• Title/Summary/Keyword: whitehead

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The Rhythm of Education in Mathematics Education (수학교육에서 살리는 '교육의 리듬')

  • Cha Joo-Yeon
    • 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.

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SOME FORMULAS FOR THE GENERALIZED HARDIE-JANSEN PRODUCT AND ITS DUAL

  • Oda, Nobuyuki;Shimizu, Toshiyuki
    • Journal of the Korean Mathematical Society
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    • v.36 no.3
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    • pp.527-544
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    • 1999
  • The generalized Hardie-Jansen product and its dual are defined and the fundamental results on these products are obtained. By studying the adjoint maps, we give proofs to them. Moreover we characterize the generalized Hardie-jansen product making use of the ${\Gamma}W$-Whitehead product. We also obtain a characterization of the dual of the generalized Hardie-Jansen product using $({\Gamma}W)$-Whitehead product.

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화이트헤드의 철학과 수학 교육

  • Yu, Chung-Hyun;Kim, Hye-Kyung
    • 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.

Language and Symbolic Reference in Whitehead′s Philosophy (화이트헤드의 언어 이해와 상징적 연관)

  • 문창옥
    • 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.

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Whitehead's Concept of Proposition and Creative Advance of Nature (화이트헤드의 명제론 연구 - 화이트헤드의 명제론과 현실의 창조적 전진 -)

  • Chun, Chul
    • 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.

A study on lighting performance of 345[KV] model line (345[KV] 송전선로의 뇌방호 실패의 예측과 그 대책에 관한 연구)

  • 이봉용
    • 전기의세계
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    • v.29 no.1
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    • pp.65-72
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    • 1980
  • Arstrong-Whitehead theory on effective shielding and shielding failure is extended so that it is applicable to vertical line configuration the existing approaches on back-flash rate calculation are summerized and compared in particular on Model Line, and the usefulness of the whitehead approach is suggested.

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Trend of Whitehead's philosophy in Mathematical philosophy (화이트헤드 철학의 수학 철학적 경향)

  • Yu, Chung-Hyun;Kim, Hye-Kyung
    • 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.

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Lens Surgeries along the n-twisted Whitehead Link

  • Kadokami, Teruhisa;Maruyama, Noriko;Shimozawa, Masafumi
    • Kyungpook Mathematical Journal
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    • v.52 no.3
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    • pp.245-264
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    • 2012
  • We determine lens surgeries (i.e. Dehn surgery yielding a lens space) along the n-twisted Whitehead link. To do so, we first give necessary conditions to yield a lens space from the Alexander polynomial of the link as: (1) n = 1 (i.e. the Whitehead link), and (2) one of surgery coefficients is 1, 2 or 3. Our interests are not only lens surgery itself but also how to apply the Alexander polynomial for this kind of problems.

MODERN COSMOLOGY: ASSUMPTIONS AND LIMITS

  • Hwang, Jai-Chan
    • 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).