mathematical philosophy 中文意思是什麼

On mutually - inversistic mathematical philosophy and oriental exact science

試論互逆主義數學哲學與東方精確科學

Poincare ' s criticism on " the expected reason ", justification for the existence of mathematical object and opposition to the postulate of real infinite provide the developmental approach for the intuitionism in philosophy of mathematics

摘要彭加勒對邏輯主義「預期理由」的批判，對數學對象存在性的辯護和對實無窮假設的反對，都為數學哲學中直覺主義學派的發展開辟了道路。

Based on consider hereinbefore, this dissertation discusses several aspects on the problem of the sustainable and optimum exploitation of groundwater resources as follows : ( 1 ) reviewed entirely the origin and evolvement of the concept " sustainable development ", stated and commented the study status in queue on " sustainable development " around national and international range, thorough discussed the science connotation about the concept " sustainable development " ; ( 2 ) looked back and commented across - the aboard some furthest basic concept and proposition related to groundwater resources, put forward self opinions on a few existent mistake points of view and chaos understandings ; ( 3 ) expatiated entirely on the content and meaning of the theory of changeable groundwater resources system, contrast with the traditional methods of groundwater resources calculation and evaluation, combined example to show the application of this theory ; ( 4 ) thorough analyzed the difficult and complexity to forecast the groundwater resources, fully stated the traditional methods of groundwater resources forecasting, pointed out the characteristic and applying condition of these forecasting method, introduced the main ideas and methods of wavelet analysis developed recently, and the matlab software be known as the fifths era computer language, and its accessory wavelet analysis toolbox, applied these methods and tools to analyze the groundwater dynamic curve, adopted the b - j method and morte - carlo method, combined with the theory of changeable groundwater resources system, discussed the new view on the forecast of groundwater resources ; ( 5 ) synthetically analyzed the characteristics and limitations of the present all kind of groundwater manage model, combined mathematical programming mathematical statistics random process and the theory of variation system of groundwater resources on the unite optimum attempter of surface water and groundwater, emphasized how to make the model more nicety, more simple, more practicality ; ( 6 ) analyzed the inside condition and outside condition to assure the sustainable and optimum exploi tation of groundwater resources, the inside conditions are the follows : correct resources idea, scientific methods of resources calculation and evaluation, credible forecast methods of resources, exercisable measures of resources management, the outside conditions are the follows : the development idea of high layer, the transform of manage system, the matched policy and rule of law, the adjusted of economy lever, the improve of cultural diathesis, the boosting up of water - saving consciousness and detail measures, the control of population rising, the prevention and cure of water pollute, the renew and rebuild of ecology ; ( 7 ) scan the sustainable and optimum exploitation of groundwater resources from the high level of metagalaxy, earth system science, and philosophy ; lint out the more directions on groundwater resources

基於以上考慮，論文主要從以下幾方面對地下水資源可持續開發問題進行了比較深入的探討：全面回顧了「可持續發展」概念的由來與演變，對國內外「可持續發展」的研究現狀進行了述評，並對「可持續發展」概念的科學內涵進行了深入探討；對涉及地下水資源的一些最基本的概念和命題進行了全面的回顧和評述，對目前仍然存在的一些錯誤觀點和混亂認識提出了自己的見解；全面闡述了地下水資源變值系統理論的內容和意義，並與傳統的地下水資源計算評價方法進行了對比分析，結合實例具體說明了方法的應用；深入分析了地下水資源預測預報工作的極端重要性和復雜性，對傳統的地下水資源動態預測方法進行了全面的評述，指出了各類預測預報方法的特點及適用條件，對最近二十多年剛發展起來的小波分析技術的主要思想和方法及其應用范圍，以及號稱第五代計算機語言的matlab軟體和附帶的小波分析工具箱進行了介紹，並應用於地下水動態過程線的分析，採用時間序列中的b ? j法，蒙特卡羅方法，與地下水資源變值系統理論相結合，探討了地下水動態資料分析和地下水資源預測預報的新思路；綜合分析了現今各類地下水管理模型的特點及缺陷，將數學規劃、數理統計、隨機過程等與地下水變值系統理論相結合進行地表水地下水或多水源的聯合優化調度，使模型更準確、更實用；對保證地下水資源可持續開發的內部條件和外部條件進行了分析，內部河海人學博卜學位論文前言、摘要、目錄條件主要是正確的資源觀，科學的資源計算與評價方法，可靠的資源預測預報技術，可操作的資源管理措施，外部條件主要是高層發展思路、管理體制的變革、配套的政策法規、經濟杠桿的調節、人文素質的提高、節水意識的增強及具體節水措施、人口增長的控制、水體污染的防治、生態的恢復和重建等;從宇宙科學、地球系統科學及哲學的高度審視地下水資源的可持續開發;指出了地下水資源可持續開發的進一步研究方向。

I offer this work as the mathematical principles of philosophy, for the whole burden of philosophy seems to consist in this - form the phenomena of motions to investigate the forces of nature, and then from these forces to demonstrate the other phenomena

我把這部著作叫做《自然哲學的數學原理》 ，因為哲學的全部任務看來就在於從各種運動現象來研究各種自然之力，而後用這些力去論證其他的現象。

At concretion means, these mostly adopt systematology route to proceed inquisition, on the basis of reference both here and abroad production, compare objectively analyses technological change with agriculture surplus labor transfer of compartment " correlation, by the major premise of science and technology, handle science and technology philosophy, sociology, management science, statistics, economics, mathematical statistics, demography, and so on. compare overall systematically approach the feasibility, reliability, elementary path of agriculture surplus labor transfer under conditions of scientific - technical progress

本研究主要採用系統科學的方法，在參照國內外研究成果的基礎上，比較客觀地分析了科學技術進步與農業剩餘勞動力轉移之間的相互關系。運用科技哲學、社會學、管理學、統計學、經濟學、數理統計、人口學等學科的知識，比較全面系統地探討了在科技進步條件下，農業剩餘勞動力轉移的可能性、可行性、基本路徑等。

Under the philosophy of constructivism, this research takes the methods of educational experiment, document searching, questionnaire investigation, mathematical statistics, and applies the basic program of teaching mode of constructivism ( background setting, questions raising ; learning independently, conclusions drawing ; cooperative study, conversational communication ; teacher ' s

本課題採用教育實驗、文獻資料、問卷調查及數理統計等方法進行研究，在建構主義教學的理念下，採用建構主義教學模式基本程序（創設情境、提出問題；自主學習、得出結論；協作學習、會話交流；教師誘導、歸納總結）及其形成的教學方法（支架式、拋錨式、隨即進入教學等） ，作為對試驗組的施加因素。

The social change has new request to education. in mathematics education, " learn to value mathematics ; become confident in their ability to do mathematics ; become mathematical problem solvers ; learn to communicate mathematically, and learn to reason mathematically " are the new goals. the study of mathematics philosophy promotes the change of beliefs and methods of mathematics instruction

正如波普爾所說，知識並非起源於觀察，也並非起源於理論，而是起源於問題；具體到數學教育中，數學教育目標如今發生很大轉變，培養學生能夠評價數學的價值、善於推理、交流以及善於提出問題、分析問題、解決問題已經成為重要的數學素養，成為普通人與不同從業人員都需要具備的一種素質。