A so called “weak value” of an observable in quantum mechanics (QM) may be obtained in a weak measurement + post-selection procedure on the QM system under study. Applied to number operators, it has been invoked in revisiting some QM paradoxes (e.g., the so called Three-Box Paradox and Hardy’s Paradox). This requires the weak value to be interpreted as a bona fide property of the system considered, a par with entities like operator mean values and eigenvalues. I question such an (...) interpretation; it has no support in the basic axioms of quantum mechanics and it leads to unreasonable results in concrete situations. (shrink)

Ben-Israel and Vaidman have raised objections to my arguments that there are cases where a quantum mechanical weak value can be said not to represent the system to which it pertains. They are correct in pointing out that some of my conclusions were too general. However, for weak values of projection operators my conclusions still stand.

Quantum mechanical weak values of projection operators have been used to answer which-way questions, e.g. to trace which arms in a multiple Mach–Zehnder setup a particle may have traversed from a given initial to a prescribed final state. I show that this procedure might lead to logical inconsistencies in the sense that different methods used to answer composite questions, like “Has the particle traversed the way X or the way Y?”, may result in different answers depending on which methods are (...) used to find the answer. I illustrate the problem by considering some examples: the “quantum pigeonhole” framework of Aharonov et al., the three-box problem, and Hardy’s paradox. To prepare the ground for my main conclusion on the incompatibility in certain cases of weak values and logic, I study the corresponding situation for strong/projective measurements. In this case, no logical inconsistencies occur provided one is always careful in specifying exactly to which ensemble or sample space one refers. My results cast doubts on the utility of quantum weak values in treating cases like the examples mentioned. (shrink)

Shoemaker (1996) presenteda prioriarguments against the possibility of ‘self‐blindness’, or the inability of someone, otherwise intelligent and possessed of mental concepts, to introspect any of her concurrent attitude states. Ironically enough, this seems to be a position that Gopnik (1993) and Carruthers (2006, 2008, 2009a,b) have proposed as not only possible, but as the actual human condition generally! According to this ‘Objectivist’ view, supposed introspection of one's attitudes is not ‘direct’, but an ‘inference’ of precisely the sort we make about (...) the attitudes of others, an inference that has the advantage in our own case ofonlyour own sensory data and memories, our behavior, and of the context we are in; i.e. we are all substantially self‐ blind. After sorting out a number of methodological and verbal issues, I argue, first, that thea prioriarguments against Objectivism don't succeed, and that Gopnik and Carruthers are right to regard the issue as an empirical one. On the other hand, I think they seriously underestimate the difficulty of establishing Objectivism. It is unlikely there is an inferential procedure from the data of pure sensation, behavior and context to the relevant self‐attributions that would be as spectacularly reliable as people manifestly seem to be. Moreover, there is a simpler model: the mind very likely consists of a panoply of sub‐routines some of whose outputs are ‘tagged’ for their having been so processed, rather in the way that software ‘documents’ are on standard computers. Introspection plausibly consists in a person's simply attending to distinctive constellations of these tags, even though they may lack phenomenal feels. This draws attention to an important independent fact: that much of phenomenology (or ‘what it's like’ to be in a certain state) may be constituted by facts that are not phenomenal. (shrink)

The operational definition of a weak value for a quantum mechanical system involves the limit of the weak measurement strength tending to zero. I study how this limit compares to the situation for the undisturbed system. Under certain conditions, which I investigate, this limit is discontinuous in the sense that it does not merge smoothly to the Hilbert space description of the undisturbed system. Hence, in these discontinuous cases, the weak value does not represent the undisturbed system. As a result, (...) conclusions drawn from such weak values regarding the properties of the studied system cannot be upheld. Examples are given. (shrink)

Live donor kidney transplantation is the best treatment option for most patients with late-stage chronic kidney disease; however, the rate of living kidney donation has declined in the United States. A consensus conference was held June 5-6, 2014 to identify best practices and knowledge gaps pertaining to live donor kidney transplantation and living kidney donation. Transplant professionals, patients, and other key stakeholders discussed processes for educating transplant candidates and potential living donors about living kidney donation; efficiencies in the living donor (...) evaluation process; disparities in living donation; and financial and systemic barriers to living donation. We summarize the consensus recommendations for best practices in these educational and clinical domains, future research priorities, and possible public policy initiatives to remove barriers to living kidney donation. (shrink)

The Casimir force between two neutral metallic plates is often considered conclusive evidence for the reality of electromagnetic zero-point fluctuations in 'empty space' (i.e. in absence of any boundaries). However, it is not well known that the Casimir force can be derived from many different points of view. The purpose of this note is to supply a conceptually oriented introduction to a representative set of these different interpretations. The different accounts suggest that the Casimir effect reveals nothing conclusive about the (...) nature of the vacuum. (shrink)

The purpose of this work is to analyse the cognitive process of the domain theories in terms of the measurement theory to develop a computational machine learning approach for implementing it. As a result, the relational data mining approach, the authors proposed in the preceding books, was improved. We present the approach as an implementation of the cognitive process as the measurement theory perceived. We analyse the cognitive process in the first part of the paper and present the theory and (...) method of the logically most powerful empirical theory discovery in the second. The theory is based on the notion of law-like rules, which conform to all the properties of laws of nature, namely generality, simplicity, maximum refutability and minimum number of parameters. This notion is defined for deterministic and probabilistic cases. Based on the method, the discovery system is developed. The system was successfully applied to many practical tasks. (shrink)

A physical basis for the minimal time-energy uncertainty relation is formulated from basic high-energy hadronic properties such as the resonance mass spectrum, the form factor behavior, and the peculiarities of Feynman's parton picture. It is shown that the covariant oscillator formalism combines covariantly this time-energy uncertainty relation with Heisenberg's space-momentum uncertainty relation. A pictorial method is developed to describe the spacetime distribution of the localized probability density.

Purpose. The research is aimed at understanding the philosophical and journalistic heritage of M. Scheler during 1914-1919. "The philosophy of war" is regarded as the middle link between the phenomenological and anthropological stages of its philosophical evolution. The theoretical and methodological basis of the study is the philosophical legacy of Max Scheler, as well as the work of domestic and Western researchers devoted to this issue. Problems of Weltkriegsphilosophie become comprehensible based on the historical, logical and comparative principles of historical (...) and philosophical analysis, which allowed to theoretically reconstruct the cultural and historical context, philosophical sources and ideological intentions of the German philosopher. Originality. For the first time in domestic historical and philosophical thought, it proved that the works by Max Scheler of the First World War played an outstanding role in the formation of philosophical anthropology as a separate philosophical trend. Conclusions. The basis of the Weltkriegsphilosophie by Max Scheler is the philosophical comprehension of the war in which the thinker tries to see the high sacral meaning, where the sacrifices that the nation brings to the altar of victory are not in vain: the nation is rallying this sacrifice, its readiness for it. According to Scheler, war is the most effective means of forming the so-called "love communities", to which he refers combat brotherhood, family and nation as a "collective personality", which recognizes itself through war. The philosopher is disappointed to some part with militaristic enthusiasm in his later military journalistic works and calls for a spiritual and moral renewal of Europe, fed from Christian roots. At the heart of this renewal should be the principle of personal solidarity, based on the Christian idea of love. However, Catholic universalism is an insufficient means for the formation of a "love community" and a new man who is co-creator of God that constitutes the main core of the philosophical anthropology of Max Scheler, which emerges in the 20s of the twentieth century. Based on this, the article affirms the existence in Sheler’s works of an intermediate stage between his phenomenology and philosophical anthropology – Weltkriegsphilosophie. (shrink)

Plant protection problems are simulated by a system of ordinary differential equations with given initial conditions. The sensitivity and resistance of pathogen subpopulations to fungicide mixtures, fungicide weathering, plant growth, etc. are taken into consideration. The system of equations is solved numerically for each set of initial conditions and parameters of the disease and fungicide applications. Optimization algorithms were investigated and a computer program was developed for optimization of these solutions. 14 typical cases of the disease were simulated and optimized (...) in order to determine optimal fungicide treatments. The optimized strategy for fungicide application differs considerably from the commonly used method and seems to be an important new principle in plant protection. The approach developed in this study may be useful for a wide spectrum of purposes in the simulation of leaf diseases. It may also help the biologist to decrease or pinpoint experimental work and analyze its results and is perspective for plant disease control. (shrink)