The Weirdness Theorem and the Origin of Quantum Paradoxes

We argue that there is a simple, unique, reason for all quantum paradoxes, and that such a reason is not uniquely related to quantum theory. It is rather a mathematical question that arises at the intersection of logic, probability, and computation. We give our ‘weirdness theorem’ that characterises the conditions under which the weirdness will show up. It shows that whenever logic has bounds due to the algorithmic nature of its tasks, then weirdness arises in the special form of negative probabilities or non-classical evaluation functionals. Weirdness is not logical inconsistency, however. It is only the expression of the clash between an unbounded and a bounded view of computation in logic. We discuss the implication of these results for quantum mechanics, arguing in particular that its interpretation should ultimately be computational rather than exclusively physical. We develop in addition a probabilistic theory in the real numbers that exhibits the phenomenon of entanglement, thus concretely showing that the latter is not specific to quantum mechanics.

Validity Of The 1918 Unification of Montenegro And Serbia - An International Legal Theory Approach

In this paper, the author will critically reexamine the 1918 unification of Montenegro and Serbia, challenging the views which claim that it had no legal basis in the then-valid (international) legal order. The author disregards these claims made by the critics of the unification by exposing their methodological and logical inconsistency. In doing so, by citing original documents the author attempts to actually recreate the adjudicating process by which this question had been solved within the realm of the international law and, in doing so, he brings the reader’s attention to certain theoretically interesting aspects of the international law, such as its overall nature, its adjudicating process and its adjudicating bodies (institutions), which are of utmost theoretical importance.

Analysis of changes in regulatory framework of the russian federation on examination of relationship between diseases and profession for 40 years

The evolution of the national regulatory framework in the field of examination of connection between the disease and the profession for the period from the 80s of the twentieth century to the present is analyzed. Materials and methods. The regulatory framework of domestic professional pathology regarding examination of relationship between diseases and profession is evaluated Results. It was noted that for the specified period, in the normative acts the organizational issues of the examination of the connection between the disease and the profession did not have a satisfactory solution. A feature of most regulatory documents in the field under consideration, issued recently, is a certain logical inconsistency. Conclusions. To radically improve the current situation, it is necessary to immediately adopt for practical application the mandatory criteria, which prove the occupational origin of health disorders in workers.

Simulation analysis on the effectiveness of missile defense

Literatures on the influences of missile defense (MD) on the existing nuclear deterrence are divided into negative and positive perspectives. However, both sides seem to make contradictory arguments. Skeptics argue that it is not feasible that MD influences deterrence stability but that it causes security dilemma and arms race, while proponents suggest that MD does not have to be perfect to reinforce deterrence stability but that it does not cause security dilemma and arms race. To fix this logical inconsistency, we identify an additional variable which is crucial in understanding the security dilemma mechanism in addition to Jervis’s (1978) two variables. By adding another variable, a minimum MD effectiveness level required for deterrence success suggested by Quackenbush (2006), to Jervis’s framework, we develop three hypotheses, two of which are novel on MD and its potential influences on deterrence stability and arms race. We then introduce a probabilistic model of the MD effectiveness by modifying Wilkening’s (2000) and conduct simulation analysis to see if MD is more likely to incur security dilemma and arms race. Our simulation results show that MD influence is likely to be different depending on a potential challenger’s national capability. Against a great power challenger, MD is least likely to meet the minimum MD effectiveness level required for deterrence success, so that the challenger is more likely to respond flexibly to the defender’s buildup of MD. Against a newly nuclear-armed state, however, a defender’s MD is more likely to satisfy the minimum MD effectiveness level, so that the defender is highly likely to respond flexibly to the potential challenger’s reinforcement effort of its nuclear force. In either case, our simulation results indicate that arms races concerning MD among them are not likely to occur.

The logical inconsistency in making sense of an ineffable God of Islam

With the advent of classical logic we are continuing to observe an adherence to the laws of logic. Moreover, the system of classical logic exhibits a prominent role within analytic philosophy. Given that the laws of logic have persistently endured in actively defining classical logic and its preceding system of logic, it begs the question as to whether it actually proves to be consistent with Islam. To consider this inquiry in a broader manner; it would be an investigation into the consistency between Islam and the logic which has been the predominant driving force of analytic philosophy. Despite the well documented engagement and novel contributions made in the field of logic by Arab and Islamic theologians/logicians, I think this question deserves examination not just in terms of classical logic but also from perspectives which go beyond classical logic, namely, non-classical logic. Doing so, would I believe, retain this inquiry within the purview of analytic philosophy despite the reference to non-classical logic. To be more specific, this question would be directed toward the Islamic theologian who espouses the system of classical logic in attempting to make sense of an absolute ineffable God of Islam. The inquiry would seek to determine if classical logic is consistent (amenable) in making sense of an absolute ineffable God of Islam. This would principally involve an analysis which determines whether the metaphysical assumptions of the laws of logic (more specifically the law of non-contradiction) are consistent in making sense of an absolute ineffable God of Islam. I shall argue that it is inconsistent. I shall establish my position on this matter by demonstrating why classical logic is inconsistent (not amenable) with an absolute ineffable God of Islam. Although, I am principally concerned with classical logic, my argument is as applicable to all earlier systems of logic as much as it is to classical logic. This is on the basis that both systems of logic, namely, all preceding systems and classical logic, consider the laws of logic as defining features.

The Quantum Measurement Problem

We use the Wigner’s friend story to characterize the quantum measurement problem. On the standard formulation of quantum mechanics, whether a physical system is measured determines which of the theory's two dynamical laws obtains. For this reason, the logical consistency of the theory depends on one specifying strictly disjoint conditions for when when each law obtains, which means that one needs to say precisely what constitutes a measurement. But since the term measurement occurs in the standard theory as an undefined primitive term, the theory is at best incomplete. We see precisely how this conceptual incompleteness threatens the logical inconsistency of the theory and why, on even the most charitable reading, it entails that the theory is empirical incomplete. We end by considering why its empirically incompleteness is extremely difficult to test.

Physics of Discrete Impurities under the Framework of Device Simulations for Nanostructure Devices

Localized impurities doped in the semiconductor substrate of nanostructure devices play anessential role in understanding and resolving transport and variability issues in device characteristics.Modeling discrete impurities under the framework of device simulations is, therefore, an urgent needfor reliable prediction of device performance via device simulations. In the present paper, we discussthe details of the physics associated with localized impurities in nanostructure devices, which areinherent, yet nontrivial, to any device simulation schemes: The physical interpretation and the roleof electrostatic Coulomb potential in device simulations are clarified. We then show that a naiveintroduction of localized impurities into the Poisson equation leads to a logical inconsistency withinthe framework of the drift-diffusion simulations. We describe a systematic methodology for how totreat the Coulomb potential consistently with both the Poisson and current-continuity (transport)equations. The methodology is extended to the case of nanostructure devices so that the effects of theinterface between different materials are taken into account.

2. Federalism

Federalism, the division of power between state and central governments, was the most novel doctrine to emerge from the Constitutional Convention. ‘Federalism’ explains how it embraced a contradiction, imperium in imperio, a sovereignty within a sovereignty. This logical inconsistency—classical theory assumed that governmental sovereignty was indivisible—could be explained only by another innovation, popular sovereignty, which vested ultimate power in the people. Federalism has proven to be a highly malleable scheme for accommodating the demands of a diverse society and a dynamic economy. What began in 1787 as a partnership of equal governments became a powerful national government two centuries later, with widespread authority to safeguard (or threaten) liberty for its citizens.