• East Asian mathematical journal
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• v.25 no.3
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• pp.399-413
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• 2009

Whitehead's philosophy is evaluated as an applicable philosophy and an accurate, logical explanation system about the world through mathematics. Whitehead's ideological development can be divided into mathematical research, critical consciousness about sciences and philosophical exploration. Although it is presented as a whole unified conceptual framework to understand nature and human beings which is based on modern mathematics and physics in the 20th century, Whitehead's philosophy has not been sufficiently understood and evaluated about the full meaning and mathematics educational values. In this paper, we study relations of Whitehead's philosophy and the mathematical education. Moreover, we study implicity of mathematical education.

• Journal for History of Mathematics
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• v.22 no.4
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• pp.97-114
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• 2009

Whitehead is a greatest mathematical philosopher who expanded mathematical concepts and method in philosophy. In view of Whitehead that he emphasizeson metaphysical perspective, mathematical truth and empirical connection of reality, it explicates that it tends to empiricism and rationalism of mathematical philosophy. In this paper, we try to research his unique perspective of mathematical philosophy. His perspective on organic philosophy is combination of empiricism trend and rationalism trend of mathematical philosophy.

• Lingua Humanitatis
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• v.6
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• pp.147-166
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• 2004

Whitehead's discussion of language is not to be found in any one book or article. It is interwoven with his discussion of many other questions. He was, however, greatly concerned with the problem of symbolism in general and the uses of language. He regards language, spoken or written, as an instrument devised by men to aid them in their adjustment to the environment in which they live Language is used for many specific purposes in the process of this adjustment. Words are employed not only to refer to data and to express emotions. They may be used also to record experiences, and thoughts about these experiences. Worts also function as instruments in the organization of experiences as they are considered in retrospect. Thus words free us from the bondage of the immediate. And Whitehead's theory of meaning is implicit in his discussion of the functions of language. According to him, the human mind is functioning symbolically when some components of its experience elicit consciousness, beliefs, emotions, and usages, respecting other components of its experiences. The former set of components are the 'symbols', and the latter set constitute the 'meaning' of the symbols. Whitehead points out that one word may have several meanings, i.e. refer to several different data. In order to understand, thus, the meaning to which a word refers, it is sometimes very important to appreciate the system of thought within which a person is operating. Further, Whitehead's discussion of language includes a number of cogent warning the deficiencies of language, and hence the need for great care in the use of words. In fact, language developed gradually. For the most part we have created words designed to deal with practical problems. Attention focuses on the prominent features in a situation, in particular the changing aspects of things. With reference to such data our words are relatively adequate. However, this issues in an unfortunate superficiality. The enduring, the subtle, the complex and the general aspects of the universe do not have adequate verbal representation. for this reason, Whitehead's position concerning the uses of language in speculative philosophy is stated with pungent directness. The uncritical trust in the adequacy of language is one of the main errors to which philosophy is liable. Since ordinary language does not do justice to the generalities, profundities and complexities of life, it is obvious that philosophy requires new words and phrases, or at least the revision of familiar words and phrases. Proceeding to develop the theme Whitehead contends that words and phrases must be stretched towards a generality foreign to their ordinary usage. In the same vein Whitehead refers to the need to realize that language which is the tool of philosophy needs to be redesigned just as in physical science available physical apparatus needs to be redesigned. But even these words and phrases, stretched or redesigned, are never completely adequate in philosophical speculations. They are, in his opinion, merely a great improvement over ordinary language or the language science, mathematics or symbolic logic.

• School Mathematics
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• v.7 no.4
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• pp.375-389
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• 2005

Whitehead proposed that the education proceed through the rhythmic cycle on the basis of his metaphysical philosophy and educational philosophy. 'The Rhythm of Education' means that the intellectual levels of learners are elevated through the rhythmic cycles of stages of romance, precision, and generalization over and over again. As a result of these cyclic repetitions, the learners become truly free of inner prejudice. This study is to seek a method to apply Whitehead's proposition to mathematics education. I devise the curriculum constructing methods to experience Whitehead's three stages meaningfully, the teaching methods interplaying freedom and discipline rhythmically, and the teaching examples which adopt all these.

• Journal of The Korean Astronomical Society
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• v.45 no.3
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• pp.65-69
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• 2012

Physical cosmology tries to understand the Universe at large with its origin and evolution. Observational and experimental situations in cosmology do not allow us to proceed purely based on the empirical means. We examine in which sense our cosmological assumptions in fact have shaped our current cosmological worldview with consequent inevitable limits. Cosmology, as other branches of science and knowledge, is a construct of human imagination reflecting the popular belief system of the era. The question at issue deserves further philosophic discussions. In Whitehead's words, "philosophy, in one of its functions, is the critic of cosmologies". (Whitehead 1925).

• Journal of Korean Philosophical Society
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• v.116
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• pp.351-370
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• 2010

Whitehead's metaphysics and philosophy of nature rest on his awareness of the metaphysical problem of the relation between "I", the "creative advance" and forces of the universe. Whitehead attempted to systematize human experience of the world based on logical explorations. In this context it is important to note that his discussion of proposition and language is closely connected with his works on a systematic theory of nature. Whitehead proposes a metaphysical concept of proposition also based on the creative advance of the universe. His theory of proposition is designed to show that human language is constructions of the relations between logical and real events in the creative universe which refer to a particular point of view. In this view, a variety of verbal possibilities in the multiple worlds can be realized in the same proposition. For Whitehead the emergence of novelty in the function of proposition is an essential property of the creative universe. This paper will try to give a discussion to Whitehead's theory of proposition with regard to the emergence of nature. Especially I emphasize in this paper Whitehead's idea and meaning of proposition for the development of the creative advance of nature as one aspect of particular importance.

• Korean Institute of Interior Design Journal
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• v.19 no.2
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• pp.90-98
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• 2010

The concepts of laws like regularity or persistence or recurrence those are discovered in nature, became the essential elements in speculative philosophy, study and scientific technology. Western civilization was spread out by these natural laws. As this background, this study is aimed to research the theories of natural laws and the development of geometry as the descriptive tools and the development aspects of the concepts of space. According to Whitehead's four theories on the natural laws, the result of this study that aimed like that as follows. First, the theories on the immanence and imposition of the natural laws were the predominant ideas from ancient Greek to before the scientific revolution, the theory on the simple description like the positivism made the Newton-Cartesian mechanism and an absolutist world view. The theory on the conventional interpretation made the organicism and relativism world view according to non-Euclidean geometry. Second, the geometrical composition of ancient Greek architecture was an aesthetics that represented the immanence of natural laws. Third, in the basic symbol of medieval times, the numeral symbol was the frame of thought and was an important principal of architecture. Fourth, during the Renaissance, architecture was regarded as mathematics that made the order of universe to visible things and the geometry was regarded as an important architectural principal. Fifth, according to the non-Euclidean geometry, it was possible to present the natural phenomena and the universe. Sixth, topology made to lapse the division of traditional floor, wall and ceiling in contemporary architecture and made to build the continuous space. Seventy, the new nature was explained by fractal concepts not by Euclidean shapes, fractal presented that the essence of nature had not mechanical and linear characteristic but organic and non-linear characteristic.

• 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.

• Journal of the Korean housing association
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• v.16 no.2
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• pp.55-65
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• 2005

'Movement System' is made of the interaction of user and architectural spaces related to each other in order. 'Movement' meant in movement system is possible only in the status of user and architectural space together. Movement created and disappeared by the user is not subordinated to the existing architectural space but becomes the main element of formating movement system. It is required that movement conception applied to architecture should be derived from the essence of movement and this study presents the movement system. To explain the formating process of movement system, A. N. Whitehead's process philosophy theory is at the basis and transformed in architectural aspects. On basis of these theoretical backgrounds, the process of making movement system can be explained. There are unit movement, unit object, and elements for movement process as the basic requirements for movement system, each unit is apprehended by individual operation and the nexus is composed by associative operation of apprehended units. This nexus becomes the object of a new subject and forms multiple nexus. Relation of unit movement and unit object and nexus are apprehended as the continuation and extensive continuum is made. At that time, movement with multiple phases set inbetween systems and extended multiplied. Through above study, movement system is applied to Korean traditional houses.