negation

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negation

Logic
a. the operator that forms one sentence from another and corresponds to the English not
b. a sentence so formed. It is usually written --p, ~p, p or ¬p, where p is the given sentence, and is false when the given sentence is true, and true when it is false
Collins Discovery Encyclopedia, 1st edition © HarperCollins Publishers 2005

negation

  1. (LOGIC) a proposition that is the denial of another and is true only if the other is false.
  2. (MARXISM) a phase or ‘moment’ in a dialectical process (see DIALECTIC) which negates a previous one, leading ultimately to a resolution (‘negation of the negation’). In the work of members of the FRANKFURT SCHOOL OF CRITICAL THEORY (especially ADORNO's Negative Dialectics, 1973) negativity was expressed as an opposition to all fixed categories and to the ‘administered world’ to which both orthodox Marxism and POSITIVISM were seen to lead.
Collins Dictionary of Sociology, 3rd ed. © HarperCollins Publishers 2000
The following article is from The Great Soviet Encyclopedia (1979). It might be outdated or ideologically biased.

Negation

 

a philosophical category expressing a certain type of relationship between two consecutive stages or states of a developing object or process. Negation is a necessary part of development and of the struggle between opposites. In “its comprehension and affirmative recognition of the existing state of things,” the dialectic “includes, at the same time also, the recognition of the negation of that state, of its inevitable breaking up” (K. Marx, in K. Marx and F. Engels, Soch., 2nd ed., vol. 23, p. 22).

As it develops, an object inevitably reaches the stage of its own negation: that is, it becomes qualitatively something other than itself. The negation of the old and the rise of the new constitute a chain without beginning or end. In this process, the developing object simultaneously becomes something other than itself and, in a certain sense, remains what it was. For example, youth negates childhood and is itself negated by maturity, which is negated by old age. At the same time, these are merely different stages in the development of the same person. This continual self-negation characterizes ongoing self-development in nature, society, and cognition. “True, natural, historical, and dialectical negation (taken formally) is precisely what constitutes the driving principle of all development—the splitting into antitheses, their struggle and resolution” (F. Engels, ibid., vol. 20, p. 640).

Dialectical negation is, above all, creative negation, in which the old is not simply discarded and destroyed but “removed” (aufgehoben) and preserved in a new capacity. V. I. Lenin emphasized that an essential part of the dialectic is “negation as a moment of connection, as a moment of development, retaining the positive” (Poln. sobr. soch, 5th ed., vol. 29, p. 207). This “retention” of the positive, the unity of negation and continuity in development, is an important feature of dialectical negation as a universal principle of being, which manifests itself in different ways at different levels of the organization of matter.

A. G. SPIRKIN

The Great Soviet Encyclopedia, 3rd Edition (1970-1979). © 2010 The Gale Group, Inc. All rights reserved.

negation

[nə′gā·shən]
(mathematics)
The negation of a proposition P is a proposition which is true if and only if P is false; this is often written ∼ P. Also known as denial.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
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Onyonka who broke ranks with his opposition colleagues early this year when he publicly confessed President Uhuru won fair and square has also not signed.
The "conservative" Lutherans who did not sign are at one with Catholics in rejecting abortion and the current permissive immorality, while the "liberal" Evangelicals, who did sign, embrace it as part of an acceptable culture.
Inasmuch as Jack Shaban, a co-owner of the property, did not sign the contract (binder) to sell the property, the contract was void.
Public Interest Research Group, "The President has indicated that he thinks the bill is overly regulatory' and may not sign it.
The return was not signed by either H or W, but did include the signature of their paid preparer.
Idris argued that his agents were sent away from most of the constituency's 50 polling stations hence did not sign the results forms.
In December 1988, Thornton sent a new set of consent forms and an updated, year-end calculation of Franklin's account, now valued at $68,713; once again, Franklin did not sign the forms.
'Those who have not signed are state chairmen of Perak who is still under police investigation, Selangor and Sarawak.
This filing was not signed by McGinniss trial counsel.
Gavin Hodgson, 23, regional trainer, said: "I have not signed up to do it, I am a bit young at the minute.
It has meant Rosanna, who's currently on a St Patrick's week tour of the US and Canada, has still not signed her Miss World contract, four months after winning her crown.
has not signed on to Kyoto, but equally important to us is that Australia and Russia have not signed on.