... time. Gödel's First Incompleteness Theorem states that every consistent axiomatic logical system, sufficient to express arithmetic, contains true ... ...mpleteness Theorem is even more earth- shattering. It says that no consistent formal logical system can prove its own consistency. The system may be ... ...dox in the "Principia Mathematica", ostensibly a comprehensive and self consistent logical system. It was enough to discredit the whole magnificent... ...cal logician, Kurt Gödel (1906-1978) dealt with the completeness and consistency of logical systems. A passing acquaintance with his two theorems w... ... time. Gödel's First Incompleteness Theorem states that every consistent axiomatic logical system, sufficient to express arithmetic, contains true ... ... exception: when something bad happens to the robot, its owner is shielded from the consequences by some kind of "firewall", or in-built defense. I... ...bly, bacteria and insects exert on Nature far more influence with farther reaching consequences than Man has ever done. Still, the "Law of the Mini... ...ranscendentalist spiritual connection with the inanimate (whatever that may be). In consequence, they refuse to intervene to counter or contain natu... ...he process. Like any psychopath, the USA believes that it should be immune to the consequences of its misconduct abroad. Hence its shock when al-Q...

... obtain structural knowledge. We combine antecedent and consequent sets with logical conjunction, disjunction or negation. For instance, we could i... ... is calm and contented because of her ignorance. She is innocent to know the consequences of a possible HIV/AIDS infection of her sons. 14 On... ...seriously ill. She feels 194 bad about her husband who despite knowing the consequences had infected her. 82 On 07-11-2002 we interviewed a ... ... it is left untreated resulting in death. They fear the social stigma and the consequences if others know they suffer this disease. She says free co... ...ew York. 45. Ingstad, B. (1990) The Cultural Construction of AIDS and its Consequences for Prevention in Botswana. Medical Anthropological Quart...

...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... ... n, where n is the smallest number such that m divides n'. and associated consequences has spawned many new branches of mathematics. A previous volu... ...t occur in n! 0 This function has many uses when dealing with some of the consequences of the Smarandache function Sen), most notably, the number of... ... 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...

... can be considered true physical paradoxes, G Dimensional Theory, a unique, logical and physically congruent system of physics, at significant varia... ...ason for this is that they are multi-disciplinary, having both physical and logical components. To consider these paradoxes, one needs be as much log... ...l prediction of events in physical systems. The recurring patterns indicate logical causality, i.e.: it is assumed there is a rational, causal, expla... ...onsiderations in a scientific value system ―the primary consideration being logical causality in predictive outcome of behavioral phenomena. Yet, reg... ...note however, that this is an apparent physical contradiction, as well as a logical one ―a characteristic absent from the general sorites paradox fo... ... definition of determinist: "..every event act or decision is the inevitable consequence of antecedents independent of the human will." [3] indicates... ...ve definition of 'determinist' as Every event in the subatomic world is the consequence of waves of probability collapsing into particles or waves ―...

...ical principles, any existential model presupposes its building through a logical construction* based on a non-contradictory assertional system*, as ... ...is hypothesis enables us, for example, to explain the phenomenon whereby a logical entity memorizes, paradoxically, more accurately the events from a... ...r than the length of the perpendicular from P to the primary limit. It is logical to designate the XY 9 segment of a maximum length (when P attai... ...ly explain the exceptional performances of some rational entities. It is logical to admit that famous rational entities such as Galileo Galilei, Leo... ...d reincarnation, can be the particular expression of a natural, inherent, logical and necessary process for the evolution of rationality within the ... ...itual reality, and that of permanet stochastic movement would be devoid of consequences, so that the MESER concept would have provided them randomly ... ...ity. The principles governing spiritual reality, far from being devoid of consequences, have the role of determining within the material reality, a ... ...ty is not increased. Nevertheless, the above mentioned scenario bears the consequence that the OX section of the XY area corresponding to the intell... ...the intellectual-affective activity is greater than the OY section – this consequence provides the possibility, for the entity in question, upon a ne...

...ype of destruction that society has inflicted on women’s bodies. 9 The consequence has been that intrauterine life, for both women and men, is no... ...hate deadlock, and they were overcome by desperation, with its most direct consequence: suicide. In this situation, we see this problem acted out in... ...t in this life, on this earth. The important thing is that joy is a direct consequence of love and love implies a transformation. Isn’t it true that... ... ambivalent position towards their mothers, from birth onward. The possible consequences are either desperation, caused by a lack of faith that this ... ...at else are neurosis, psychosis, psychosomatic illness etc. except for the consequences we pay for having had to submit to the demands of the Psycho... ...e as a therapeutic process becomes like a regression, it breaks with every logical process. While you were talking, I was thinking about R. Laing’s ...

...uld not serve to obscure the issues and derail rational debate. As a result, it is logical to introduce the notion of "positive aberration". Certai... ...ific method. The theory must be all-inclusive (anamnetic), consistent, falsifiable, logically compatible, monovalent, and parsimonious. Psychologica... ...ued teachings and her own epiphany. Her grasp of reality - the immediate and later consequences of her actions - was never impaired. It would seem ... ...: a series of potentialities with attached probabilities, the potentials being the logically and physically possible products. What can we learn ... ...stitute a theory and produce falsifiable predictions. A metaphor is also subject to logical and aesthetic rules and to the rigors of the scientific ... ... related to the protagonist and those pertaining to the rest of the universe). d. Logically compatible – It must not violate the laws of logic bot... ... outcomes of appropriately designed experiments. Their explanatory powers are of no consequence. Positivists ascribe meaning only to statements that...

...th limited popular appeal, the Ustashe did not materialize ex nihilo. They were the logical and inescapable conclusion of a long and convoluted hist... ...titute, being defeated in warfare - are all traumatic experiences with far reaching consequences. The members of the collective form a "condensa... ... dissonance, they deny any connection between the acts of the narcissist and their consequences ("His wife abandoned him because she was promiscuou... ...ific method. The theory must be all-inclusive (anamnetic), consistent, falsifiable, logically compatible, monovalent, and parsimonious. Psychologica... ...ued teachings and her own epiphany. Her grasp of reality - the immediate and later consequences of her actions - was never impaired. It would seem ... ...atements cannot be derived with certainty from any negative statement. This formal-logical trait reflects a deep psychological reality with unsettl... ...t. This formal-logical trait reflects a deep psychological reality with unsettling consequences. A positive statement about one's affiliation ("I a... ...ven by Hanna Segal, of the British Psychoanalytical Society. The only statement of consequence during the Melbourne seminar was a statement about t...

... simultaneous conditions: Connection, and Separation. This book explores the logical extrapolation of this, and other Dynamics. My challenge to th... ... The Creation of Robber Baron Culture Pg 280 The Basic Factors Pg 282 The Consequences of Accumulation Pg 283 The Agricultural Revolution Pg 2... ... Chapter One: The Universe 5 Everyone knows this is not true. By using logical deduction and reasoning, the infinite variations and permutati... ...usal Infinite Totality that had no Dimensions. The 3 Dimensions were created logically, naturally, organically, mathematically and mechanically in a... ...usal Infinite Totality that had no Dimensions. The 3 Dimensions were created logically, naturally, organically, mathematically and mechanically in ... ...ural Organic Conditions and Dynamics of the 3 Dimensions of the Universe. By logical reduction; the Condition and Dynamics of Actual Infinity and A... ...ormality becomes a process of increasing deadness, increasing non-change. The consequences of this kind of awareness can be stated very simply: what... ...be described as a state of unawareness. For the past four billion years, the consequence of this kind of awareness in all other species has been ext... ...the cumulative impact of this negative feedback? What is the negative impact-consequence-result of children living in a civilized environment? If t...

...on that they should be meaningful, while any attempt to understand them in logical terms is fruitless: When Banzan was walking through a market he ove... ...57. 27. Reps, p. 41 BUDDHISM 29 All of classical Buddhism is founded on a logical paradox: the teaching that there is no soul, no self, no independen... ...y. In this, Christianity shares with Hinduism a passion for definition and logical precision— even its innermost paradoxes are carefully worded and ma... ... a parallel to the Buddhist doctrine of bod- hisattvas, which in turn is a logical outcome of the claim that the Buddha is all-compassionate, so that ... ...he koan is intended to be nourished in those recesses of the mind where no logical analysis can ever reach. When the mind matures so that it becomes a... ...nce themselves from the public percep- tion of them as a Jewish sect. As a consequence, Christians with no Jewish religious heritage gradually became ... ...emotion, the other a statement of religious intellectualism. The practical consequence is that ac- ceptance of particular intellectually worded doctri... ...s a “person”) whose reality transcends existence beyond comprehension. The consequence is, many Christian theologians argued, that there is not really... ...is initial experience, though he mentions an abundance of such symptoms as consequences of later visions which he discusses in his Journal. 98. I made...

...ant role in fuzzy relation equations. While the t-norm i may be interpreted as logical conjunction, the corresponding operation w i may be interpr... ... as logical conjunction, the corresponding operation w i may be interpreted as logical implication. The following basic properties 31 of w i ... ...practice. For example, in fuzzy reasoning [70], when the inference rule and the consequences are known, a problem to determine antecedents to be use... ...sible solutions according to some levels of plausibility is out of the scope of logical reasoning, strictly speaking. However one may for instance... ... 134 there are manifestations which are neither certain nor impossible and consequences of the presence of a given disorder d which are only po... ...n power of the model, we have to refine the non–fuzzy model in such a way that consequences (resp. manifestations) previously expressed as certain ... ...p. certainly absent) remain classified in the same way and where some possible consequences (resp. possibly present manifestations) are now allowed... ...ication, negation and a quantifier for generalization are used. As usual, those logical operators are characterized by the way they operate on the t... ... B ∧ t B ⊆ t A. (16) Introducing also the notation |= for (generalized) logical validity as in [28, 29] by |= A ≡ t A . ( 1 7 ) W...

...an also see how one way of thinking overwhelms the other and creates dire consequences. I do think, however, that when Ulysses is meditating on wh... ...help a woman free herself from her ties with her mother and not suffer the consequences. One must risk one’s life a thousand times and one must also... ...into consideration. A narcissistic wound of traumatic origin is often the consequence of a trauma to the fetal I, or the infant I being deprived of... ...into a second of the present, when that second is embraced with all of its consequences, good or bad that they might be. The present is always alte... ...If we extinguish desire, pain will disappear. For the Bible, pain is the consequence of the wrong committed in Eden and , even when the Messiah wi... ...e that what the other is thinking and feeling can be just as true. Is this logical? And so it is impossible to arrive at a solution to the conflict, ...

... related to Untouchability 114 3.3 Some facts about Untouchability and its Consequences even after 57 years of Independence 334 Chapter F... ...in order to understand the multi-dimensional facets of untouchability and its consequences, we have given relevant excerpts from the translation of ... ...Smarandache [55-59]. 23 DEFINITION 1.4.1: In the neutrosophic logic every logical variable x is described by an ordered triple x = (T, I, F) wh... ...sistent logic, which means contradictory sources of information about a same logical variable, proposition or event one has T + I + F > 1. Thu... ...temporary casteist atrocities to analyze the evils of untouchability and its consequences using Fuzzy Cognitive Maps (FCMs) and Neutrosophic Cognit... ...everal cases, those who dare to love across caste lines have to face the dire consequence of death. R 10 – Varnashrama Dharma It was the earl... ... of the Brahmin society must only be Chandalas. So, in this 150 situation, logically you cannot be faulted since you have a place and plenty of e... ...eech of Periyar, 19-12-1973] 3.3 Some facts about Untouchability and its Consequences even after 57 years of Independence Here we give some ... ... Nadu 1920-1940, Koodal Pubishers, Madurai, (1980). 375 34. Periyar Dasan, Logical Analysis of Atheistic Principles of Periyar, unpublished Ph.D ...

...se to the reader as the proof requires vitally only the definitions and a logical use of them. A recent paper [27] which studies strictly wild al... ...utative ring II. Proof: Left for the reader to verify as it is an easy consequence of the definition. THEOREM 4.2.2: Let R be a ring. If R is ...

... is null and void. Any actions which are intended to terminate it and to annul its consequences should be legally and morally permissible. The sam... ...atements cannot be derived with certainty from any negative statement. This formal-logical trait reflects a deep psychological reality with unsettl... ...t. This formal-logical trait reflects a deep psychological reality with unsettling consequences. A positive statement about one's affiliation ("I ... ...nd self-aggrandizement, and the reification and embodiment of said subversion. The logical outcome is to call for the overthrow of all political sy... ...ute them. They dedicate all their attention to the immediate and ignore the future consequences of their actions. In other words, their attention a... ...g and, therefore, regards himself as omnipotent, omniscient and protected from the consequences of his own acts (immune) – the personality disorder... ...: a series of potentialities with attached probabilities, the potentials being the logically and physically possible products. What can we learn a... ...stitute a theory and produce falsifiable predictions. A metaphor is also subject to logical and aesthetic rules and to the rigors of the scientific ... ...its inclusion in the definer) is the very definition of a tautology, the gravest of logical fallacies. On the other hand: if such an external sour...

...standing/interpretation which might overlap. 2.3 Definition of Neutrosophic Logical Connectives: The connectives (rules of inference, or operator... ...oblem to solve; here we present the easiest ones: One notes the neutrosophic logical values of the propositions A 1 and A 2 by NL(A 1 ) = ( T 1... ...T 1 , I 1 , F 1 ) and NL(A 2 ) = ( T 2 , I 2 , F 2 ). For all neutrosophic logical values below: if, after calculations, one obtains numbers < 0 ... ...cgi?c=connection&f=0&t=255. [27] Le, Charles T. Le, Software for neutrosophic logical operators, Networking by Industry, Inc. Online, http://www.in... ...nt events, then (3) A4: (countable additivity) If are disjoint events (4) 2.2 Consequences of axioms and bayesian inference From these axioms, all o... ...ery important to note that these rules apply only on irreductible propositions (logical atoms) . A proposition is said to be irreductible (or equivale... ... 2000 MSC: 03E99, 03-99, 03B99, 60A99, 62A01, 62-99. Introduction: As a consequence to [1], [3], [4-7] we display the below unusual extension... ... effect to each other. 5. Representing the <Neut-A> <Neut-A> comes as the consequence of the contradiction between <A> and <Anti-A>, therefore ... ...ny contexts as we can, in order to be less-incomplete and discuss some possible consequences. 1. Introduction Upset because none of the logics I knew ...

... atom (or group of atoms) X which has last one or more electrons (and as a consequence carries a negative charge, called anion, or has gained one or m... ...gative charge, called anion, or has gained one or more electrons (and as a consequence carries a positive charge, called cation). Similarly to isotope... ... continuum that is not only curved, but also non-differentiable, and, as a consequence, fractal. The equation of geodesics in such a space-time can be... ... E-mail: czarlosromanov@yahoo.com; castro@ctsps.cau.edu We investigate the consequences of the Mach’s principle of inertia within the context of the D... ...mal length uncertainty relations [11] was furnished in [45]. The dynamical consequences of the minimal-length in Newtonian dynamics have been recently... ...a poplyvectorX given in eq.-(2). This work thus paved the way for the next logical step, that is, to consider other multivector components of X in a u...

...trongly resemble neural networks, and they have powerful and far-reaching consequences as a mathematical tool for modeling complex systems. Prof. Ba... ... this stimulus input vector with FCM matrix, K.C. Lee et al [65] obtain a consequence vector as follows: (0, 0, 0, 0, 0.3, 0, – 0.3, 0.5) × FCM ma... ...3, 0, – 0.3, 0.5) × FCM matrix = (– 0.5, 0, 0.24, 0, – 0.08, 0, 0). The consequence vector may be interpreted such that changes in those three fact... ... vector can be organized into (0, 0, 0, – 0.1, 0.3, 0, – 0.3, .2). Then a consequence vector may be obtained as (– 0.15, .02, 0, – 0.24, 0, –0.12, 0... ...∩ M j ) ⊂ ( ~ Q j ∩ M j ). Here “⊂” stands for fuzzy set inclusion (logical implication). For brevity, fuzzy causal relationship is abbreviate... ...ity, fuzzy causal relationship is abbreviated as FCR in the following. Logical implication has an antecedent (or premise) and a consequent (or con... ...t (or premise) and a consequent (or conclusion). A typical example of the logical implication is “If A, then B”. In the logical implication, there a... ...quence: negation of A (or ¬ A). The FCR is more complicated than the logical implication. 1. Modus tollens does not hold in the FCR. “When mi... ...ble for relations between several concepts are indeterminate). 2. In a logical implication “If A, Then B”, we cannot draw inference in case when ...

...y captured by econometric models. These either lack predictive powers or lapse into logical fallacies, such as the "omitted variable bias" or "rever... ... behaviour. It must adequately cope with irrationality and cognitive deficits. d. Logical compatibility – It must not violate the laws of its inte... ...s new position and will be interpreted as immunity, conferred from above, from the consequences of illegal activities. The very allocation of opt... ...ce resources in order to attain their utility functions, to secure the outcomes and consequences (the value, the preference, that the player attache... ...that at least one of them is forced to alter at least one vector (Strategy). The Consequence to the agent is the value of a function that assigns... ... is the value of a function that assigns real numbers to each of the outcomes. The consequence represents a list of outcomes, prioritized, ranked. ... ...to cooperate and to cooperate in the formation of an outside agency. There is no logical or mathematical reason to exclude the latter possibility... ...ose related to the subject and those pertaining to the rest of the universe). d. Logically compatible – It must not violate the laws of logic bot... ...t of seeing a pattern emerging out of a big body of data. The insights must be the logical conclusion of the logic, the language and of the develop...

...essional testimony this summer: "While bubbles that burst are scarcely benign, the consequences need not be catastrophic for the economy ... (The D... ...d thus shook the trust in the entire financial system; they amplified the negative consequences of unbridled speculation (that is not related to re... ...s new position and will be interpreted as immunity, conferred from above, from the consequences of illegal activities. The very allocation of optio... ...e resources in order to attain their utility functions, to secure the outcomes and consequences (the value, the preference, that the player attache... ...nt that at least one of them is forced to alter at least one vector (Strategy). The Consequence to the agent is the value of a function that assigns... ..., to cooperate and to cooperate in the formation of an outside agency. There is no logical or mathematical reason to exclude the latter possibility...

...t not only find a meaDS for rendering iDformation unintelligible, he must U&e a procesa which is logical and reprocluo"ble at the receiving end. All o... ... especially as we reduce the amount of useful plain language available to hostile -SIGINT, it is logical to assume that that hostile effort will be dr... ... __ 19 EQUIPMENT CLASSIFICATION • •••'. • • • __ '" ___ ___ 21 PUBLIC CRYPTOGRAPHY-SOME CAUSES & CONSEQUENCES • __ • • •• _••• _ 27 PKC . • • ._._._._... ...y removal and safe storqe when the equipment is DOt attended or under direct guard. As a natural consequence, it was an cay step to zeroiz.e equipmcnt... ...AL ~/.. , ---" ---., ./"..•- ...--., ./' --- .~./ EO 1. 4. (c) PUBLIC CRYPTOGRAPHY-SOME CAUSES a CONSEQUENCES (U) This strange term remains imperfectl... ...d bitten the bullet, decidinl to seek a JCIlCB: COMSEC solution. This was a decision of enormous consequence for IJS. The notion of injectinl Communic... ...de to opponents on tbe security of their own systems. i / / ~be event witb tbe most far-reaching consequences which stemmed/in p8n from our bavina gra...

...till, it was a revolution whose magnitude is difficult to gauge and whose consequences defy imagination. It carries an equally momentous price tag -... ...hip and on the economics of publishing? A. The DMCA has several harmful consequences for scholarship. First, it prevents some scientists who happ... ...d re-invent themselves. Everyone else watches in amazement and dismay the consequences of this grand folly: innovation is thwarted, consumers penali... ...e smokescreen: identities can rarely be established and evading the legal consequences of one's actions or omissions is easy. As the exposure of the... ...nd applications to talk to each other. What matters are accessibility and logical and user-friendly work-flows. Enter Enfish. In its own words, i... ... is a prime example of a collective brain in action. 2. The Intranet - a Logical Extension of the Collective Computer LANs (Local Area Networks) ar... ...d inaccessible. Moreover, the Internet manipulates strings of symbols, not logical or semantic propositions. In other words, the Net compares values ... ...ed to the subject and those pertaining to the rest of the universe). d. Logically compatible – It must not violate the laws of logic both internall... ...ng a pattern emerging out of a big body of data. The insights must be the logical conclusion of the logic, the language and of the development of th...