本文選題：數(shù)學(xué)史 + 數(shù)學(xué)現(xiàn)象學(xué)　； 參考：《遼寧大學(xué)》2016年碩士論文

【摘要】：埃德蒙德·胡塞爾作為現(xiàn)象學(xué)的創(chuàng)始人,其理論體系以宏大且精細(xì)而著稱(chēng)。胡塞爾一生都在致力于建立一種有別與傳統(tǒng)形而上學(xué)的“無(wú)預(yù)設(shè)”的哲學(xué),其核心問(wèn)題在于在“被給予性”的基礎(chǔ)上如何能達(dá)成哲學(xué)上應(yīng)有的超越。通過(guò)對(duì)于數(shù)學(xué)發(fā)展史和與現(xiàn)象學(xué)有關(guān)的理論背景的回顧,可以發(fā)現(xiàn)胡塞爾作為數(shù)學(xué)家和哲學(xué)家的雙重身份以及從最初就想要為數(shù)學(xué)進(jìn)行奠基的理論目標(biāo),而這與其在今后在哲學(xué)上的建樹(shù)息息相關(guān)。為此,本文著重考察了胡塞爾數(shù)學(xué)現(xiàn)象學(xué)綱領(lǐng)理論的生成歷史及其內(nèi)在結(jié)構(gòu),而這一結(jié)構(gòu)是胡塞爾整個(gè)現(xiàn)象學(xué)理論體系的核心,其“被給予性”與超越性的有機(jī)結(jié)合均在此結(jié)構(gòu)中得以體現(xiàn)。根據(jù)上述寫(xiě)作思路,本文分為四個(gè)主要部分：第一部分主要回顧了十九世紀(jì)與數(shù)學(xué)現(xiàn)象學(xué)理論以及現(xiàn)象學(xué)自身發(fā)生有關(guān)的幾何學(xué)發(fā)展背景,并介紹了在數(shù)學(xué)現(xiàn)象學(xué)以及現(xiàn)象學(xué)中加以借鑒的數(shù)學(xué)方法——公理化；第二部分主要介紹了十九世紀(jì)末和二十世紀(jì)初期間因悖論而產(chǎn)生的關(guān)于數(shù)學(xué)基礎(chǔ)的危機(jī),并介紹了在此基礎(chǔ)上所產(chǎn)生的三大數(shù)學(xué)學(xué)派以及哥德?tīng)栕C明對(duì)于三大學(xué)派爭(zhēng)論的最終回應(yīng),其目的是為了與胡塞爾的數(shù)學(xué)現(xiàn)象學(xué)在對(duì)待數(shù)學(xué)基礎(chǔ)問(wèn)題的態(tài)度上做出區(qū)分和對(duì)比;第三部分則主要討論了胡塞爾數(shù)學(xué)現(xiàn)象學(xué)的綱領(lǐng)結(jié)構(gòu)以及與其有關(guān)的問(wèn)題；第四部分則是在前面三部分討論的基礎(chǔ)上,以現(xiàn)象學(xué)中胡塞爾對(duì)于稱(chēng)謂的有關(guān)分析為例,試圖說(shuō)明被動(dòng)超越性的結(jié)構(gòu)與數(shù)學(xué)現(xiàn)象學(xué)的綱領(lǐng)結(jié)構(gòu)之間存在同構(gòu)性,以此在數(shù)學(xué)現(xiàn)象學(xué)結(jié)構(gòu)中突顯出被動(dòng)超越性,從而完成對(duì)于本文核心問(wèn)題的討論。
[Abstract]:As the founder of phenomenology, Edmund Husserl is famous for his grand and fine theoretical system. Husserl devoted his life to the establishment of a "no Presupposition" philosophy with different and traditional metaphysics. The core problem is how to achieve philosophical Transcendence on the basis of "being given". A review of the history of mathematics and the theoretical background related to phenomenology, we can find the dual identity of Husserl as a mathematician and a philosopher and the theoretical goal that he wanted to lay a foundation for mathematics from the beginning, which is closely related to its future philosophy. Therefore, this article focuses on the investigation of Husserl's phenomenological programme of mathematics. The history of theory and its inner structure are the core of Husserl's whole theory of phenomenology. The organic combination of "being given" and "transcendence" is embodied in this structure. This article is divided into four main parts according to the thinking of the above writing: the first part mainly reviews the nineteenth Century and the mathematical phenomenology. The theory and the background of the development of the geometry of phenomenology, and the mathematical method of mathematical phenomenology and phenomenology, which are used for reference, are introduced. The second part mainly introduces the crisis on the basis of the mathemaics caused by the paradox between the end of the nineteenth Century and the early twentieth Century, and introduces it on this basis. The three major schools of mathematics and the final response of Godel's proof to the argument of the three universities are to distinguish and compare with Husserl's mathematical phenomenology in the attitude towards the basic mathematical problems; the third part mainly discusses the framework of Husserl's mathematical phenomenology and its related issues. The fourth part, on the basis of the discussion in the first three parts, takes Husserl's analysis of appellation in phenomenology as an example, trying to explain the isomorphism between the structure of the passive transcendence and the program structure of mathematical phenomenology, which highlights the transcendence in the mathematical phenomenological structure, thus completing the core problem of this article. The discussion.

【學(xué)位授予單位】：遼寧大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2016
【分類(lèi)號(hào)】：O11;B516.52

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本文編號(hào)：1834173