• Title/Summary/Keyword: 공리 V

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흄의 원리와 암묵적 정의

  • Choi, Won-Bae
    • Korean Journal of Logic
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    • v.10 no.2
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    • pp.23-46
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    • 2007
  • 이 논문의 목적은 "왜 프레게는 공리 V 대신 흄의 원리를 기본 원리로 삼지 않았을까?"라는 물음에 답하는 데 있다. 이 물음은 프레게 철학의 해석에 관한 물음이기도 하지만, 최근의 새로운 논리주의의 기획이 정당한가를 묻는 물음이 기도 하다. 이 물음에 답하기 위해, 나는 프레게 철학의 틀 안에서 흄의 원리를 공리로 삼는 방안과 정의로 삼는 방안을 차례로 살펴보았다. 우리 논의를 통해 흄의 원리를 공리로 간주하는 방안은 프레게의 논리주의 기획이나 공리관과 어울리지 않으며, 그것을 정의로 간주하는 방안 또한 그의 정의관과 어울리지 않는다는 점을 밝힌다. 나아가 흄의 원리를 기수 개념의 암묵적 정의로 간주하려는 시도가 해결해야 할 문제가 어떤 것인지를 규명하였다.

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A reconstruction of the G$\ddot{o}$del's proof of the consistency of GCH and AC with the axioms of Zermelo-Fraenkel set theory

  • Choi, Chang-Soon
    • Journal for History of Mathematics
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    • v.24 no.3
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    • pp.59-76
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    • 2011
  • Starting from a collection V as a model which satisfies the axioms of NBG, we call the elements of V as sets and the subcollections of V as classes. We reconstruct the G$\ddot{o}$del's proof of the consistency of GCH and AC with the axioms of Zermelo-Fraenkel set theory by using Mostowski-Shepherdson mapping theorem, reflection principles in Tarski-Vaught theorem and Montague-Levy theorem and the fact that NBG is a conservative extension of ZF.

Bioactivities and Isolation of Functional Compounds from Decay-Resistant Hardwood Species (고내후성 활엽수종의 추출성분을 이용한 신기능성 물질의 분리 및 생리활성)

  • 배영수;이상용;오덕환;최돈하;김영균
    • Journal of Korea Foresty Energy
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    • v.19 no.2
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    • pp.93-101
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    • 2000
  • Wood of Robinia pseudoacacia and bark of Populus alba$\times$P. glandulosa, Fraxinus rhynchophylla and Ulmus davidiana var. japonica were collected and extracted with acetone-water(7:3, v/v) in glass jar to examine whether its bioactive compounds exist. The concentrated extracts were fractionated with hexane, chloroform, ethylacetate and water, and then freeze-dried for column chromatography and bioactive tests. The isolated compounds were sakuranetin-5-O-$\beta$-D-glucopyranoside from Populus alba $\times$Pl glandulosa, 4--ethyoxy-(+)-leucorobinetinidin frm R. pseudoacacia and fraxetion from F. rhynchophylla and were characterized by $^1H$ and$^{13}C $ NMR and positive FAB-MS. Decay-resistant activity was expressed by weight loss ratio and hyphae growth inhibition in the wood dust agar medium inoculated wood rot fungi. R. pseudoacacia showed best anti-decaying property in both test and its methanol untreated samples, indicating higher activity than methanol treated samples in hyphae grwoth test. In antioxidative test, $\alpha$-tocopherol, one of natural antioxidants, and BHT, one of synthetic antioxidants, were used as references to cmpare with the antioxidant activities of the extacted fractions. Ethylacetate fraction of F. rhynchophylla bark indicated the hightest activity in this test and all fractions of R. pseudiacacia extractives also indicated higher activities compared with the other fractions. In the isolated compounds, aesculetin isolated from F. rhynchophylla bark showed best activity and followed by robonetinidin from R. pseudoacaica.

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