scholarly journals Extended methodology for deriving formal concepts

2021 ◽  
Vol 2099 (1) ◽  
pp. 012026
Author(s):  
V A Semenova ◽  
S V Smirnov

Abstract Two methodologies for formal concepts derivation are considered: the classical one, which focuses on the posterior analysis of the object’s properties of the studied knowledge domain, and non-classical, the cornerstone of which is the a priori formation of the set of measured object’s properties and the determination of existential relations on this set. In the article, firstly, a position is fixed in the technological chain of the target transformation of the source data, where the difference between considered methodologies shows itself. Secondly, the commonality of these two approaches is established in the aspect of the unity of their hypothetical-deductive basis. In this case, the cognitive activity of the subject is expressed first in a priori and then in a posteriori conceptual scaling of the measured properties. The work demonstrates the need for the joint use of the considered methodologies at processing incomplete and inconsistent empirical data about studied knowledge domain. The intermediate consolidation of these methodologies is possible only on the basis of multi-valued logic.

2019 ◽  
Vol 31 (5) ◽  
pp. 1339-1344
Author(s):  
Baki Koleci

We, as individuals, continually through our lives, learn and acquire the knowledge, skill, and skill we expect to help us employ or apply appropriately in order to gain a living and secure our survival. Everyone wants to build a successful career with which he can be proud of his life. However, this is not always so easy and simple, it requires a lot of sacrifices, concessions, compromises with our partners, the family, close social relationships, and finally with ourselves. In this paper, the subject of the research is the determination of career development, career stages, career factors, then expert opinions, the difference between traditional and modern career views, goals pursued by individuals in the career, and so on, Career development can be seen as an experience of individuals (an internal career) and this is not related to an organization. Although the responsibility for career management is in the hands of individuals, individuals, however, organizations can play a key role in shaping and developing careers by providing help and providing support. Career development can not be pursued individually or separately from the personality as a whole, meaning it reflects on the context of life and the development of the person as a whole, not just personality as work. The main goal in career development is to realize the current and future needs and goals of the organization and individuals, which has to do more with developing employment opportunities and improving the skills needed for employment. Career success is reflected in the eyes of the individual and can be defined as a career pleasure through achieving personal goals related to the work, while at the same time enhancing the success and efficiency of the organization.


2020 ◽  
Vol 57 (2) ◽  
pp. 114-123
Author(s):  
Valentin A. Bazhanov ◽  

An article by T. Rockmore, published in the journal “Epistemology and Philosophy of Science” in 2009 (Vol. XXII. No. 4, pp. 14‒29), claim that naturalism is by its nature an example of anti-Kantianism, for it treats philosophy as a continuation science and recognizes science as a legitimate source of knowledge, does not allow a priori, relies on an a posteriori approach, empiricism in the pre-Kantian sense, and insists on the possibility of revising the knowledge acquired. This article has a goal to show that T. Rockmore point of view should be revised due to the progress of modern cognitive research and, first of all, neuroscience, in which all the features of the naturalistic approach are implemented and in which the “Kantian program” of brain research is developed. In the context of this program, the existence on the ontological level (i.e., in the brain) of certain neural structures that make it possible and play a crucial role in the cognitive activity of a person is recognized. Those concepts that Kant treated as components of cognitive activity in modern neuroscience acquired ontological status in the form of the activity of certain neural structures, which turn out to be prerequisites and components of this activity. We claim that in the context of the Kantian research program in neuroscience, the metaphor “Kantian brain” naturally entered the vocabulary of neuroscientists, and certain specific operations and functions of the brain began to be associated with individual elements of Kant's ideas. It is in this context attempts are made to comprehend the mechanisms of the brain in the “stimulus – activity” mode, when an external effect leads to the excitation of certain neural structures. The brain is capable to anticipate the long-term results of certain actions of the subject. In the case of foresight, the brain generates “internal” models and uses for their correction external data that constantly provided from reality across the subject. At the same time, some kind of self-correcting mechanisms implements, which from a formal point of view described by the Bayes theorem, using a priori evaluations of upcoming events and changes in these evaluations as result of experience. Thus, naturalism and Kantianism understood in the context of the progress of modern science, despite T. Rockmore idea, are completely compatible.


2013 ◽  
Vol 43 (2) ◽  
pp. 161-176 ◽  
Author(s):  
Renaud Barbaras

Abstract The universal a priori of the correlation between transcendental being and its subjective modes of givenness constitutes the minimal framework for any phenomenological approach. The proper object of phenomenology is then to characterize both the exact nature of the correlation and the sense of being of the terms in relation, that is to say, of subject and world. It involves demonstrating that a rigorous analysis of the correlation unfolds necessarily on three levels and that phenomenology is thus destined to move beyond itself towards a cosmology and metaphysics. The phenomenological correlation that we will establish is essentially a relation between a subject that is desire and a world that is pure transcendence and assumes their common belonging to a φύσίς whose description stems from a cosmology. But the difference of the subject, without which there is no correlation, refers itself to a more originary split that affects the very process of the manifestation and opens the space of metaphysics.


The author institutes a comparison between the barometric heights as observed at the Apartments of the Royal Society, and at his house in Herefordshire, in the neighbourhood of Ross, with a view to ascertain the influence of prevailing winds on the atmospheric pressure. The barometers thus compared together were of the same construction, and by the same maker; and the times of observation, namely nine o’clock a. m. and three o’clock p. m., were the same at both places, the distance between which is 110 miles in longitude, and about 20 in latitude. The degree of accordance in the march of the two barometers is exhibited by that of curves traced on three sheets accompanying the paper. The results are given in eight tables. The author agrees with Schubler in ascribing the currents prevailing in the atmosphere to the variable relations of heating and cooling which obtains between the Atlantic Ocean and the continent of Europe at different seasons; the facts ascertained by the series of observations here presented being in accordance with that hypothesis. If the northerly and westerly winds in England be partly the effect of the expansion of the air on the continent, then the barometer which is nearest to the continent, or in this instance that at London, ought to be relatively more depressed than the one more distant; or if the southerly and easterly winds be regarded as proceeding to the ocean, then, for a similar reason, the barometer nearest to the ocean ought to be relatively depressed; and that both these effects are produced, is shown by the tables. This view of the subject also, the author remarks, is corroborated by Raymond’s observations, detailed in his memoir on the determination of the height of Clermont Ferrand, from which it appears that with the north winds, the southern barometer was most depressed; while the reverse occurred with the southerly winds.


1835 ◽  
Vol 125 ◽  
pp. 57-81

Hitherto in the theory of the secular inequalities the terms in the disturbing function of the fourth order as regards the inclinations have been neglected. As the magnitude of these terms depends, in great measure, upon certain numerical co­efficients, it is impossible to form any precise notion à priori with respect to their amount, and as to the error which may arise from neglecting them. I have therefore thought it desirable to ascertain their analytical expressions; and the details of this calculation form the subject of this paper. Some of the secular inequalities which result from these terms are far within the limits of accuracy which Laplace appears to have contemplated in the third volume of the Mécanique Céleste. The method which I have here adopted for developing the disturbing function rests upon principles which I have already explained. Very little trouble is requisite to obtain certain analytical expressions for the terms upon which the secular inequalities depend, or for any others, in the development of the disturbing function; but it is not so easy to put these expressions in the simplest form of which they are susceptible; and this is a point to which I think hitherto sufficient attention has not been paid. It will be found that I have obtained, finally, expressions of very remarkable sim­plicity; to accomplish this, however, I have been obliged to go through tedious pro­cesses of reduction, the details of which are here subjoined, in order that my results may be verified or corrected without difficulty. In order to give an additional example of the great facility with which terms in the disturbing function are arrived at by my method, I have calculated one of those given by Professor Airy, and which is required in the determination of his inequality of Venus; and I have arrived at the result which he has given. The same method, with certain modifications, is applicable to the de­velopment of the disturbing function in terms of the true longitudes. The terms in the disturbing function which give rise to the secular inequalities of the elliptic constants, when the terms of the order of the fourth powers of the eccentricities and inclinations are retained, and higher powers of those quantities are neglected, are as follows: and I propose, as they form, in fact, a system apart, to distinguish them by the indices given in the left-hand column.


1861 ◽  
Vol 151 ◽  
pp. 579-594 ◽  

It is with pleasure that I request the attention of the Royal Society to the present com­munication, in continuation and completion of my former papers, because I think that the anomalies which the Indian Arc has appeared to present are here traced to the true causes. 1. I will explain what those anomalies were. On completing a laborious and wellexecuted survey of the two northern portions of the Indian Arc of Meridian, between Kaliana (29° 30' 48") and Kalianpur (24° 7' 11"), and Kalianpur and Damargida (18° 3' 15"), Colonel Everest found that their astronomical and geodetical amplitudes differed considerably; in the higher arc the geodetic amplitude he found to be in excess by 5"·236, in the lower of the two ares in defect by 3"·791. The three stations had been selected with great care, and were finally chosen as being apparently free from all disturbing causes. Indeed, a fourth station which had been at one time adopted, Takal Khera in Central India, was rejected by Colonel Everest because a neighbouring hillrange was discovered on calculation to produce a deflection of about 5". Kaliana had been chosen nearly sixty miles from the lower hills at the foot of the Himmalaya Moun­tains, in the full conviction that it would be free from mountain influence. The surprise was therefore great when, on the completion of the survey of the two arcs in question, these two errors were brought to light. The first was attributed to the influence of the Himmalayas, but without any calculation; but the second, with its negative sign, received no interpretation. At this stage I devised a method of calculating the effect of the Himmalayas by a direct process; and found that the deflections produced are far greater than the errors which had to be explained, and the negative sign was left alto­gether unaccounted for. Thus the perplexity was increased. It next occurred to me that the vast Ocean to the south of India might have some influence on the plumb-line. On making the necessary calculations the effect of this cause was found, as the moun­tain attraction had been, to be far greater than had been anticipated; the negative sign was still unexplained, and the difficulties were not cleared up. No other cause of dis­turbance was apparent at the surface. But I showed by calculation that in the crust below one might exist sufficient to reduce the large deflections occasioned by the Moun­tains and the Ocean, and make them accord with the results deduced by Colonel Everest from the arcs themselves. But, being hidden from our sight, neither the magnitude nor indeed the existence of this cause could be à priori ascertained, much less reduced to calculation. Whether, moreover, the errors brought to light by Colonel Everest arose solely from local attraction, or from local attraction combined with some local peculiarity in the curvature of the Indian Arc, was not apparent; so that the subject of local attrac­tion and its influence on geodetic operations in this country, was still involved in obscu­rity, and the anomalies of the Indian Arc remained unexplained in the papers which I have hitherto forwarded to the Society. In the present communication I think ambi­guity is removed. It is demonstrated that no peculiarity in the curvature of the arc can produce any part of the errors brought to light by Colonel Everest; that those errors arise solely from local attraction; that they are in fact the exact measure of the difference of the resultant local attraction at the two extremities of each arc, from what­ ever causes the attraction may arise—mountains, ocean, or crust; lastly, it is proved that there are hidden causes in the crust below the Indian Arc, and the differences of their resultant effect upon the stations of the arc are computed. An inference from these results is, that the relative position of places in a Map, laid down from geodetic operations, is accurate, being altogether unaffected by local attraction; though the position of the Map itself on the terrestrial spheroid will be dependent upon the observed latitude of some one station in it, and that observed latitude will be affected by the local attraction at that place. To determine the absolute latitude in some one station connected with the geodetic operations is still a desideratum.


2020 ◽  
Vol 57 (3) ◽  
pp. 60-74
Author(s):  
Tatiana D. Sokolova ◽  

The article is devoted to the analysis of research approaches and attitudes to the study of the a priori in the philosophy of science. In the first part, I outline the basic premises of this study: (a) scientific knowledge as the highest manifestation of rationality; (b) the normative nature of scientific knowledge. In the second part, I turn to the difference in the subject of philosophical research on the history of science – the history of science as a “history of facts” vs the history of science as a history of scientific thought. The third part discusses the main theoretical and technical difficulty associated with changing the subject of research – the possibility of a transition from historical fact to “scientific thought at the time of its birth” (in Helene Metzger terminology). The forth part is devoted to the analysis of the “model approach” (Arianna Betti, Hein van den Berg) in philosophy as a possible way to overcome this difficulty and includes both theoretical and technical aspects of the future direction of research. In conclusion, consequences are drawn about the possibility of using the “model approach” for reconstruction a priori in the history of science as “constitutive elements of scientific knowledge” (David Stump).


1825 ◽  
Vol 115 ◽  
pp. 510-512

Whenever any difference of opinion exists on philosophical subjects depending on experiment or observation, it is much more useful simply to state facts, than to reason on them prematurely. Having this principle in view, I am induced to transmit to the Society the annexed small Table, which contains the annual variations of some of the fixed stars, as deduced both from Dr. Brinkley's observations and my own, and by which each may be compared with the annual variations determined by very distant observations, according to the more usual method. Of sixteen stars south of the zenith, observed at Dublin, it will be seen, by the table, that thirteen of them either indicate, or at least are not inconsistent with that irregularity which I have noticed under the name of southern deviation; of these thirteen, about half indicate rather a greater deviation than I have assigned to them, the other half deviate less. The three remaining stars, Castor, α Aquilse, α Cygni, deviate in a contrary direction. The difference in α Cygni is considerable, and not easily to be accounted for, as this star is one of those most frequently observed at each observatory, and is so near the zenith as not to be easily affected by the uncertainty of astronomical refraction. I fear the examination of these tables will rather increase than diminish that tendency to scepticism which does and indeed ought to exist, relative to the determination of such very small quantities by astronomical observation; but I deem it peculiarly incumbent on any one, placed in the situation which I hold, not to be influenced by these considerations : on the contrary, the difficulty and perplexity of the subject should only act as an incentive to contrive more powerful methods of investigation.


The normal fatty acids may unquestionably be regarded as one of the most interesting and important groups of chemical compounds. Many of them occur commonly in nature, and form the basis of valuable industrial products. The part which they and their derivatives play in life processes gives them a particular interest to the biologist. As compounds, which appear to be readily obtainable pure, and which form regular series including a comparatively large number of individuals, they furnish the chemist and physicist with material peculiarly adapted for the study of the relationship between constitution and properties. For these reasons they have been the subject of an almost endless number of investigations, in which the preparation and properties both of individual members or groups of individuals have been studied. At this stage, it might well have been assumed that every member of the series had long since been obtained pure, and its properties determined with so high a degree of accuracy, that only the exacting requirements of some new investigation would have demanded further study of the subject. Reference to the literature of the subject, however, showed that the real position was by no means satisfactory. While, on the one hand, the results of the determination of such a property as the melting point of certain members of the series, for instance, arachidic acid, obtained from various natural sources by chemists of established reputation, gave a constant value, and while the criteria of purity of the various samples were quite satisfactory, the material was certainly not identical with samples of the corresponding acid prepared synthetically. The difference was in some cases such as to justify the assumption that the natural and synthetic acids were differently constituted, but no theory could be found to account for the observed differences.


I Resume the subject of Part V. of this Memoir by inquiring further into the generating function of the partitions of a number when the parts are placed at the nodes of an incomplete lattice, viz., of a lattice which is regular but made up of unequal rows. Such a lattice is the graph of the line partition of a number. In Part V. I arrived at the expression of the generating function in respect of a two- row lattice when the past magnitude is unrestricted. This was given in Art. 16 in the form GF ( ∞ ; a, b ) = (1) + x b +1 (a - b) / (1) (2) ... (a+1). (1) (2) ... (b). I remind the reader that the determination of the generating function, when the part magnitude is unrestricted, depends upon the determination of the associated lattice function (see Art. 5, loc . cit .). This function is assumed to be the product of an expression of known form and of another function which I termed the inner lattice function (see Art. 10, loc . cit .), and it is on the form of this function that the interest of the investigation in large measure depends. All that is known about it à priori is its numerical value when x is put equal to unity (Art. 10, loc cit . The lattice function was also exhibited as a sum of sub-lattice functions, and it was shown that the generating function, when the part magnitude is restricted, may be expressed as a linear function of them. These sub-lattice functions are intrinsically interesting, hut it will be shown in what follows that they are not of vital importance to the investigation. In fact, the difficulty of constructing them has been turned by the formation and solution of certain functional equations which lead in the first place to the required generating functions, and in the second place to an exhibition of the forms of the sub-lattice functions. To previous definitions I here add the definition of the inner lattice function when there is a restriction upon the part magnitude, and it will be shown that the generating, lattice, and inner lattice functions satisfy certain functional equations both when there is not and when there is a restriction upon the part magnitude.


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