{"title":"A Simple Proof Of The Non Existence Of The Centre Of A Parabola","authors":"S. Dasgupta","doi":"10.2139/ssrn.3879153","DOIUrl":"https://doi.org/10.2139/ssrn.3879153","url":null,"abstract":"The study about the centre of a conic section is always a major part in basic coordinate geometry. This study consists of the existence and finding of the centre of a given conic. In many books of coordinate geometry we usually notice a statement that the centre of a parabola is at infinity. But this statement is actually wrong. The correct statement should be there exist no centre of a parabola. Because ‘at infinity’ means there exist but we can’t find it. Here we had proved this simple thing using very simple algebraic calculations. We had also enclosed the long calculative classical method of it as defined in some well known coordinate geometry books.","PeriodicalId":432647,"journal":{"name":"Logic & Philosophy of Mathematics eJournal","volume":"620 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116402500","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"In Search of the Encounter between Religion and Mathematics","authors":"Wiwit Kurniawan, T. Hidayati","doi":"10.53639/IJSSR.V1I3.31","DOIUrl":"https://doi.org/10.53639/IJSSR.V1I3.31","url":null,"abstract":"Religion and mathematics are perceived as two things that are very reciprocally exclusive; this is due to the opinion asserting that mathematics is considered as valid and objective knowledge. On the other hand, religion is something interpretive and subjective. Historically speaking, religion and mathematics have a strong association and in certain aspects, both of them have points of contact that can permeate each other. The forms of intersection between mathematics and religion need to be analyzed so that we will be able to see more clearly the current religious phenomenon. This study investigates and discovers a potential encounter between religion and mathematics. To see the relationship between religion and mathematics, and even their fusion, the first thing to do is determine the definition of religion and mathematics. With a clear understanding of both, the encounter points will be easier to recognize. The research method used in this study is a literature review. This study collects systematically a variety of literature related to the theme under study. The encounter between religion and mathematics undergoes at five dimensions, they are ontological, epistemological, teleological, theoretical and application dimension. This study more focused on similarities to reveal the connection between religion and mathematics. \u0000 ","PeriodicalId":432647,"journal":{"name":"Logic & Philosophy of Mathematics eJournal","volume":"34 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-12-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123176661","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Main Concepts in Philosophy of Quantum Information","authors":"Vasil Penchev","doi":"10.2139/ssrn.3630828","DOIUrl":"https://doi.org/10.2139/ssrn.3630828","url":null,"abstract":"Quantum mechanics involves a generalized form of information, that of quantum information. It is the transfinite generalization of information and re-presentable by transfinite ordinals. The physical world being in the current of time shares the quality of “choice”. Thus quantum information can be seen as the universal substance of the world serving to describe uniformly future, past, and thus the present as the frontier of time. Future is represented as a coherent whole, present as a choice among infinitely many alternatives, and past as a well-ordering obtained as a result of a series of choices. The concept of quantum information describes the frontier of time, that “now”, which transforms future into past. Quantum information generalizes information from finite to infinite series or collections. The concept of quantum information allows of any physical entity to be interpreted as some nonzero quantity of quantum information. The fundament of quantum information is the concept of ‘quantum bit’, “qubit”. A qubit is a choice among an infinite set of alternatives. It generalizes the unit of classical information, a bit, which refer to a finite set of alternatives. The qubit is also isomorphic to a ball in Euclidean space, in which two points are chosen.","PeriodicalId":432647,"journal":{"name":"Logic & Philosophy of Mathematics eJournal","volume":"10 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-06-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117193632","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"On the Immense and Severe Confusions and Muddles About the Nature of Subjective and Objective Probability in the Theory of Rational Expectations: A Subjective Probability (Distribution) Can Never Become an Objective Probability (Distribution) or a True or a Correct Probability","authors":"M. E. Brady","doi":"10.2139/ssrn.3289046","DOIUrl":"https://doi.org/10.2139/ssrn.3289046","url":null,"abstract":"Starting with J. Muth’s unsupported and unsupportable claims, originally made in 1961, that “rational expectations�? were subjective probability distributions that were distributed around a known, true, objective probability distribution, various economists have provided the same type of unsupported and unsupportable claim to assert that subjective probability distributions become equal to objective probability distributions. This is impossible since the only restriction allowed in the subjective theory of probability is that the subjective probabilities must be additive, so that they are coherent, which means that they conform to, and are consistent with, the mathematical laws of the probability calculus. Any other restrictions added, as done by Muth initially, and later by rational expectationist adherents like Lucas and Sargent, to this requirement of additivity, are rejected. The many restrictions incorporated by rational expectationists lead to the limiting frequency theory of probability, which can only hold in the very long run as one approaches infinity. Rational expectationists, however, claim that the decision makers can know the limiting, convergent behavior in the short run of the long run series of observations. They commit the logical fallacy of conditional a priorism, or long runism, that was examined repeatedly by the philosopher of science, Nicholas Rescher, in the 1970’s. None of the claims made by rational expectationists can ever hold in the short run. For instance, the Rational expectationist claim that the Phillips Curve is vertical in the short run is a perfect example of the logical fallacy of conditional a priorism.","PeriodicalId":432647,"journal":{"name":"Logic & Philosophy of Mathematics eJournal","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-11-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125797703","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Mathematical Axiomatic Physics (Analytical Form)","authors":"Constantinos Challoumis","doi":"10.2139/ssrn.3278346","DOIUrl":"https://doi.org/10.2139/ssrn.3278346","url":null,"abstract":"This paper shows that the concept of mathematical axiomatic physics is about the study of physics through the use of mathematics. The mechanisms of physics could be explained from the view of mathematics giving transitions to the field of physics. These basically are the two options of the same issue in the structure of things. For the purposes of this work are used philosophical concepts, mathematical and functional analysis, and contemporaneously some physical elements. This thesis aims to represent the common place of epistemic reasoning of philosophy , physics and mathematics.","PeriodicalId":432647,"journal":{"name":"Logic & Philosophy of Mathematics eJournal","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-11-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116349873","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Identification and Estimation of a Factor Model","authors":"X. Zou","doi":"10.2139/ssrn.3261808","DOIUrl":"https://doi.org/10.2139/ssrn.3261808","url":null,"abstract":"In this paper, we study identification and estimation of a factor model in classic factor analysis. It is well-known that the factor loading matrix of a classic factor model can only be determined up to a multiplication of an orthogonal matrix on the right if one only considers the first and second moments. To our best knowledge, there are no researches on the analysis of higher order moments in the literature. We take the first step to leverage the information of the fourth-order moments of observable variables and show that, under certain conditions, the factor loading matrix can be identified if the fourth moment of the normalized factor is different from that of a standard normal distribution. The exclusion of normal distributed factor model is necessary since such factor model is deemed to be indeterminate. Although our proof depends on some extra technical assumption, we believe, confirmed by some numerical results, that the factor loading matrix can be identified in general as long as above assumption regarding fourth moment of the normalized factor holds. We also provide an effective algorithm to fit a factor model with a large number of observable variables.","PeriodicalId":432647,"journal":{"name":"Logic & Philosophy of Mathematics eJournal","volume":"205 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116185714","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Strategy Choice in the Infinitely Repeated Prisoners’ Dilemma","authors":"Pedro Dal Bó, Guillaume Fréchette","doi":"10.2139/ssrn.2292390","DOIUrl":"https://doi.org/10.2139/ssrn.2292390","url":null,"abstract":"We use a novel experimental design to reliably elicit subjects’ strategies in an infinitely repeated prisoner’s dilemma experiment with perfect monitoring. We find that three simple strategies repre‑ sent the majority of the chosen strategies: Always Defect, Tit‑for‑Tat, and Grim. In addition, we identify how the strategies systematically vary with the parameters of the game. Finally, we use the elicited strategies to test the ability to recover strategies using statistical methods based on observed round‑by‑round cooperation choices and find that this can be done fairly well, but only under certain conditions. (JEL C72, C73, C92)","PeriodicalId":432647,"journal":{"name":"Logic & Philosophy of Mathematics eJournal","volume":"16 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127708198","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Chaos and Order in the Integers Primes","authors":"P. Mazurkin","doi":"10.12691/AMP-2-4-4","DOIUrl":"https://doi.org/10.12691/AMP-2-4-4","url":null,"abstract":"Statistical modeling by asymmetric waves, with variables amplitude and a half-cycle of fluctuation, dynamics of a scatter of block structure of positive part of a number of the integers prime which located in a row of 10 million natural numbers, proved emergence of three stages of growth of the left and right reference points in blocks of binary decomposition of prime numbers. These a reference point settle down on each side from the dividing line in the form of the two in the degree equal to number of the category of a binary numeral system, without unit. The first stage of critical chaos is formed by critical prime numbers 0, 1 and 2. The second stage of an accruing order begins with number 3 and comes to the end with a margin error in 1% at the 1135th category of binary notation for the left reference point. At blocks increasing on length among the integers prime by calculations after the 1135th category there comes the third stage with high definiteness of the beginning and the end of blocks of binary decomposition of positive prime numbers.","PeriodicalId":432647,"journal":{"name":"Logic & Philosophy of Mathematics eJournal","volume":"2 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-08-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131597525","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Cuando Las Matemáticas Suplantan a La Economía (When Mathematics Supplants Economy)","authors":"M. Martínez","doi":"10.2139/SSRN.2492496","DOIUrl":"https://doi.org/10.2139/SSRN.2492496","url":null,"abstract":"Spanish Abstract: El objetivo de este trabajo es revisar como la filosofia de la matematica ha influido en la elaboracion de la mas reciente teoria economica. Se comienza estudiando la relacion entre certeza y verdad, con ocasion de la crisis de la matematica de finales del siglo XIX. Se exponen las \"matematizaciones\" de la economia en la segunda mitad del siglo XX y se acaba haciendo algunas reflexiones sobre las relaciones entre epistemologia, antropologia y el problema economico.English Abstract: The aim of this paper is to review how the philosophy of mathematics has influenced the development of the economic theory. It begins studying the relationship between certainty and truth, in particular during the crisis of mathematics in the late nineteenth century. The \"mathematization\" of the economy are presented in the second half of the twentieth century. Finally, making some reflections on the relationship between epistemology, anthropology and economic problem.","PeriodicalId":432647,"journal":{"name":"Logic & Philosophy of Mathematics eJournal","volume":"6 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125659292","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"An Attitude of Complexity: Thirteen Essays on the Nature and Construction of Reality Under the Challenge of Zeno's Paradox","authors":"Scott A. Albers","doi":"10.2139/SSRN.2610900","DOIUrl":"https://doi.org/10.2139/SSRN.2610900","url":null,"abstract":"This book is about the construction of reality. The central aim of this study is to understand how gravity works and how it may be focused and manipulated. While I do not have an answer to this question, the discoveries along the way have been worth collecting into a single volume for future reference.","PeriodicalId":432647,"journal":{"name":"Logic & Philosophy of Mathematics eJournal","volume":"53 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-03-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117177933","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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