Authors: Florentin Smarandache
Paradoxism can be used in any domain. We can PARADOXISM-IZE (also said To S-Deny) any theory by partially validating and partially negating it, or only negating it but in multiple ways. In each case, we put together conflicting ideas in the same theory, whence the paradoxism. This is the first paradoxist SCIENTIFIC MANIFESTO to be used in the literary work, and the sixth paradoxist manifesto in general. By paradoxismizing a <notion> one can get a <pseudo-notion> or <quasi-notion> (for example: paradoxismizing the norm one gets a pseudo-norm in mathematics, or paradoxismizing the associativity we get the quasi-associativity in information fusion), but they are still useful in science. In this paper we introduce the operators of validation and invalidation (the second one is paradoxist in nature) of a proposition, and we extend the operator of paradoxismizing (or Sdenying)) 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.
Comments: 9 pages
[v1] 10 Sep 2010
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