathematical logic, proof by contradiction is usually rendered in natural language with imperative statements:

Suppose ${\displaystyle \neg p}$.[1]

While perhaps overly-simplistic, suppose (and assume) are imperatives. They do not have a logic value, but are rather artifacts of natural language. The above statement would simply be rendered as ${\displaystyle \neg p}$ in formal logic, a simple deceleration.

This highlights the actual function of the imperative as anterior to the logical content. Our formalization of imperatives

## Problems with imperative logic

A major flaw in this conception of imperative logic is that it greatly simplifies imperative statements (which in natural language are incredibly complex and diverse) to a simple operator on a proposition.

### Acknowledgements

Any people, organisations, or funding sources that you would like to thank.

### Competing interests

Any conflicts of interest that you would like to declare. Otherwise, a statement that the authors have no competing interest.

### Ethics statement

An ethics statement, if appropriate, on any animal or human research performed should be included here or in the methods section.