Previous months: - 0909(1) - 0910(1) - 0912(1) - 1002(1) - 1003(2)
[6] viXra:1003.0065 [pdf] submitted on 6 Mar 2010
Authors: Feng Liu, Florentin Smarandache
Comments: 10 pages
The paper presents a fresh new comprehensive ideology on Neutrosophic Logic based on contradiction study in a broad sense: general critics on conventional logic by examining the essence of logic, fresh insights on logic definition based on Chinese philosophical survey, and a novel and genetic logic model as the elementary cell against Von Neumann oriented ones based on this novel definition. As for the logic definition, the paper illustrates that logic is rather a tradeoff between different factors than truth and false abstraction. It is stressed that the kernel of any intelligent system is exactly a contradiction model. The paper aims to solve the chaos of logic and exhibit the potential power of neutrosophy: a new branch of scientific philosophy.
[5] viXra:1003.0062 [pdf] submitted on 6 Mar 2010
Authors: Feng Liu, Florentin Smarandache
Comments: 7 pages
The paper presents a fresh new start on the neutrality of neutrosophy in that "both A and Non-A" as an alternative to describe Neuter-A in that we conceptualize things in both intentional and unintentional background. This unity of opposites constitutes both objective world and subjective world. The whole induction of such argument is based on the intensive study on Buddhism and Daoism including I-ching. In addition, a framework of contradiction oriented learning philosophy inspired from the Later Trigrams of King Wen in I-ching is meanwhile presented. It is shown that although A and Non-A are logically inconsistent, but they are philosophically consistent in the sense that Non-A can be the unintentionally instead of negation that leads to confusion. It is also shown that Buddhism and Daoism play an important role in neutrosophy, and should be extended in the way of neutrosophy to all sciences according to the original intention of neutrosophy.
[4] viXra:1002.0003 [pdf] submitted on 2 Feb 2010
Authors: Willi Penker
Comments: 3 pages
Shifting assignments between infinite sets is creating a disturbance within the assignment itself which cannot be removed. Assignments carrying such a disturbance cannot be seen or taken as a static assignment.
[3] viXra:0912.0017 [pdf] submitted on 8 Dec 2009
Authors: Feng Xu
Comments: 6 pages, first published in 2006 in Hadronic Journal, volume 29, page 227
The set of all the subsets of a set is its power set, and the cardinality of the power set is always larger than the set and its subsets. Based on the definition and the inequality in cardinality, a set cannot include its power set as element, and a power set cannot include itself as element. "Russell's set" is a putative set of all the sets that don't include themselves as element. It can be shown, however, that "Russell's set" can never take in all such sets. This is because its own power set, which (like any power set) is a set that doesn't include itself (thus qualifies as an element for "Russell's set"), cannot (although should) be taken in due to the cardinality inequality. Thus "Russell's set" can never be formed. Without it, Russell's paradox, which forced the modification of Cantor's intuitive set theory into a more restricted axiomatic theory, can never be formulated. The reported approach to resolve Russell's paradox is fundamentally different from the conventional approaches. It may restore the self-consistency of Cantor's original set theory, make the Axiom of Regularity unnecessary, and expand the coverage of set to assemblies that include themselves as element.
[2] viXra:0910.0041 [pdf] submitted on 21 Oct 2009
Authors: Amrit S. Sorli
Comments: 2 pages
In 1949, Gödel postulated a theorem that stated: "In any universe described by the theory of relativity, time cannot exist". Gödel idea was that forth coordinate of space-time is not time. Fourth coordinate is spatial too. In this article will be shown that on the base of elementary perception and experimental data Gödel theorem is right. With eyes one observes universe is in a continuous change. A change n gets transformed into a change n+1, the change n+1 into a change n+2 and so on. Clocks measure a frequency, velocity and numerical order of change. Experimental date confirms that changes and clocks do not run time; they run in space only. Time is not a part of space. Fourth coordinate of space-time is spatial too. Space itself is timeless. Physical time that is clocks run is man created physical reality. Fundamental arena of the universe is timeless space. In the timeless space into which massive bodies and elementary particles move there is no past and no future. Past and future belong to the inner neuronal space-time that is a result of neuronal activity of the brain.
[1] viXra:0909.0039 [pdf] submitted on 16 Sep 2009
Authors: Victor Porton
Comments: 2 Pages.
In the framework of ZF formally considered generalizations, such as whole numbers generalizing natural number, rational numbers generalizing whole numbers, real numbers generalizing rational numbers, complex numbers generalizing real numbers, etc. The formal consideration of this may be especially useful for computer proof assistants.
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