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

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.

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

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.
References in periodicals archive ?
But the value was still higher among girls whose parents signed up for reminders, at 65%, than among those whose parents did not sign up, at 51%, and the historic controls, at 53%.
However, again he did not sign the offered contract and while the club honoured the new terms Carl informed the Head Coach of his intention to join Doncaster Dragons last Sunday.
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.
Our new guidance also makes clear that doctors must not sign contracts that attempt to prevent them from raising concerns with professional regulators such as the GMC and systems regulators, such as the Care Quality Commission.
Sources said Madhav Kumar told the Parliamentary Committee on International Relations and Human Rights that he would not sign any deal with New Delhi that would give rise to disagreement among political parties in Kathmandu.
The region's cabinet does not sign contracts to buy arms from any side without the federal government's permission," General Jalal Kareem told Aswat al-Iraq.
We want to note that this correspondent did not sign his name.
Even before the firm suggested these adjustments, Medtrans' CFO had resigned, after indicating he could not sign a management letter attesting to the accuracy of the company's financial statements because he did not think they were fairly presented.
Members do not sign long-term contracts; and they exercise with their peers; moving through a total 30-minute workout that combines strength and sustained cardiovascular exercise accompanied by classic rock music from the 50's, 60's and 70's.
Paltrow will try to ignore everyone as she walks by, or she'll just point-blank tell you in her condescending tone, 'I do not sign autographs,'" collector Anthony Risi said.
Players have until June 19 to withdraw from the NBA draft and remain in college, providing they do not sign with an agent.