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Pluckings from the Tree of Smarandache Sequences and Functions

By: Charles Ashbacher

... ~996 Collect;io:n. of Problern..s O:n. Srn..a.ra:n.dache N" o"i;io:n.s Charles Ashbacher Decisio:n.rn..a.rk 200 2:n.d A:v-e. SE Cedar Rapids, I... ...Collect;io:n. of Problern..s O:n. Srn..a.ra:n.dache N" o"i;io:n.s Charles Ashbacher Decisio:n.rn..a.rk 200 2:n.d A:v-e. SE Cedar Rapids, IA. 52401... ...pids, IA. 52401 U"SA Erhu.s U":n.i"V"ersity Press Vall 1996 © Cha.rles Ashbacher & Erhu.s U":n.i"V"ersity Press The graph on the first cover bel... ...appear this year) . "Collection of Problems on Smarandache Notions", by Charles Ashbacher Copyright 1996 by Charles Ashbacher and Erhus Universit... ...also by Erhus Cniversity Press, dealt almost exclusively with some "basic" consequences of the Smarandache function. In this one, the universe of dis... ...y from the interest and excitement that can be generated by exploring the consequences of such a problem It is a well-known cliche among writers tha... ... some of these problems. In mathematics, one often does not know what the consequences of a statement are. Cnlike a novel however, there are no compl... ...o combed the Smarandache archives for much of the material explored here. Charles T Le L Seagull Jorge Castillo Ylario Hernandez Sylvester Smith ... ... prime, the Smarandache values would form the same 3 x 3 magic square. A logical extension of this problem places a restriction on the numbers. The...

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Introduction to Neutrosophic Logic

By: Charles Ashbacher

...TROSOPHIC LOGIC American Research Press Rehoboth 2002 1 Charles Ashbacher Introduction to Neutrosophic Logic ... ...://wwwlib.umi.com/bod/ Copyright 2002 by American Research Press and Charles Ashbacher Rehoboth, Box 141 NM 87322, USA. Many books can be... ...er the keyboard. She also did the cover art for the book. June, 2002 Charles Ashbacher Charles Ashbacher Technologies Box 294, 118 Chaffee Dri... ... Propositions Section 2 The Law of the Excluded Middle Section 3 Logical Equivalence Section 4 Well-Formed Formulas or WFFs Sectio... ...sophic Logic Section 1 Definition of Neutrosphic Logic Section 2 Logical Connectives in Neutrosophic Logic Section 3 Algebraic Propertie... ... 1 Classical Logic Section 1 Propositions In classical logic, a logical variable is restricted to the values of true(T) and false(F). The ... ...on 1.1.4: In the expression p → q, p is known as the antecedent and q the consequence. The implication is often described as the if-then connective. ... ...is no middle between the two “extreme” values of true and false. One consequence of this law is the concept of a vacuous proof. What this means ... ...It is interpreted as a statement that if the antecedent is true, then the consequence is also true. The statement is then false if the antecedent is...

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