Part I The Imperative Mood 'Virtue, then, is a disposition governing our choices '. ARISTOTLE, Eth. Nic. 36 Prescriptive Language. ...

The existing literature treats of several investigations with a certain bearing on the question which is roughly indicated by the title “Imperatives and Logic.” Some of those investigations, however, are entirely outside the scope of the present work.Mally sets himself the task of developing a “Logik des Willens” constituting a parallel to the usual logic, the “Logik des Denkens". In order to emphasize its independence, the author also calls this “Logik des Willens” “Deontik”, and he conceives it as being based (...) on the “Wesensgesetze” of will in the same way as the usual logic is conceived as being based on the “Wesensgesetze” of thought. The author develops a formalistic deductive system on the basis of 5 axioms of demands, including the axiom that there is at least one fact which is unconditionally demanded, and through a lengthy series of theorems he arrives at the sentence that what is unconditionally demanded is identical with what is actually the case: “was sein soll, ist Tatsache”. Similarly, the author develops a system of axioms for “right” volition, including the axiom that right volition is non-contradictory. (shrink)

This paper aims to establish three major theses: (1) Not only declarative sentences, but also interrogatives and imperatives, may be classified as true or as false. (2) Declarative, imperative, and interrogative utterances may also be classified as honest or as dishonest. (3) Whether an utterance is honest or dishonest is logically independent of whether it is true or is false. The establishment of the above theses follows upon the adoption of a principle for identifying what is meant by any sentence, (...) declarative, interrogative, or imperative. The analysis aims to show that meaning is to be attributed to the uttered or written sentence-token, rather to the thereby exhibited sentence-type. Further, the meaning of the sentential token is to be identified with a purpose of the speaker, that the speaker would reveal to the addressee by uttering the sentence. The to be revealed purpose is analysed into two components: an ultimate concern (that the addressee stand in such and such a relation--e.g., of believing, or informing the speaker about, or making it true that) and an ultimate topic of concern (the state of affairs, i.e., proposition, relative to which the speaker would have the addressee stand in the specified relation). Sentential utterances "signify" different purposes by "expressing" different ultimate concerns and "indicating" different ultimate topics of concern. Variations in expressed concern are correlated with variations in sentential form, such as declarative, interrogative and imperative. Variations in indicated topic of concern are correlated with variations in the subject and predicate of the uttered sentence. Thus, for example, utterances of "Johnny will jump in the lake," "Will Johnny jump in the lake?" and "Johnny, go jump in the lake!" all indicate one and the same ultimate topic of concern but express different ultimate concerns with this topic. A sentential utterance is true or false according as its indicated topic of concern is true or false. Hence, declaratives, interrogatives and imperatives may all be classified as true or as false. But honesty or dishonesty is a function (explained in the paper) of the expressed concern, rather than of the topic of concern. Hence, although utterances of all sentential forms are honest or dishonest, their honesty or dishonesty is logically independent of their truth or falsity. (shrink)

It is the purpose of this paper to carry out a partial syntactical analysis of imperatives. Imperatives form a large body of linguistic expressions, appearing, e.g. in mathematical proofs be a continuous function!”), laws, moral injunctions, instruction, etc. For analytical purposes we distinguish between two forms of imperatives, the fiat and the directive. By a directive we mean an imperative which includes an indication of the agent who is to carry it out. For example, “Henry, don't forget to stop at (...) the grocery!” is a directive. By a fiat we mean an imperative which includes no reference to an agent who is to carry it out. For example, “Let there be light!” is a fiat. This is a distinction made in terms of meaning. If, however, proper symbolic devices were introduced for the formalization of imperatives, it could be made in a syntactical manner. Thus we could distinguish between imperatives which possess a certain operator—the directive operator formed by putting a name within square brackets—as “[Henry]!”, and imperatives which do not possess this operator, e.g. “Let it be the case that Henry does not forget to stop at the grocery!” In the following we pay attention only to fiats. This, of course, involves a great limitation of subject matter and excludes topics of great interest. (shrink)

The large number of writers who have in recent years attacked the problem of the logical nature of commands appear generally in agreement in accepting the distinction of common grammar between imperative and declarative sentences as representing, albeit in no clear one-to-one manner, some real difference in the logical character of the two types of expression, and possibly in the psychological sign-functioning mechanism itself. The crucial logical difference adduced is that commands can apparently rot be classified as true or false. (...) One is then, however, confronted with the problem of interpreting arguments involving imperatives which appear syllogistic in form, such as:Keep your promises!You promised to pay on Wednesday.Pay on Wednesday! (shrink)