premise


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premise

Logic a statement that is assumed to be true for the purpose of an argument from which a conclusion is drawn

Premise

 

in the broad sense, that on the basis of which an inference or conclusion is drawn. Premises may be facts or judgments of facts, principles, axioms, postulates, or any events or propositions that are raw data from which some information that is new to us can be extracted directly or through reasoning. In this sense we may speak equally of premises of induction and premises of deduction.

In the narrow sense, premises proper in formally deductive logical constructs are propositions to which is applied some rule of inference or formulas symbolizing the propositions and comprising statements of the rules of inference in the investigator’s language. The concept of logical corollary is symmetrical to the concept of premise. These concepts are generally relative: a proposition may be a premise in one application of a rule of inference and a corollary in another. In logical formalisms of the axiomatic type, the premises of the first steps of deduction are stated in advance in the form of axioms and thus play the role of absolute premises, or prerequisites: the deductive procedure must necessarily begin with them. In natural calculi, in which reasoning follows the principle of assumptions that was known even in antiquity, there are no absolute premises.

Whatever their character, premises are a necessary condition for logical argumentation or proof. Here the question of the nonextraneous character of premises turns out to be essential. A premise that is extraneous to a given argument may always be replaced by the contradictory premise without damage to the argument. A law of logic that may be called the law of the extraneous premise corresponds to the rule

(A & BC) & (AC)) ⊃ (A & ┐ BC)

The fundamental task of logic is to investigate the corollaries of given premises and to find nonextraneous premises corresponding to given consequences. Within the limits of the formalism of the algebra of propositions, these problems have an exhaustive solution.

M. M. NOVOSELOV

References in periodicals archive ?
The fact that the informant misrepresented his purposes for entering the premises did not render the consent given to the informant involuntary.
However, there are several challenges at the customer premises that must be overcome for derived voice services to be widely deployed to residential customers.
While virtually any type of property can be appraised under each of these four fundamental premises, the results under each for the same property may be dramatically different.
Merseyside Police is committed to tackling drug and gun crime and the message to licensees and owners of licensed premises is clear if you permit your premises to be used by criminals and crimes are committed on your premises we will find out.
It acknowledged the police had stated they had a good working relationship with the designated premises supervisor and the management of the premises.
Courts in a majority of jurisdictions have interpreted designated-premises endorsements as requiring a causal connection between the damages in question and the "ownership, maintenance or use of" the designated premises and the "necessary or incidental" operations of those premises.
The insured opposed this DJ action, claiming, through her attorney, that the policy does not state in "clear English" that the insured must reside at the premises.
The guaranty most favorable to the landlord requires delivery of vacant possession of the premises with all monetary and performance obligations fulfilled through the date of delivery of possession, including the restoration of the security deposit.
Whether you wish to make the most of your existing premises, are looking for new premises, considering moving, or wish to find ways of tailoring your premises to business needs, a local chartered surveyor, backed by the real peace of mind that RICS membership brings, is just a phone call away.
A use clause that gives the lessee the ability to operate a variety of different businesses or uses on the premises so as to enhance its transferability.
Where the premises may be questionable is in the other three categories.
In the premises liability category, the median number of months from incident to trial was 36 months, according to the 2000 figures, vs.