ABSTRACTIONIST CATEGORIES OF CATEGORIES

2015 ◽  
Vol 8 (4) ◽  
pp. 705-721 ◽  
Author(s):  
SHAY ALLEN LOGAN

AbstractIf ${\cal C}$ is a category whose objects are themselves categories, and ${\cal C}$ has a rich enough structure, it is known that we can recover the internal structure of the categories in ${\cal C}$ entirely in terms of the arrows in ${\cal C}$. In this sense, the internal structure of the categories in a rich enough category of categories is visible in the structure of the category of categories itself.In this paper, we demonstrate that this result follows as a matter of logic – given one starts from the right definitions. This is demonstrated by first producing an abstraction principle whose abstracts are functors, and then actually recovering the internal structure of the individual categories that intuitively stand at the sources and targets of these functors by examining the way these functors interact. The technique used in this construction will be useful elsewhere, and involves providing an abstract corresponding not to every object of some given family, but to all the relevant mappings of some family of objects.This construction should settle, in particular, questions about whether categories of categories qualify as autonomous mathematical objects – categories of categories are perfectly acceptable autonomous objects and thus, in particular, suitable for foundational purposes.

2003 ◽  
Vol 28 (4) ◽  
pp. 63-76 ◽  
Author(s):  
S Ramnarayan

This paper uses a simple system of classification for examining mindsets of middle level officers in government organizations. It proposes that a middle level officer may assume or take on a spectator mindset or an actor mindset. With a spectator mindset, the person may pick up a signal from the environment or get an idea for improvement but he/she does not act on that learning or insight. As a result, organizational learning does not occur and this is reflected by organizational inaction or inappropriate action. On the other hand, with actor orientation, the individual acts on his/her learning and this leads to the right organizational action. This paper proposes that spectator orientation is rooted in four major factors: organizational characteristics nature of relations with superior the way work is performed the nature of middle management role. When the organization is perceived as conflict-ridden, rule bound, having too many free-riders and not oriented to customer and stakeholder requirements, there is a tendency for spectator mindset to predominate. This mindset also results in hierarchical, impersonal, and non-appreciative relations with superior. The third factor that leads to spectator mindset is the way work is performed. When the emphasis is more on performing activities in a ritualistic mode rather than to have impact and when there is inadequate attention to linkage, integration, and people management issues, spectator mindset is more likely. Finally, the nature of roles at operating levels such as fragmentation and segmentation of functions and excessive preoccupation with fix-it type of activities can lead to spectator orientation. Any attempt to change the mindset has to therefore address these four important factors. This paper reviews some change experiments and experiences in governmental organizations in India to propose two broad approaches to bring about organizational and mindset changes: Transformational approach which aims to bring about new strategy, management processes, and approaches by creating a new equilibrium for the organization. Continuous improvement approach which focuses on small doses of incremental changes that affect only part of the organization by modifying ways and means of doing work. It builds on the efforts of organizational members. This paper discusses these two approaches in some detail and examines the factors that are critical for the success of each of these approaches. It looks at how these approaches can also complement and strengthen each other. There can be no two opinions on how important it is to change mindsets in government organizations. This paper is an attempt to review some recent change experiences to shed some light on this important issue.


2019 ◽  
Vol 28 (1) ◽  
pp. 154-171
Author(s):  
Samet Caliskan ◽  
Saliha Oner

It is a highly advocated view that a competition law with sanctions targeting individuals would achieve a greater deterrent impact than one that does not. Having introduced individual sanctions does not, however, guarantee that a market would have less anticompetitive conduct, because these sanctions are effective only insofar as they are severely implemented on wrongdoing individuals. UK competition law is one example of this issue because cases where individuals have been targeted and punished are significantly fewer than the authorities expected, in spite of it being more than 15 years since individual sanctions were introduced amidst high expectations. This article examines the individual sanctions of competition law in the UK and Turkey. It argues that Turkey is on the right path by departing from the way in which EU law enforces the rules of competition law, and is moving closer to UK law. However, it is argued that further steps should be cautiously considered to avoid the same issues which UK competition law is currently experiencing, as there are serious doubts that the latter has achieved the desired deterrent effect.


2017 ◽  
Vol 64 (2) ◽  
pp. 207-216
Author(s):  
Luca Castagnoli

As A. K. Cotton acknowledges at the beginning of her monograph Platonic Dialogue and the Education of the Reader, ‘the idea that a reader's relationship with Plato's text is analogous to that of the respondent with the discussion leader’ within the dialogue, and ‘that we engage in a dialogue with the text almost parallel to theirs’, ‘is almost a commonplace of Platonic criticism’ (4). But Cotton has the merit of articulating this commonplace much more clearly and precisely than is often done, and of asking how exactly the dialogue between interlocutors is supposed to affect the dialogue of the reader with the text, and what kind of reader response Plato is inviting. Not surprisingly, her starting point is Plato's notorious (written) concerns about written texts expressed in the Phaedrus: ‘writing cannot contain or convey knowledge’, and will give to the ‘receiver’ the mistaken perception that he or she has learned something – that is, has acquired knowledge – from reading (6–7). She claims that the Phaedrus also suggests, however, that a written text, in the right hands, ‘may have a special role to play in awakening the soul of its receiver towards knowledge’ (17). I have no doubt that Plato thought as much, but Cotton's reference to the language of hupomnēmata at 276d3, and to the way in which sensible images act as hupomnēmata for the recollection of the Forms earlier in the dialogue, fails to support her case: Socrates remarks in that passage that writings can serve only as ‘reminders’ for their authors (16). The book's central thesis is that the way in which writing can awaken the reader's soul ‘towards knowledge’ is not by pointing the reader, however indirectly, implicitly, non-dogmatically, or even ironically, towards the right views, but by developing the reader/learner's ‘ability to engage in a certain way’ in dialectical inquiry (26). The familiar developments between ‘early’, ‘middle’, and ‘late’ dialogues are thus accepted but seen as part of a single coherent educational project towards the reader's/learner's full development of what Cotton calls ‘dialectical virtue’. Plato's reader is invited to treat the characterization of the interlocutors within the dialogues, and the description of their dialectical behaviour, ‘as a commentary on responses appropriate and inappropriate in the reader’ (28). Cotton's programme, clearly sketched in Chapter 1, is ambitious and sophisticated, and is carried out with impressive ingenuity in the following six chapters (the eighth and final chapter, besides summarizing some of the book's conclusions, introduces a notion of ‘civic virtue’ which does not appear to be sufficiently grounded on the analyses in the rest of the book). An especially instructive aspect of her inquiry is the attention paid to the ‘affective’ dimension of the interlocutor's and reader's responses: through the representation of the interlocutors in his written dialogues, and the labours to which he submits us as readers, Plato teaches us that ‘the learner's engagement must be cognitive-affective in character; and it involves a range of specific experiences, including discomfort, frustration, anger, confusion, disbelief, and a desire to flee’ (263). Perhaps because of her belief that what the Platonic dialogues are about is not philosophical views or doctrines but a process of education in ‘dialectical virtue’, Cotton has remarkably little to say concerning the psychological and epistemological underpinnings of the views on, and methods of, education which she attributes to Plato. The Cave allegory in the Republic, which is unsurprisingly adopted as an instructive image of Plato's insights on learning and educational development in Chapter 2, is discussed without any reference to the various cognitive stages which the phases of the ascent in and outside the Cave are meant to represent. Two central features of Plato's conception of learning identified by Cotton – the individual learner's own efforts and participation, and the necessity of some trigger to catalyse the learning process (263) – are not connected, as one might well have expected, to the ‘theory of recollection’ or the related imagery of psychic pregnancy or Socratic midwifery. Even Cotton's laudable stress on the ‘affective’ aspects of the learning process could have been helpfully complemented by some consideration of Platonic moral psychology. Despite these reservations, and the unavoidable limitations and oversimplifications involved in any attempt to characterize Plato's corpus as one single, unified project, I believe that readers with an interest in Platonic writing and method will benefit greatly from Cotton's insightful inquiry.


2021 ◽  
Vol 9 (03) ◽  
pp. 336-339
Author(s):  
Raju Roy ◽  

Value education is inextricably linked to every step of our life. It helps in the manifestation of the personality and character of an individual and makes a good citizen. Citizens with values produce a peaceful society. But the question arises how values can develop? Usually, educational institutes are one of the platforms where values are being imparted among the students which are really important. The purpose of the article is to understand the importance of scriptures for the development of human values. Various scholars have mentioned that scriptures increase positivity among the individual. The ancient scriptures like Bhagavat Gita, Upanishad and Patanjali Yoga Sutra, etc. rightly indicating the way of inculcating values.The scriptures knowledge awaken humanity within children, show the right path in life, make them honest, hardworking, courageous, and remove violence from society, establish peace, and remove the religious bigotries.Therefore, need to understand ancient scriptures and incorporate it into our educational curriculum.


2021 ◽  
Vol 46 (2) ◽  
pp. 79-91
Author(s):  
Monika Sidor

This article deals with different aspects of space in the text of Eugene Vodolazkin’s novel Brisbane as well as in its studies and reception. Successive parts of the research are devoted to lieux de mémoire in autobiographical fiction, cultural understanding of the space of the home and places which traditionally create the image of Kiev and the individual mythology of this city. Space perceived in the way modified by culture is a certain frame in which both the hero of Vodolazkin lives and a receiver reads the novel. It is also an important component of the work’s internal structure, the factor responsible for certain genre associations that determine the direction of the reading process. In all these forms of functioning, space is thematically related to the reflection on death. The author concludes that the understanding of space leads to the rejection of the physical future and the affirmation of eternity understood in a religious way, in line with medieval tradition.


1972 ◽  
Vol 7 (1) ◽  
pp. 96-99 ◽  
Author(s):  
H. Bohman

We will in this paper consider the risk process from the point of view of random walk in one dimension. The particle starts out at the origin. Each claim is equivalent to a step in the random walk. The length of the step is equal to the amount of the claim minus the amount of the premium which has been obtained since the preceding claim. If the difference is positive the particle advances to the right and if the difference is negative to the left. At distance U to the right from the origin there is a barrier. The problem is to find the distribution function of X, the time it takes the particle to cross the barrier for the first time.In most practical applications of risk theory U is large in comparison to the individual steps of the particle. We will in this paper assume that U is large in comparison to the individual steps and draw certain conclusions about the risk processes from this assumption.The individual steps of the particle have a certain distribution. The corresponding characteristic function is ϕ. For reasons which will be seen later we will consider ϕ to be a function of it = θ instead of t. This means thatThe mean value and the standard deviation of each step is equal to m and σ respectively. We now writeWe now define two random variables X and Y.X = time to cross the barrier for the first timeY = X σ2/U2.


2020 ◽  
Vol 4 (3) ◽  
pp. 69-73
Author(s):  
Ilir QABRATI

From the views and changes that have followed the dynamism of our society, undoubtedly, law and justice have played a crucial role as a very abstract term that has been consumed almost from the first beginnings of human society to our modern days. Beyond the events and circumstances that societies in the past have had and organized by defining and choosing the way of life, and often times the right has been personalized by a certain group of people, or by a military division that has given rights and has created justice, in certain interests and for personal and charismatic purposes it has been denied a certain part of society, and has often been deformed in scandalous ways by reflecting, on the fact that the giver of this right has often been pointed out to be the man, but this convulsion in no case has lasted long, and often this theory has remained unrealized, reflecting that right is something natural and that the individual gains at the moment of birth and enjoys it to death, this divergence and complexity of the way of perceiving the law has often resulted in wars and the acquisition of this vital right.  Through this paper we will draw philosophical and legal paradigms, analyzing from a retrospective way of the application of law and the applicability of justice, as an important mechanism of regulation of social relations.  Law and justice have a common path of development, one by regulating the way of life of the people, that is, by issuing norms and the other by giving justice to the relative complexity and cohesion of interpersonal relations. 


Author(s):  
Richard E. Hartman ◽  
Roberta S. Hartman ◽  
Peter L. Ramos

The action of water and the electron beam on organic specimens in the electron microscope results in the removal of oxidizable material (primarily hydrogen and carbon) by reactions similar to the water gas reaction .which has the form:The energy required to force the reaction to the right is supplied by the interaction of the electron beam with the specimen.The mass of water striking the specimen is given by:where u = gH2O/cm2 sec, PH2O = partial pressure of water in Torr, & T = absolute temperature of the gas phase. If it is assumed that mass is removed from the specimen by a reaction approximated by (1) and that the specimen is uniformly thinned by the reaction, then the thinning rate in A/ min iswhere x = thickness of the specimen in A, t = time in minutes, & E = efficiency (the fraction of the water striking the specimen which reacts with it).


2001 ◽  
Vol 209 (2) ◽  
pp. 105-117 ◽  
Author(s):  
Thomas Kleinsorge ◽  
Herbert Heuer ◽  
Volker Schmidtke

Summary. When participants have to shift between four tasks that result from a factorial combination of the task dimensions judgment (numerical vs. spatial) and mapping (compatible vs. incompatible), a characteristic profile of shift costs can be observed that is suggestive of a hierarchical switching mechanism that operates upon a dimensionally ordered task representation, with judgment on the top and the response on the bottom of the task hierarchy ( Kleinsorge & Heuer, 1999 ). This switching mechanism results in unintentional shifts on lower levels of the task hierarchy whenever a shift on a higher level has to be performed, leading to non-shift costs on the lower levels. We investigated whether this profile depends on the way in which the individual task dimensions are cued. When the cues for the task dimensions were exchanged, the basic pattern of shift costs was replicated with only minor modifications. This indicates that the postulated hierarchical switching mechanism operates independently of the specifics of task cueing.


Author(s):  
Linda MEIJER-WASSENAAR ◽  
Diny VAN EST

How can a supreme audit institution (SAI) use design thinking in auditing? SAIs audit the way taxpayers’ money is collected and spent. Adding design thinking to their activities is not to be taken lightly. SAIs independently check whether public organizations have done the right things in the right way, but the organizations might not be willing to act upon a SAI’s recommendations. Can you imagine the role of design in audits? In this paper we share our experiences of some design approaches in the work of one SAI: the Netherlands Court of Audit (NCA). Design thinking needs to be adapted (Dorst, 2015a) before it can be used by SAIs such as the NCA in order to reflect their independent, autonomous status. To dive deeper into design thinking, Buchanan’s design framework (2015) and different ways of reasoning (Dorst, 2015b) are used to explore how design thinking can be adapted for audits.


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