On the Relation between the Theories of Compound Interest and Life Contingencies

1907 ◽  
Vol 41 (3) ◽  
pp. 305-348
Author(s):  
John Mayhew Allen

It has often occurred to me that but scant justice has been done to the application of the infinitesimal calculus to the theories of compound interest and life contingencies. This is, perhaps, in some measure due to the popular relegation of the differential and integral calculus to the realms of the so-called “higher mathematics.” There are, of course, two aspects of the case to be borne in mind. On the one hand, it is necessary to present the subjects in such a form as will be best suited to the student who is commencing to study them. For this purpose experience shows that a start should be made with particular cases, leaving the generalization until such time as the student shall have obtained a grasp of first principles sufficient to enable him to view the subjects in their general aspect. On the other hand, however, there is no doubt that to the reflective mind there comes a time when the desire is felt to invert the process and deduce the formulæ in their logical sequence from a fundamental general hypothesis.

Author(s):  
Peter Ullrich

Starting from the quote from Hermann Weyl given in the title a ramble is undertaken through the development of the notion of function with special emphasis on the question whether the values are associated following a law. On the one hand, this shows a success story of the interplay of this notion and of infinitesimal calculus. On the other hand, one finds impressive examples of overgeneralizations. Classification: C30, D70, E40, I20, I30, M10. Keywords: notion of function, functional laws, overgeneralization.


2013 ◽  
pp. 31-50
Author(s):  
Melina G. Mouzala

This paper presents Aristotle’s method of understanding the first principles of natural things in the Physics I.1 and analyzes the three stages of which this method consists. In the Physics I.1, Aristotle suggests that the natural proper route which one has to follow in order to find out the first principles of natural things is to proceed from what is clearer and more knowable to us to what is more knowable and clear by nature. In the Physics I.1, the terms καθόλου (universal) and καθ΄ ἕκαστα (particular) are not used in their usual meaning (e.g., the meaning which the same terms have in the Posterior Analytics I. 2). This paper examines the Physics I.1 in comparison with the Posterior Analytics II. 19 in order to elucidate the meaning of καθόλου in the first chapter of Aristotle’s Physics. Furthermore, it reaches the conclusion that the structure of the natural world to which we belong determines the structure and the form of our knowledge. On the one hand, natural things are composite and, on the other hand, perception is involved in the initial grasping of natural things as composites. Thus, since perceptual knowledge is more accessible to us than any other kind of knowledge it is natural to reach knowledge of simple things, i.e., of the principles, starting our inquiry with the composites.


1867 ◽  
Vol 24 (3) ◽  
pp. 515-521
Author(s):  
Edward Sang

That part of universal arithmetic which relates to the changes of variable quantities, and which is known under the titles—Fluxions, The Higher Calculus, The Infinitesimal Calculus, The Theory of Functions, has been divided into two branches, called respectively the Differential and the Integral Calculus; the one of these being regarded as the converse of the other; and every problem connected with variation has been supposed to require either or both of the processes known as differentiation and integration.


1900 ◽  
Vol 66 (424-433) ◽  
pp. 336-337

The object of the paper is to exhibit the processes of the infinitesimal calculus and of the calculus of finite differences as combinatorial processes. A large class of problems can be dealt with by designing on the one hand a function, and on the other hand an operation, in such wise that when the operation is performed upon the function a number results which enumerates the combinations with which the problem is concerned.


2019 ◽  
Author(s):  
Юлий Ольсевич ◽  
YUliy Olsyevich

This book proposes and proves a general hypothesis: social and economic evolution and modern society are the result of the expansion in time and space of genetic bases of the human psyche. The decoding of the molecular structure of the human genome and the identification of many genes, responsible for its psyche, mark a new stage in the development of the science about human behaviour. Geneticists have established that behaviour is 50% defined by hereditary factors and the remaining 50% by upbringing, experience, and consciousness. Psychogenomics – a science about the genes governing the psyche – has provided me with the starting point for revealing the structure of the human psyche and for the allocation of the invariant types of the psyche of participants in economic activities. Such an approach allows me to explain in a new way the structure and functioning of social and economic systems in the book: in particular, the direction of the evolution of the market capitalist economy, the rise and collapse of state socialism, modern global crises, and the prospects of national economies. In the book, the attempts of the most well-known psychologists and economists, including recent Nobel Laureates in economics, to account for the independent role of the psychological factor in social and economic development, are illustrated. In this context, one can divide psychologists and economists into three groups. The first group recognises the genetically caused features of the psyche, but treats them in a simplified and one-sided way. The second group considers the human psyche as something completely derived from the «environment». The third group has come closest to the truth. These psychologists and economists consider the complex, genetic-social nature of the psyche, and its heterogeneity in different groups of individuals. However, as psychogenomic data was not available to them, they therefore could not explain the division and interaction between elements that were genetically inherited from those that were obtained «from outside» of the psyche of participants in the economy. Nevertheless, in the works of this group of authors, a vast layer of knowledge has been accumulated, and the first three chapters of this book are devoted to a brief analysis of their points of views. In the following two chapters (chapters 4 and 5), a comparison of these views with the achievements of psychogenomics has allowed me to fill the division of the psyche accepted in psychology between the unconscious (genetic memory), preconsciousness (long-term and operative memory), and consciousness, with specific content, directly linked with social-economic activities. They allocate genetically inherited existential requirements, abilities, and instincts, on the one hand, and requirement and instincts, instilled since early childhood, on the other hand, as well as habitual forms of thinking and behaviour. This essentially new approach, which is defined throughout the rest of the analysis, consists of the allocation of three groups of requirements and instincts in the psyche of each person: (1) Individualism (directed towards the survival of the individual); (2) Sociality (directed towards the survival of kin); (3) Developments: In this way, unilateral characteristics of human nature as «individualistic» or «collectivistic» are refuted. In the psyche of the majority of people, the allocated groups of requirements and instincts counterbalance and supplement each other. At the same time, during millions years of evolution have also led to the development of such types of the human psyche, which, deviating from «equilibrium», were called on to contribute flexibility and variety to primitive society. These are the types of the psyche directed along one way, dominated by requirements and instincts of individualism, sociality, or development. In the book, the differentiation of types of psyche from the point of view of inborn and instilled requirements and instincts is combined with differentiation according to the character and level of the inborn and developed abilities – both general (intelligence, will, psychic energy, memory, attention, etc.) and specific. The interaction of people with different types of psyche, level, and character of abilities, allows one to explain both the genesis of the market capitalist system and its modern institutional structure. The combination in the inborn psyche of the majority of people of requirements and instincts – individualistic, on the one hand, and socialitarian, on the other hand, as well as requirements for development – has resulted, through their economic interaction over the course of thousands of years, in a combination of market (not personalised) and non-market (personalised) forms of exchanges of activities and distribution of goods and services. The concentration of individuals with an individualistic type of psyche, dominated by requirements and instincts of appropriation, accumulation, and aggression, in combination with high psychic energy potential and organisational abilities, has led to the formation of a class of businessmen. Large sums of capital, firms, and enterprises have emerged. Psychogenomics has provided the general foundation for the systematisation of different types of businessmen, characterised by T. Veblen, J. Schumpeter, W. Sombart, V. Pareto, J. M. Keynes, and other economists. In the book four basic types of capitalist-businessmen have been allocated: (1) The predatory type, accumulating wealth through the redistribution of wealth that had been saved up by others; (2) The innovator, creating new effective combinations of factors of production, technology, and products, and discovering new resources and markets; (3) The slave to routine, following the existing norms of management, technologies, and methods of production; (4) The opportunist, aspiring to benefit in any possible way, including through the infringement of rules and contracts.


Author(s):  
Stefan Krause ◽  
Markus Appel

Abstract. Two experiments examined the influence of stories on recipients’ self-perceptions. Extending prior theory and research, our focus was on assimilation effects (i.e., changes in self-perception in line with a protagonist’s traits) as well as on contrast effects (i.e., changes in self-perception in contrast to a protagonist’s traits). In Experiment 1 ( N = 113), implicit and explicit conscientiousness were assessed after participants read a story about either a diligent or a negligent student. Moderation analyses showed that highly transported participants and participants with lower counterarguing scores assimilate the depicted traits of a story protagonist, as indicated by explicit, self-reported conscientiousness ratings. Participants, who were more critical toward a story (i.e., higher counterarguing) and with a lower degree of transportation, showed contrast effects. In Experiment 2 ( N = 103), we manipulated transportation and counterarguing, but we could not identify an effect on participants’ self-ascribed level of conscientiousness. A mini meta-analysis across both experiments revealed significant positive overall associations between transportation and counterarguing on the one hand and story-consistent self-reported conscientiousness on the other hand.


2005 ◽  
Vol 44 (03) ◽  
pp. 107-117
Author(s):  
R. G. Meyer ◽  
W. Herr ◽  
A. Helisch ◽  
P. Bartenstein ◽  
I. Buchmann

SummaryThe prognosis of patients with acute myeloid leukaemia (AML) has improved considerably by introduction of aggressive consolidation chemotherapy and haematopoietic stem cell transplantation (SCT). Nevertheless, only 20-30% of patients with AML achieve long-term diseasefree survival after SCT. The most common cause of treatment failure is relapse. Additionally, mortality rates are significantly increased by therapy-related causes such as toxicity of chemotherapy and complications of SCT. Including radioimmunotherapies in the treatment of AML and myelodyplastic syndrome (MDS) allows for the achievement of a pronounced antileukaemic effect for the reduction of relapse rates on the one hand. On the other hand, no increase of acute toxicity and later complications should be induced. These effects are important for the primary reduction of tumour cells as well as for the myeloablative conditioning before SCT.This paper provides a systematic and critical review of the currently used radionuclides and immunoconjugates for the treatment of AML and MDS and summarizes the literature on primary tumour cell reductive radioimmunotherapies on the one hand and conditioning radioimmunotherapies before SCT on the other hand.


2003 ◽  
pp. 15-26
Author(s):  
P. Wynarczyk
Keyword(s):  
The Core ◽  

Two aspects of Schumpeter' legacy are analyzed in the article. On the one hand, he can be viewed as the custodian of the neoclassical harvest supplementing to its stock of inherited knowledge. On the other hand, the innovative character of his works is emphasized that allows to consider him a proponent of hetherodoxy. It is stressed that Schumpeter's revolutionary challenge can lead to radical changes in modern economics.


2018 ◽  
Vol 4 (1) ◽  
pp. 67-84
Author(s):  
Wahyudin Noor

Abstract Pesantren are often associated with backwardness and traditionalism in everything: facilities, technology, learning methods, and even the curriculum. For now, it seems like the traditional term for pesantren is no longer relevant enough. The pace of movement in the era of renewal marked by the rapid development of technology has demanded pesantren to make adjustments. However, on the one hand, when viewed from the direction of change, the reform efforts pursued by pesantren are not to erase the old tradition, but merely to add something new so that the old tradition and conditions can be maintained while accepting the presence of a new one. On the other hand, the reform efforts undertaken by pesantren have implications for the fact that the typical values of the pesantren are fading away. Abstrak  Pesantren seringkali diasosiasikan dengan keterbelakangan dan tradisional dalam segala hal: fasilitas, teknologi, metode pembelajaran, dan bahkan kurikulumnya. Untuk saat ini, sepertinya istilah tradisional untuk pesantren, sudah tidak lagi cukup relevan. Laju gerak pembaharuan zaman yang ditandai dengan pesatnya perkembangan teknologi telah menuntut pesantren untuk melakukan penyesuaian diri. Kendatipun demikian, di satu sisi, jika dilihat dari arah perubahan, upaya pembaharuan yang ditempuh pesantren tidaklah untuk menghapus tradisi yang lama, tetapi sekadar menambah dengan sesuatu yang baru sehingga tradisi maupun kondisi yang lama bisa dipertahankan sambil menerima kehadiran yang baru. Di sisi yang lain, upaya pembaharuan yang dilakukan pesantren ternyata berimplikasi pada kenyataan akan semakin pudarnya nilai-nilai khas yang dimiliki oleh pesantren.


2018 ◽  
Vol 1 (1) ◽  
pp. 37-52
Author(s):  
Karimatul Khasanah
Keyword(s):  

BASYARNAS’s verdict in resolving dispute can be negotiated or cancelled by submitting nullification to the Religious Court if the parties or one of them felt dissatisfied with the BASYARNAS verdicts. This case is important to be reviewed academically because of its paradox and ambiguity. On the one hand the decision is final and binding, but on the other hand it could be cancelled through the Religious Court. If the BASYARNAS verdicts really want to be final and binding, the nullification of the verdicts should be abolished. It can be replaced by an amendment of the verdict submitted to BASYARNAS and handed back to the arbitrator (arbitrator panel) who handles the dispute. Apart being fast and confidential, the arbitrator (judge) is more aware of the case, the reasons, evidences and witnesses of the dispute.


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