constructive

(redirected from constructively)
Also found in: Dictionary, Thesaurus, Medical, Legal.

constructive

1. Law deduced by inference or construction; not expressed but inferred
2. Law having a deemed legal effect

constructive

(mathematics)
A proof that something exists is "constructive" if it provides a method for actually constructing it. Cantor's proof that the real numbers are uncountable can be thought of as a *non-constructive* proof that irrational numbers exist. (There are easy constructive proofs, too; but there are existence theorems with no known constructive proof).

Obviously, all else being equal, constructive proofs are better than non-constructive proofs. A few mathematicians actually reject *all* non-constructive arguments as invalid; this means, for instance, that the law of the excluded middle (either P or not-P must hold, whatever P is) has to go; this makes proof by contradiction invalid. See intuitionistic logic for more information on this.

Most mathematicians are perfectly happy with non-constructive proofs; however, the constructive approach is popular in theoretical computer science, both because computer scientists are less given to abstraction than mathematicians and because intuitionistic logic turns out to be the right theory for a theoretical treatment of the foundations of computer science.
References in periodicals archive ?
Unlike preferential transfers (which typically only involve a 90-day reach back period from the bankruptcy petition date), there is a significantly greater reach back period to avoid constructively fraudulent transfers.
Liberal Democrats on Stockton Council are still prepared to work constructively with members of all parties to achieve the best possible outcomes for the people of Stockton.
Or use a gap year constructively through training ( some people qualify to teach skiing or diving, for example.
i]ncome although not actually reduced to a taxpayer's possession is constructively received by him in the taxable year during which it is credited to his account, set apart for him, or otherwise made available so that he may draw upon it at any time, or so that he could have drawn upon it during the taxable year if notice of intention to withdraw had been given.
A general reluctance to acknowledge and constructively address psychiatric illness among our own ranks no doubt fuels the occurrence of substance abuse, disruptive behaviors, interpersonal conflict, poor performance and career dissatisfaction.
And whilst we have decided to accept the report from the Regional Assembly, and responded to it as constructively as possible, we are very disappointed with its overall quality and accuracy, which falls well below standards set in previous Assembly hearings.
The very best relationships occur when both the agent and company clearly define and communicate their needs and aspirations and then work together constructively to achieve their goals.
An employment tribunal panel in Bury St Edmunds, Suffolk, in December, ruled Mr English was discriminated against and victimised under the Disability Discrimination Act, but members decided he was not constructively dismissed.
The question," says Sherry Turkle, a technology researcher at the Massachusetts Institute of Technology, "is whether you can use it constructively to bring it back to the face to face.
Last year Mr Willie took the assembly to an employment tribunal alleging he had been constructively dismissed from his job after he failed to be re-appointed to head the equality policy unit when the post was re-graded.
According to the Reverend James Martin-Schramm of the Evangelical Lutheran Church in America, "UNFPA's resolute and conscientious approach to working constructively with the Chinese government has been far more effective than the decision by the Bush administration to rescind funding.
As a rule, if an individual can choose between receiving money or some other benefit, the tax law considers the individual to have constructively received the cash, with the result that the value of the benefit is taxable as wages.

Full browser ?