• Title/Summary/Keyword: Mereology

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Controlling robot formations by means of spatial reasoning based on rough mereology

  • Zmudzinski, Lukasz;Polkowski, Lech;Artiemjew, Piotr
    • Advances in robotics research
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    • v.2 no.3
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    • pp.219-236
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    • 2018
  • This research focuses on controlling robots and their formations using rough mereology as a means for spatial reasoning. The authors present the state of the art theory behind path planning, robot cooperation domains and ways of creating robot formations. Furthermore, the theory behind Rough Mereology as a way of implementing mereological potential field based path creation and navigation for single and multiple robots is described. An implementation of the algorithm is shown in simulation using RoboSim simulator. Five formations are tested (Line, Rhomboid, Snake, Circle, Cross) along with three decision systems (First In, Leader First, Horde Mode) as compared to other methods.

The Ontological Conservativeness of Logic and Mereology (논리학의 존재론적 보수성과 부분전체론)

  • Kang, Soo-Whee
    • Korean Journal of Logic
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    • v.13 no.2
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    • pp.167-201
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    • 2010
  • This paper aims to scrutinize the possibility of mereology as philosophically satisfiable metalogic. Motivation for this is straightforward. As I see, a traditional approach to metalogic presented in the name of mathematical logic posits the existence of mathematical entities such as sets, functions, models, etc. to give definitions of logical concepts like logical consequence. As a result, whenever logic is used in any individual sciences, this set-theoretical metalogic cannot but add these mathematical entities to the domain of them. This fact makes this approach contradict to the ontological conservativeness of logic. Mereology, however, has been alleged to be ontologically innocent, while it is a formal system very similar to set theory. So it may well be that some people thought of mereology as a good substitute for set theoretic metalanguage and concepts for ontologically neutral metalogic. Unfortunately, when we look into argument for the ontological innocence of mereology, we can find that mereological entities such as mereological sums or fusions are not ontologically neutral. Thus we can conclude that mereological approach to metalogic is not promising at all.

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Hado and Russell's Paradox (하도(河圖)와 러셀 역설)

  • Kim, Byoung-Soo
    • Journal of Physiology & Pathology in Korean Medicine
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    • v.21 no.3
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    • pp.583-590
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    • 2007
  • The significance of Han medicine (韓醫學), the Korean traditional medicine, that has lasted throughout the past couple millenniums relies upon Han Philosophy distinguished by its uniqueness. In brief, the specificity of Han medicine is characterized by unity of spirit and body, part and whole. According to this theory, when curing a frozen shoulder, it is usually cured by acupuncturing the area around the part that aches, but also doing so on the area that is totally different from the aching part such as the opposite part of the body. In fact, this can be pursued only through aspects that enable one to realize the unity of part and whole, and a ground for this possibility bases upon the crux of Eastern Philosophy, I-ching(역), such as theory of Five Elements (음양오행) and Three Pillars(삼재). In Western set theory, the issues of Class(부류) and elements(요원), whole and part were independently discussed in the area of mereology, and the question of part and whole was encountered with aporia and paradox since Greek ancient philosophy. At the turn of this century, many philosophers endeavored to pursue academic inquiry to resolve this paradox, especially by Russell and Whitehead through ${\ll}$Principia Mathematica${\gg}$ at the beginning of this century. in the process, there came out a phrase 'Russell's Paradox'. Russell himself proposed a typological resolution as an answer to the inquiry. However, 'Russell's Paradox' still remains as an aporia even till present days. During medieval period, this inquiry was even considered as 'insolubia'. Throughout this paper, 1 attempt to provide an analytic aspect on 'Russell's Paradox' from an unique thinking method and perspective of Han medicine that embodies the concept of 'unity of part and whole'. To do so, 1 suggest a physiological model in the first place depicted by diagrams of Circle 원, Quadrangle 방, Triangle 각(CQT) that portray the logic of Hado or Hotu 하도 which is 'the pattern from the river Ho'. That is to suggest that CQT원방각 of Hado can De a logical foundation that explains the notions of spirit (정신,뇌), internal organs(장부), and meridian system which functions as a solution to the question of 'Russell's Paradox'. There are precedent academic works examining the issue from philosophical aspect such as Sangil Kim's ${\ulcorner}$Han medicine과 러셀역설 해의${\lrcorner}$ Han Medicine and Resolution of Russell's Paradox(2005), and this analysis will further attempt to critically examine such works from a perspective of Han medicine.