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    《易經》與畢達哥拉斯數學美學比較(5)

    發布時間: 2019/7/11 0:44:31 被閱覽數: 次 來源: 論文聯盟
    文字 〖 〗 )
    稱。另一種情況則提供了說明,技術上需要將對稱和諧的兩部分安排得橫式多于豎式。”(注19)   
      瑪克斯·德索又說:由于“心理方面的理由。我們知道,一種視力幻覺使我們看不出垂直對稱兩部分的對等。假若我們把一條垂直的直線分成對等的兩個部分,我們一般都把上‘半部分’看得太小,因為我們過分估計了分界點以上的部分。注20)   
      弗朗茲·博厄斯在他的名著《原始藝術》中亦談過類似觀點:“對稱普遍表現為左右相對”,“有節奏的重復(按:即整齊一律)大多體現在橫帶的花紋上”。   
      瑪克斯·德索的研究和弗朗茲·博厄斯的論述使我們想到:西方人更重視整齊對稱之美,中國人更重視參差變化之美——這種審美心理差異,會不會是由于各自觀察宇宙(自然)的視角和方式不同而引起的呢?即一個是習慣于“橫”著看宇宙,一個是習慣于“豎”著看宇宙呢?——我們這里說的“橫”著看宇宙和“豎”著看宇宙,當然不是指生理上的視野的實際差異,而是說在西方人和中國人的思維中,其“宇宙視角”不同。這樣的設想由很多現象誘發并佐證:   
      首先,我們想到了西方與中國文字符碼排列的區別:西方是“橫”式的,中國是“豎”式的。這種區分由來已久,今存古希臘“邁錫尼時代線形文字B”,即是橫排的。“邁錫尼時代線形文字B”凡三排,每行中間還隔有如橫行信箋狀的很規整的“橫”線(注21)。我國最早的文字——殷墟甲骨卜辭,均是標準的豎排文字,這種區分應當說是很有深義的。語言文字作為人類智慧和思維的物化態,它不只是一種書寫符號、不只是一種人類表情達意的工具而已,它還應是人類心靈中宇宙空間“形狀”的反映。它的排列組合方式,決非偶然,這表現出宇宙空間在人的思維中的座標位置序列的不同。   
      其次,在西方人和中國人的繪畫透視上,更是直接地表現出了“橫”與“豎”的差異。宗白華先生對此作過十分精妙的比較,他指出:西方“近代繪風更由古典主義的雕刻風格進展為色彩主義的繪畫風格,雖象征了古典精神向近代精神的轉變,然而它們的宇宙觀點仍是一貫的,即‘人’與‘物’,‘心’與‘境’的對立相視”。“而這物、我對立的觀點,亦表現于西洋畫的透視法。西畫的景物與空間是畫家立在地上平視的對象”;而“中國畫的透視法是提神太虛,從世外鳥瞰的立場觀照全整的律動的大自然”。“西洋畫因系對立的平視,故多用近立方形的橫幅以幻現自近至遠的真景”。“中國畫因系鳥瞰的遠景,其仰眺俯視與物象之距離等,故多愛寫長方立軸以攬自上至下的全景”。   
      第三,在國家觀念上,西方人和中國人也表現出“橫向”與“縱向”思維的不同。古希臘羅馬人缺乏那種由古及今、從上而下的國家血緣宗親觀念,崇橫向聯合,后來終于分化為許多互相并列的小國家;而中國人則國家血緣宗親觀念特別強烈,崇縱向淵源,故能保持四千年文明史而不中斷。   
      此外,在政治觀念、倫理觀念上,西方人和中國人思維上的“橫向”與“縱向”的區別,也是很明顯的。對此論者頗多,此不贅述。   
      由此可見,西方人和中國人確實存在一個“宇宙視角”的差異問題。由于這種“宇宙視角”的差異,西方人更多地是“橫”著把握審美對象,中國人則更多地是“豎”著把握審美對象。因而——依照瑪克斯·德索的研究——西方人在審美過程中多獲得“對稱和諧”的快感,中國人在審美過程中多獲得參差變化的愉悅。久而久之,西方人則形成了對“對稱和諧”美的偏愛,而中國人則形成了對參差變化美的偏愛。畢達哥拉斯數學美學原則和《易經》數學美學原則,正是對各自民族審美思維特性的最早的數學把握。作為一種文化源頭,它們反過來又潛在地作用于各自民族的審美心理傾向及藝術趣味,從而使西方文藝和中國文藝呈現出不同的數學美學特征與藝術精神。
    編輯:秋痕

    《易經》與畢達哥拉斯數學美學比較(4)
    《易經》與畢達哥拉斯數學美學比較(6)

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