此零非彼O臺灣商務印書館, 2006 - 353 σελίδες |
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Αποτελέσματα 1 - 5 από τα 45.
Σελίδα 11
... 。六、數目共和國( Republic of Numbers )在《從零開始》一書中,作者卡普蘭以「數目共和國」做比喻,來說明數學家最終如何將「零」納為一個「合法的」數目。他的說明十分動人,值得在此引述:以我的身高爲準! 此零非彼 0 就像瑞士一樣不樂意接納 11.
... 。六、數目共和國( Republic of Numbers )在《從零開始》一書中,作者卡普蘭以「數目共和國」做比喻,來說明數學家最終如何將「零」納為一個「合法的」數目。他的說明十分動人,值得在此引述:以我的身高爲準! 此零非彼 0 就像瑞士一樣不樂意接納 11.
Σελίδα 33
... 作者 Kline 宣稱它是「一本直接、非技術性的著作」,但平心而論,本書對於一般讀者卻不易入手與理解。當然,如果讀者有一點數學史與(數學)哲學的素養,那麼,大概就比較理解本書如何「試圖在非技術層面上,處理數學如何獲得尊貴地位,而後又是如何衰落的過程 ...
... 作者 Kline 宣稱它是「一本直接、非技術性的著作」,但平心而論,本書對於一般讀者卻不易入手與理解。當然,如果讀者有一點數學史與(數學)哲學的素養,那麼,大概就比較理解本書如何「試圖在非技術層面上,處理數學如何獲得尊貴地位,而後又是如何衰落的過程 ...
Σελίδα 34
... 作者在本書終章(第十五章)安排「自然的權威」謝幕,讓數學知識得以「安身立命」,也算是功德一件了。本書除了「導論」章說明「中心論旨」之外,其餘文字共分成十五章。前三章主題都指向西方數學發展從古希臘以迄十八世紀末的兩千年之間,從畢氏學派、柏拉圖與 ...
... 作者在本書終章(第十五章)安排「自然的權威」謝幕,讓數學知識得以「安身立命」,也算是功德一件了。本書除了「導論」章說明「中心論旨」之外,其餘文字共分成十五章。前三章主題都指向西方數學發展從古希臘以迄十八世紀末的兩千年之間,從畢氏學派、柏拉圖與 ...
Σελίδα 36
... 作者對於在數學真理與知識確定性之關聯,無暇多做一點說明,實在有一點可惜。其實,作者在本書中提及多個形上學層次的原理如「最小作用原理」等,如能適當論述其意義,則可以成為此一關聯的最佳注腳。此外,作者無法從社會史的視野考察確定性 年代初期,當時國際 ...
... 作者對於在數學真理與知識確定性之關聯,無暇多做一點說明,實在有一點可惜。其實,作者在本書中提及多個形上學層次的原理如「最小作用原理」等,如能適當論述其意義,則可以成為此一關聯的最佳注腳。此外,作者無法從社會史的視野考察確定性 年代初期,當時國際 ...
Σελίδα 37
... 作者又比較長於思想史之論述,所以,我們也就不必苛求了。參考文獻] Kline , Morris ( 1972 ) . Mathematical Thought from Ancient to Modern Times . New York : Oxford University Press . Kline , Morris ( 1980 ) . Mathematics : The Loss of ...
... 作者又比較長於思想史之論述,所以,我們也就不必苛求了。參考文獻] Kline , Morris ( 1972 ) . Mathematical Thought from Ancient to Modern Times . New York : Oxford University Press . Kline , Morris ( 1980 ) . Mathematics : The Loss of ...
Δημοφιλή αποσπάσματα
Σελίδα 289 - That, if a straight line falling on two straight lines make the interior angles on the same side less than two right angles...
Σελίδα 220 - FC is equal* to the base GB, and the triangle AFC to the triangle AGB; and the remaining angles of the one are equal * to the remaining angles of the other, each to each, to which the equal sides are opposite; viz. the angle ACF to the angle ABG, and the angle AFC to the angle AGB...
Σελίδα 30 - ... legislation may fitly prescribe; and we must endeavour to persuade those who are to be the principal men of our State to go and learn arithmetic, not as amateurs, but they must carry on the study until they see the nature of numbers with the mind only; nor again, like merchants or...
Σελίδα 289 - Parallel straight lines are straight lines which, being in the same plane and being produced indefinitely in both directions, do not meet one another in either direction.
Σελίδα 244 - ... with a view to buying or selling, but for the sake of their military use, and of the soul herself; and because this will be the easiest way for her to pass from becoming to truth and being.
Σελίδα 223 - PROPOSITION 4 // two triangles have the two sides equal to two sides respectively, and have the angles contained by the equal straight lines equal, they will also have the base equal to the base, the triangle will be equal to the triangle, and the remaining angles will be equal to the remaining angles respectively, namely those which the equal sides subtend.
Σελίδα 221 - CGB, and the remaining angles will be equal to the remaining angles respectively, namely those which the equal sides subtend; therefore the angle FBC is equal to the angle GCB, and the angle BCF to the angle CBG.
Σελίδα 216 - In isosceles triangles, the angles at the base are equal to one another, and, if the equal straight lines be produced further, the angles under the base will be equal to one another.
Σελίδα 291 - Things which are equal to the same thing are equal to one another. 2. If equals be added to equals the wholes are equal. 3. If equals be taken from equals the remainders are equal.
Σελίδα 31 - I was saying, that arithmetic has a very great and elevating effect, compelling the soul to reason about abstract number, and rebelling against the introduction of visible or tangible objects into the argument.