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These opportunities are subject of discussion in numbers of research papers in area of auditing research. These scientific disciplines mentioned by Penno are all related with the qualitative research method. Research in auditing is concerned with the measure of the quality of audit performance, the procedures and the professional ethics that must be followed in the conduct of an audit. The disciplines traditionally foreign to auditing research that employs the qualitative research methods, such as the Ethnography and Cultural Anthropology are now considered as benefitial for the dynamics of auditing research.

In the spirits of advocating this qualitative methodology, it is not surprising that these two disciplines are directed to the auditing research.

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Christopher Koch and Prof. The aim of this article is to contribute to the empirical resolution of various issues within the typology of auditing research, and to enhance the quality and synergie of audit dynamics. Kiabel, Elizabeth I Ugoji, N. Christopher Koch, Prof. In accordance with the proponents of the German school of thought or the relativist approach, I am viewing the research in social and management sciences as research that involves the investigation and interpretation of the social world using qualitative techniques in the analysis of data.

The qualitative quantity research method is an enhanced implementation of the qualitative research methods including as well the implementation of the quantitative research methods. The amalgama of qualitative and quantitative research methods is recognazied in the filds of studies such as the visual mathematics, visual statistics, cognitive science and AI. The qualitative research approach widely used by researchers in anthropology and sociology involves a situation where the researcher takes active part in activities involving the phenomenon under investigation.

Ethnography approach is widely used by researchers in cultural anthropology. Topological approach in cultural anthropology and ethnography is supported by the British social anthropologist Edmund Leach, Claude Levi-Strauss, Gregory Bateson. This discussion is rich with philosophical assumptions related with ontology and epistemology, touching some issues which we may regard as cultural phenomenology. The kind of ontologies, epistemologies and nature of human beings determines the type of methodology one adopts in social inquiry.

Both quantitative and qualitative research approaches are rooted in phenomenal experience, and in this sense both are empirical. They share a common ground. Most quantitative projects possess qualitative elements, and vice versa. The general definition of an audit is an evaluation of a person, organization, system, process, enterprise, project or product and the mode of dialectics of qualitative quantity due to the gradualness as notion of the exhibit form of this category is the mode of the evolution.

The topological notion of qualitative quantity is the notion of gradualness representing continuous transformation. In the context of cultural phenomenology I am approaching the the audit and auditing research as an dynamic system, examinating this system from the standpoint of dialectics and self-organisation. Johnson and Onwuegbuzie viewed the pragmatism as an attractive philosophical partner for mixed methods research, and framework for designing and conducting mixed methods research.

Providing an excellent 8 Dunn, D. Burke Johnson and Anthony J. The proposition of qualitative quantity method of research is the foundation of the topological approach to dynamics of research culture. Although both qualitative and quantitative philosophies continue to be highly useful the advantage of the philosophy of qualitative quantity is laid by the topological notion of this category and method. The structure of scientific revolutions.

Lemke introduced the mixed-mode Semiosis - Typological vs. Topological Semiosis. Lemke, Typological vs. Topological Semiosis 18—.

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Qualitative character of typological semiosis determines the discrete variant and Quantitative character of topological semiosis and the continuous variation. Topological Semiosis —. Ian Flett and Donald H. Towards a Systemological Philosophy of Science with Practice. Since Aristotle, the organization of knowledge is based on the conceptualization, classification, typology or taxonomy. Typology is instrument of hierarchical system. Topology of research topics in a specific area of research in research culture is instrument of heterarchical relation of types in the the dynamics of research culture.

The semiotic bridge in qualitative vs quantitative debate is Qualitative quantity — the categorical gradiant which unite in one these two fundamentally different kinds of 19 Donald H. Ian, and Donald H. The proposed qualitative quantity method of research is not opposing the pragmatism of Charles Sanders Peirce, William James, and John Dewey or postpragmatism school of though. Something more, the category of Qualitative quantity and the exhibit form of this category - topological notion - could be seen and unfold in the works of Charles Sanders Peirce.

Qualitative quantity — Topology and Topological Dynamics 2. The second law of dialectics, the law of transformation, established by Engels is the law of the passage of quantitative changes into qualitative changes. This law states that continuous quantitative development results in qualitative "leaps" in nature whereby a completely new form or entity is produced. This is how "quantitative development becomes qualitative change". The new quality develops quantitatively through a step-by-step process of quantitative change, qualitative changes begin with the quantitative introduction of the new quality into the quantitative development of the old measure.

Qualitative changes occur as leaps. The three laws of dialectics are not only oversimplified, but also misleading at best, establishing something quite self-evident, trivial and commonplace. Approaching the domain of topology from the standpoint of the dialectics of qualitative quantity, we should conclude that the interplay of quality and quality is associated with the development and growth. Both the classical and non-classical approaches to the dialectics of quality and quantity are addressing the dialectical nature of change.

The known quality, from the second law of dialectics, defined by Hegel as determined quality, implies discontinuous change, a leap, and the transformation is discursive. The exhibit form of determined quality is abrupt displacements in the equilibrium - revolution. The quality of the quantity implies gradual and continuous changes, and transformation is non-discursive. The exhibit form of qualitative quantity is transformation without leap or abrupt displacements in the equilibrium - evolution.

But in their truth, seeing that the quantitative itself in its externality is relation to self, or seeing that the independence and the indifference of the character are combined, it is Measure. When Measure concludes, we will have arrived at the portal of the negative, correlative underworld of shadowy Essence. We can nevertheless describe the theme of Measure easily enough--change; more precisely, an exploration of the difference between qualitative and quantitative change.

Similarly with the gradual disappearance of something, the non- being or other which takes its place is likewise assumed to be really there, only not observable, and there, too, not in the sense of being implicitly or ideally contained in the first something, but really there, only not observable. It seems that qualitative quantity is ignored because of its notion of gradualness and lack of ability to leap as quality per saltum. Thus the idea of quality was found to be partial, and when developed to its utmost limit, carried our thought over into the sphere of quantity. Then the idea of quantity when fully developed brought us back again to that of quality.

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Is the movement of thought only a circle that merely brings us back to the starting-point? This relation Hegel calls that of qualitative quantity, or of measure das Maass. This is the third and last stage in the development of the idea of quantity, and represents, as Hegel insists, both the unity and the truth of quality and of quantity combined. If there are two realms, that of tautology whose essence is predictable repetition and replication and that of evolution whose essence is creativity, exploration and change , then life entails an alternation, a dialectics, between the two.

As mental processes and phenomenal happenings the two may be adversarial, but a zigzag between them whereby each determines the other would appear to be necessary for the continuation of life. The new form of knowledge is generated by a principled mapping of a description of a phenomenon onto a tautology. Bateson calls them evolutionary versus tautological: an embracing of the implications and ramifications of possible change versus a homeostatic eschewing of them. The watchwords of the latter tautological process also to be known as 'epigenetic' and 'embryological' are: coherence, steady state, rigour and compatibility.

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The process acts as a critical filter, demanding certain standards of conformity in the perceiving and thinking individual. Left to itself it proceeds towards tautology: towards nothing being added once the initial arbitrary axioms and definitions of order have been laid down. Hence, the first test of a new idea is: is it consistent with the status quo ante? London: Fontana, In the tautological procedure, in short, every 'becoming' is tied back to existing conditions.

The resurgence of G. Peirce Society, Vol. The topology and topological thinking is now undergoing a resurgence, with some highly practical research and applications.

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The new area of interdependence between the quality and quantity is open now for rethinking and re- conceptualization. Whitehead articulated in several books and articles he published between and Mereotopology is a branch of metaphysics, and ontological computer science, a first-order theory, embodying mereological and topological concepts, of the relations among wholes, parts, parts of parts, and the boundaries between parts.

New York: McGraw-Hill. Topology Topology is a major area of mathematics concerned with properties that are preserved under continuous deformations of objects, such as deformations that involve stretching, but no tearing or gluing. In topology, any continuous change which can be continuously undone is allowed. These two processes are continuous in the sense that during each of them, nearby points at the start are still nearby at the end. In topology we can transform a spatial body such as a sheet of rubber in various ways which do not involve cutting or tearing.

We can invert it, stretch or compress it, move it, bend it, twist it, or otherwise knead it out of shape. Certain properties of the body, the properties of the qualitative quantity, will in general be invariant under such transformations - which is to say under transformations which are neutral as to shape, size, motion and orientation. The qualitative quantity transformations can be defined as being those which do not affect the possibility of our connecting two points on the surface or in the interior of the body by means of a continuous line.

Our world is undergoing profound change due to the advanced research in topology and significant importance of topological thinking and topological meaning making. Topology itself is the science of the change. Topology is extremely applicable to the complex dynamics systems.