[6] viXra:1004.0113 [pdf] submitted on 21 Apr 2010
Authors: Florentin Smarandache
Comments: 802 pages.
The fourth volume, in my book series of "Collected Papers", includes 100 published and
unpublished articles, notes, (preliminary) drafts containing just ideas to be further investigated,
scientific souvenirs, scientific blogs, project proposals, small experiments, solved and unsolved
problems and conjectures, updated or alternative versions of previous papers, short or long
humanistic essays, letters to the editors - all collected in the previous three decades
(1980-2010) - but most of them are from the last decade (2000-2010), some of them being lost and found, yet
others are extended, diversified, improved versions.
Category: General Science and Philosophy
[5] viXra:1004.0077 [pdf] submitted on 9 Mar 2010
Authors: V. Christianto, Florentin Smarandache
Comments: 17 pages
In this article, we will shortly review a few old thoughts and recent thoughts on the
relation between Mathematics and the Natural Sciences. Of course, the classic references
to this open problem will include Wigner�s paper (1964); a more recent review article is
Darvas (2008). But it appears that this issue is partly on the domain of natural philosophy
and also philosophy of inquiry. Therefore we will begin with a review on some known
thoughts of Kant, Bacon, Popper, etc.
Category: General Science and Philosophy
[4] viXra:1004.0065 [pdf] replaced on 17 Nov 2010
Authors: Florentin Smarandache
Comments: 4 pages
In this paper we introduce the operators of validation and invalidation of a proposition,
and we extend the operator of S-denying a proposition, or an axiomatic system, from
the geometric space to respectively any theory in any domain of knowledge, and show
six examples in geometry, in mathematical analysis, and in topology.
Category: General Science and Philosophy
[3] viXra:1004.0024 [pdf] submitted on 3 Apr 2010
Authors: Florentin Smarandache
Comments: 3 pages
Neutrosophic Logic (NL) is a Theory of Everything in logics, since it is the most general
so far. In the Neutrosophic Propositional Calculus a neutrosophic proposition has the
truth value (T, I, F), where T is the degree of truth, I is the degree of indeterminacy (or
neutral, i.e. neither truth nor falsehood), and F is the degree of falsehood, where T, I, F
standard or non-standard subsets of the non-standard unit interval ]-0, 1+[. In addition,
these values may vary over time, space, hidden parameters, etc.
Therefore, NL is a triple-infinite logic but, by splitting the Indeterminacy, we prove in
this article that NL is a n-infinite logic, with n = 1, 2, 3, 4, 5, 6, ... .
Also, we present a total order on Neutrosophic Logic.
Category: General Science and Philosophy
[2] viXra:1004.0023 [pdf] replaced on 7 Apr 2010
Authors: Florentin Smarandache
Comments: 21 pages
The following blogs on applications of neutrosophics and multispace in sciences
include meditations / reflections on science, comments, hypotheses, proposals,
comparisons of ideas, possible projects, extensions or deviations or alternatives to
classical knowledge, etc. selected from e-mails, letters, drafts, conversations, impressions,
my diary, etc.
Category: General Science and Philosophy
[1] viXra:1004.0019 [pdf] submitted on 8 Mar 2010
Authors: Liu Feng, Florentin Smarandache
Comments: 6 pages
To deal with tough issues in knowledge management, the paper reexamines knowledge structure
and has proposed a novel knowledge communication model based on the oriental cultural foundation.
Knowledge discovery is not a simple addition or accumulation of information, but needs a feasible structural
description. As an oriental approach, the paper constructs the structure on the bases of unity of opposites and
their neutralities (as in neutrosophy; neutralities are the included middle of two opposites), which stresses
the individualized self knowledge pattern or self knowledge structure. It signifies the dynamics in
knowledge management - the principle of attraction between opposite natures and the neutralities in
between them. It implies an identity in the opposites which serves as the impartial knowledge (since the
opposites tend towards their neutralities), the completeness of knowledge, which is defined in the paper as
imaginary part of knowledge.
Category: General Science and Philosophy