
401Circularities In The Contemporary Philosophical Accounts Of The Applicability Of Mathematics In The Physical UniverseRevista de Filosofie 61 (5): 517542. 2015.Contemporary philosophical accounts of the applicability of mathematics in physical sciences and the empirical world are based on formalized relations between the mathematical structures and the physical systems they are supposed to represent within the models. Such relations were constructed both to ensure an adequate representation and to allow a justification of the validity of the mathematical models as means of scientific inference. This article puts in evidence the various circularities (l…Read more

243Is the secrecy of the parametric configuration of slot machines rationally justified? The exposure of the mathematical facts of games of chance as an ethical obligationJournal of Gambling Issues 29 (DOI: 10.4309/jgi.2014.29.6): 123. 2014.Slot machines gained a high popularity despite a specific element that could limit their appeal: nontransparency with respect to mathematical parameters. The PAR sheets, exposing the parameters of the design of slot machines and probabilities associated with the winning combinations are kept secret by game producers, and the lack of data regarding the configuration of a machine prevents people from computing probabilities and other mathematical indicators. In this article, I argue that there is…Read more

209The Mathematical Facts Of Games Of Chance Between Exposure, Teaching, And Contribution To Cognitive Therapies: Principles Of An Optimal Mathematical Intervention For Responsible GamblingRomanian Journal of Experimental Applied Psychology 4 (3): 2540. 2013.On the question of whether gambling behavior can be changed as result of teaching gamblers the mathematics of gambling, past studies have yielded contradictory results, and a clear conclusion has not yet been drawn. In this paper, I bring some criticisms to the empirical studies that tended to answer no to this hypothesis, regarding the sampling and laboratory testing, and I argue that an optimal mathematical scholastic intervention with the objective of preventing problem gambling is possible, …Read more

193Mathematician's call for interdisciplinary research effortInternational Gambling Studies 13 (3): 430433. 2013.The article addresses the necessity of increasing the role of mathematics in the psychological intervention in problem gambling, including cognitive therapies. It also calls for interdisciplinary research with the direct contribution of mathematics. The current contributions and limitations of the role of mathematics are analysed with an eye toward the professional profiles of the researchers. An enhanced collaboration between these two disciplines is suggested and predicted.

188Over the past two decades, gamblers have begun taking mathematics into account more seriously than ever before. While probability theory is the only rigorous theory modeling the uncertainty, even though in idealized conditions, numerical probabilities are viewed not only as mere mathematical information, but also as a decisionmaking criterion, especially in gambling. This book presents the mathematics underlying the major games of chance and provides a precise account of the odds associated wit…Read more

153Lucrarea tratează unul dintre “misterele” filosofiei analitice şi ale raţionalităţii însăşi, anume aplicabilitatea matematicii în ştiinţe şi în investigarea matematică a realităţii înconjurătoare, a cărei filosofie este dezvoltată în jurul sintagmei – de acum paradigmatice – ‘eficacitatea iraţională a matematicii’, aparţinând fizicianului Eugene Wigner, problemă filosofică etichetată în literatură drept “puzzleul lui Wigner”. Odată intraţi în profunzimea acestei probleme, investigaţia nu trebui…Read more

144The Current Epistemic Status of the Indispensability Arguments in the Philosophy of ScienceAnalele Universitatii Din Craiova 36 (2): 108132. 2016.The predisposition of the Indispensability Argument to objections, rephrasing and versions associated with the various views in philosophy of mathematics grants it a special status of a “blueprint” type rather than a debatable theme in the philosophy of science. From this point of view, it follows that the Argument has more an epistemic character than ontological.

127Rolul constitutiv al matematicii in stiinta structuralaInfarom. 2017.Problemele filosofie sensibile pe care le pune aplicabilitatea matematicii în ştiinţe şi viaţa de zi cu zi au conturat, pe un fond interdisciplinar, o nouă “ramură” a filosofiei ştiinţei, anume filosofia aplicabilităţii matematicii. Aplicarea cu succes a matematicii dea lungul istoriei ştiinţei necesită reprezentare, încadrare, explicaţie, dar şi o justificare de ordin metateoretic a aplicabilităţii. Între rolurile matematicii în practica ştiinţifică, rolul constitutiv teoriilor ştiinţifice est…Read more

110The Mathematics of Lottery: Odds, Combinations, SystemsInfarom. 2009.This work is a complete mathematical guide to lottery games, covering all of the problems related to probability, combinatorics, and all parameters describing the lottery matrices, as well as the various playing systems. The mathematics sections describe the mathematical model of the lottery, which is in fact the essence of the lotto game. The applications of this model provide players with all the mathematical data regarding the parameters attached to the gaming events and personal playing syst…Read more

106Mathematical models of games of chance: Epistemological taxonomy and potential in problemgambling researchUNLV Gaming Research and Review Journal 19 (1): 1730. 2015.Games of chance are developed in their physical consumerready form on the basis of mathematical models, which stand as the premises of their existence and represent their physical processes. There is a prevalence of statistical and probabilistic models in the interest of all parties involved in the study of gambling – researchers, game producers and operators, and players – while functional models are of interest more to mathinclined players than problemgambling researchers. In this paper I p…Read more

77This book presents not only the mathematical concept of probability, but also its philosophical aspects, the relativity of probability and its applications and even the psychology of probability. All explanations are made in a comprehensible manner and are supported with suggestive examples from nature and daily life, and even with challenging math paradoxes.

73The "Unreasonable" Effectiveness of Mathematics: The Foundational Approach of the Theoretic AlternativesRevista de Filosofie 62 (1): 5871. 2015.The attempts of theoretically solving the famous puzzledictum of physicist Eugene Wigner regarding the “unreasonable” effectiveness of mathematics as a problem of analytical philosophy, started at the end of the 19th century, are yet far from coming out with an acceptable theoretical solution. The theories developed for explaining the empirical “miracle” of applied mathematics vary in nature, foundation and solution, from denying the existence of a genuine problem to structural theories with an…Read more

70What is Mathematics: School Guide to Conceptual Understanding of MathematicsPhilScience Press. 2021.This is not a mathematics book, but a book about mathematics, which addresses both student and teacher, with a goal as practical as possible, namely to initiate and smooth the way toward the student’s full understanding of the mathematics taught in school. The customary proceduralformal approach to teaching mathematics has resulted in students’ distorted vision of mathematics as a merely formal, instrumental, and computational discipline. Without the conceptual base of mathematics, students dev…Read more

64A complete probability guide of Hold'em Poker, this guide covers all possible gaming situations. The author focuses on the practical side of the presentation and use of the probabilities involved in Hold'em, while taking into account the subjective side of the probabilitybased criteria of each player's strategy.

63Roulette Odds and Profits: The Mathematics of Complex BetsInfarom. 2008.Continuing his series of books on the mathematics of gambling, the author shows how a simplerule game such as roulette is suited to a complex mathematical model whose applications generate improved betting systems that take into account a player's personal playing criteria. The book is both practical and theoretical, but is mainly devoted to the application of theory. About twothirds of the content is lists of categories and subcategories of improved betting systems, along with all the parame…Read more

59Ce este matematica: Ghidul şcolar al înţelegerii conceptuale a matematiciiPhilScience Press. 2020.Aceasta nu este o carte de matematică, ci una despre matematică, care se adresează elevului sau studentului, dar şi dascălului său, cu un scop cât se poate de practic, anume acela de a iniţia şi netezi calea către înţelegerea completă a matematicii predate în şcoală. Tradiţia predării matematicii întro abordare preponderent proceduralformală a avut ca efect o viziune deformată a elevilor asupra matematicii, ca fiind ceva strict formal, instrumental şi calculatoriu. Pierzând contactul cu baza …Read more

56The Nature of the Structures of Applied Mathematics and the Metatheoretical Justification for the Mathematical ModelingRomanian Journal of Analytic Philosophy 9 (2): 132. 2015.The classical (settheoretic) concept of structure has become essential for every contemporary account of a scientific theory, but also for the metatheoretical accounts dealing with the adequacy of such theories and their methods. In the latter category of accounts, and in particular, the structural metamodels designed for the applicability of mathematics have struggled over the last decade to justify the use of mathematical models in sciences beyond their 'indispensability' in terms of either m…Read more

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32Wigner’s Puzzle on Applicability of Mathematics: On What Table to Assemble It?Axiomathes 1 130. 2019.Attempts at solving what has been labeled as Eugene Wigner’s puzzle of applicability of mathematics are still far from arriving at an acceptable solution. The accounts developed to explain the “miracle” of applied mathematics vary in nature, foundation, and solution, from denying the existence of a genuine problem to designing structural theories based on mathematical formalism. Despite this variation, all investigations treated the problem in a unitary way with respect to the target, pointing t…Read more

30Filosofia aplicabilitatii matematicii: Modele teoreticePhilScience Press. 2021.În acest volum, autorul prezintă în mod critic modelele teoretice dezvoltate pentru a reprezenta aplicarea şi aplicabilitatea matematicii în ştiinţe şi universul fizic, oferind soluţii constructive care răspund obiecţiilor fundamentale ridicate la aceste modele. Atenţia principală este acordată modelelor structurale, deoarece noţiunea de structură matematică intervine esenţial atât în caracterizarea matematicii pure, cât şi aplicate, iar procesele mentale implică la rândul lor reprezentări de ti…Read more

14Wigner’s Puzzle on Applicability of Mathematics: On What Table to Assemble It?Axiomathes 30 (4): 423452. 2020.Attempts at solving what has been labeled as Eugene Wigner’s puzzle of applicability of mathematics are still far from arriving at an acceptable solution. The accounts developed to explain the “miracle” of applied mathematics vary in nature, foundation, and solution, from denying the existence of a genuine problem to designing structural theories based on mathematical formalism. Despite this variation, all investigations treated the problem in a unitary way with respect to the target, pointing t…Read more

13The Epistemology of the Near Miss and Its Potential Contribution in the Prevention and Treatment of ProblemGamblingJournal of Gambling Studies 1 116. 2019.The nearmiss has been considered an important factor of reinforcement in gambling behavior, and previous research has focused more on its industryrelated causes and effects and less on the gaming phenomenon itself. The nearmiss has usually been associated with the games of slots and scratch cards, due to the special characteristics of these games, which include the possibility of premanipulation of award symbols in order to increase the frequency of these “engineered” nearmisses. In this pa…Read more

12Book Review: Luck, logic, and white lies: the mathematics of games, second edition (review)International Gambling Studies 21. 2021.Book Review Luck, logic, and white lies: the mathematics of games, second edition by Jörg Bewersdorff, New York, Taylor & Francis, CRC Press, 2021, 568 pp., GBP 42.99 (paperback), ISBN 9780367548414, Number of chapters 51

10Book Review: Mathematics of casino carnival games (review)International Gambling Studies 21. 2021.Book Review Mathematics of casino carnival games by Mark Bollman, New York: CRC Press 2021, 318 pp., GBP 48.99 (hardback), ISBN 9780367348656

1Wigner’s Puzzle on Applicability of Mathematics: On What Table to Assemble It?Axiomathes 1 130. 2019.Attempts at solving what has been labeled as Eugene Wigner’s puzzle of applicability of mathematics are still far from arriving at an acceptable solution. The accounts developed to explain the “miracle” of applied mathematics vary in nature, foundation, and solution, from denying the existence of a genuine problem to designing structural theories based on mathematical formalism. Despite this variation, all investigations treated the problem in a unitary way with respect to the target, pointing t…Read more
Areas of Specialization
Epistemology 
Philosophy of Language 
M&E, Misc 
General Philosophy of Science 
Philosophy of Mathematics 