APAV - Academy of Sciences, Letters, Arts and Technology (E-Journals)
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A model for the solution of the quantum measurement problem
Get PDFThe basic idea of quantum mechanics is that the property of any system can be in a state of superposition of various possibilities (or eigen states). This state of superposition is also known as wave function and it evolves linearly with time in a deterministic way in accordance with the Schrodinger equation. However, when a measurement is carried out on the system to determine the value of that property (say position), the system instantaneously transforms to one of the eigen states and thus we get only a single value as outcome of the measurement. Quantum measurement problem seeks to find the cause and exact mechanism governing this transformation. In an attempt to solve the above problem, in this paper, we will first define what the wave function represents in real world and will identify the root cause behind the stochastic nature of events. Then, we will develop a model to explain the mechanism of collapse of the quantum mechanical wave function in response to a measurement. In the process of development of model, we will explain Schrodinger cat paradox and will show how Born’s rule for probability becomes a natural consequence of measurement process
The distinguishing number and the distinguishing index of co-normal product of two graphs
Get PDFThe distinguishing number (index) () of a graph is the least integer such that has an vertex labeling (edge labeling) with labels that is preserved only by a trivial automorphism. The co-normal product of two graphs and is the graph with vertex set and edge set .In this paper we study the distinguishing number and the distinguishing index of the co-normal product of two graphs. We prove that for every , the -th co-normal power of a connected graph with no false twin vertex and no dominating vertex, has the distinguishing number and the distinguishing index equal two
Esoteric philosophy: Leo Strauss and sociolinguistics
Get PDFLeo Strauss’ controversial theory of esoteric philosophy, as presented in Persecution and the Art of Writing (1952), sparked a fierce debate. Opponents and proponents of the theory utilised a wide range of perspectives to support their arguments. By investigating esoteric philosophy from a sociolinguistic perspective, this paper introduces a novel perspective to the Strauss dispute. In PAW Strauss is mistaken regarding esotericism and its role in philosophy. On one hand it is reasonable to endorse Strauss’ persuasive account on the origins of esoteric writing. The Straussian account provides a plausible sociological background as to why philosophy, per se became an esoteric fliedH. On the other hand it seems as Strauss ascribed undue significance to possible clandestine massages that may be found within works of philosophy because philosophy is mostly already done in an esoteric linguistic space
Towards a contact pedagogy: community theatre experience in a municipality of earthquake zone
Get PDFThe work aims to comprehend, share and “build memory” around an educational practice experienced in a municipality of the earthquake zone of Abruzzo, therefore, in a context of social crisis by means the storytelling of a social and community theatre experience (Bruner, 1956). The focus is more specifically on the nexus between the artistic and pedagogical work and the potentialities of a functional development of the community which spreads out, in a perspective of applicativity. The educationalist, as educational process and relationship professional, can offer his/her specific contribution to such above mentioned processes in attempt to recover and/or strengthen both individual and common well-being
The feminine question as social inequality: a historical overview.
Get PDFIn this work, I have used many sources because this theme is very complex and it is very useful to follow tracks already well used by other authors who have ventured with these themes.The Gender report is a report on equality. No company will ever be expected to be right if it does not foresee includesive actions rather than excludents.The social constructions of the same company will have to contend with a reality of reference that embraces all the universes and respects the personal values. Everything, therefore, aimed at the growth of Society as a non-arithmetic group of People who, with their history and their characteristics, increase the collective share capital
Why is Bayesian confirmation theory rarely practiced?
Get PDFBayesian confirmation theory is a leading theory to decide the confirmation/refutation of a hypothesis based on probability calculus. While it may be much discussed in philosophy of science, is it actually practiced in terms of hypothesis testing by scientists? Since the assignment of some of the probabilities in the theory is open to debate and the risk of making the wrong decision is unknown, many scientists do not use the theory in hypothesis testing. Instead, they use alternative statistical tests that can measure the risk or the reliability in decision making, circumventing some of the theoretical problems in practice. Therefore, the theory is not very popular in hypothesis testing among scientists at present. However, there are some proponents of Bayesian hypothesis testing, and software packages are made available to accelerate utilization by scientists. Time will tell whether Bayesian confirmation theory can become both a leading theory and a widely practiced method. In addition, this theory can be used to model the (degree of) belief of scientists when testing hypotheses
The inclusion and exclusion principle in view of number theory
Get PDFThe inclusion and exclusion (connection and disconnection) principle is mainly known from combinatorics in solving the combinatorial problem of calculating all permutations of a finite set or other combinatorial problems. Finite sets and Venn diagrams are the standard method of teaching this principle. The paper presents an alternative approach to teaching the inclusion and exclusion principle from the number theory point of view, while presenting several selected application tasks and possible principle implementation into the Matlab computing environment
The testosterone paradox: how sex hormones shape the academic mind
Get PDFIn my work I argue that sexual differences in the brain seem to shape the ideological gulf between the respective social groups each side represents. And most significantly, it is the male sex hormone testosterone that is the primary hormone affecting our sexual evolution. Not only does testosterone fuel the passion for reproduction and play a critical role in the length of human lives, it is an integral component to the mechanism of human civilization—its triumphs and its tragedies. In order to understand the forces that drive the life cycles of human cultures and form the engine of history, it is important to look at the most fundamental building blocks of human neuroscience. Our hormones are the impetus for our history. Hormones regulate and control the way the human mind perceives the world and forms social organizations and political order accordingly. Hormones drive waves of social mood, shaping the evolution of our social life, the fluctuations of religious doctrines, cultural crusades, and sexual norms
A conceptual proposal on the undecidability of the distribution law of prime numbers and theoretical consequences
Get PDFWithin the conceptual framework of number theory, we consider prime numbers and the classic still unsolved problem to find a complete law of their distribution. We ask ourselves if such persisting difficulties could be understood as due to theoretical incompatibilities. We consider the problem in the conceptual framework of computational theory. This article is a contribution to the philosophy of mathematics proposing different possible understandings of the supposed theoretical unavailability and indemonstrability of the existence of a law of distribution of prime numbers. Tentatively, we conceptually consider demonstrability as computability, in our case the conceptual availability of an algorithm able to compute the general properties of the presumed primes’ distribution law without computing such distribution. The link between the conceptual availability of a distribution law of primes and decidability is given by considering how to decide if a number is prime without computing. The supposed distribution law should allow for any given prime knowing the next prime without factorial computing. Factorial properties of numbers, such as their property of primality, require their factorisation (or equivalent, e.g., the sieves), i.e., effective computing. However, we have factorisation techniques available, but there are no (non-quantum) known algorithms which can effectively factor arbitrary large integers. Then factorisation is undecidable. We consider the theoretical unavailability of a distribution law for factorial properties, as being prime, equivalent to its non-computability, undecidability. The availability and demonstrability of a hypothetical law of distribution of primes is inconsistent with its undecidability. The perspective is to transform this conjecture into a theorem
Legendre Wavelet expansion of functions and their Approximations
Get PDFIn this paper , nine new Legendre wavelet estimators of functionshaving bounded third and fourth derivatives have been obtained.Theseestimators are new and best approximation in wavelet analysis. Legendrewavelet estimator of a function f of bounded higher order derivatives isbetter and sharper than the estimator of a function f of bounded less orderderivative