此零非彼O臺灣商務印書館, 2006 - 353 σελίδες |
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Αποτελέσματα 1 - 5 από τα 53.
Σελίδα 11
... 理解整個宇宙了。其實,這種手法也反映在他們對美學的研究上。譬如說吧,所謂「美」對於他們來說,就是有很好的比例關係( well- proportioned )。無怪乎,他們會對「黃金分割」( golden section )的比(約等於 1.618 )會那麼執迷了。希臘人(尤其是畢氏學派)這 ...
... 理解整個宇宙了。其實,這種手法也反映在他們對美學的研究上。譬如說吧,所謂「美」對於他們來說,就是有很好的比例關係( well- proportioned )。無怪乎,他們會對「黃金分割」( golden section )的比(約等於 1.618 )會那麼執迷了。希臘人(尤其是畢氏學派)這 ...
Σελίδα 17
... 理解了。然而,照傳統的知識分類來說,歷史與哲學畢竟不同。如何面對哲學本體論問題受到它的歷史演化因素的渗透,比方數學物元( mathematical entities or objects )如函數( function )的本質,大概是純哲學研究再也無法迴避的問題了。或許這也促成 Lakatos ...
... 理解了。然而,照傳統的知識分類來說,歷史與哲學畢竟不同。如何面對哲學本體論問題受到它的歷史演化因素的渗透,比方數學物元( mathematical entities or objects )如函數( function )的本質,大概是純哲學研究再也無法迴避的問題了。或許這也促成 Lakatos ...
Σελίδα 20
... 理解三角形這一形式或理念。其實,亞里斯多德也認為三角形這種數學「物元」,是從三角形餅乾這樣的「物質」抽象而來,對於「物元」與「物質」兩者的關係,他尤其說得極為明白:「當我們考慮數學物元時,我們是將它們看成好像與其物質分離,雖然事實上並非如此 ...
... 理解三角形這一形式或理念。其實,亞里斯多德也認為三角形這種數學「物元」,是從三角形餅乾這樣的「物質」抽象而來,對於「物元」與「物質」兩者的關係,他尤其說得極為明白:「當我們考慮數學物元時,我們是將它們看成好像與其物質分離,雖然事實上並非如此 ...
Σελίδα 27
... 理解電算機的技術精進與數學知識的(永恆)確定性,根本互不相涉!最後,「事實」與「真相」究竟有什麼區別呢?此一問題出自一位大四學生針對我在「數學史」課堂上所布置的對比:「歷史事實」( historical fact ) vs .「數學真理」( mathematical truth )。我 ...
... 理解電算機的技術精進與數學知識的(永恆)確定性,根本互不相涉!最後,「事實」與「真相」究竟有什麼區別呢?此一問題出自一位大四學生針對我在「數學史」課堂上所布置的對比:「歷史事實」( historical fact ) vs .「數學真理」( mathematical truth )。我 ...
Σελίδα 29
... 理解「孔子與數學」如何成為一個有意義的主題了。不過,孔子代表的儒家如何參與中國先秦的數學知識活動,不是本文題旨,我們在此只想討論柏拉圖( Plato )的數學哲學與拉斐爾( Raphael )的名畫「雅典學院」( School of Athens )。拉斐爾固文藝復興時期的一代 ...
... 理解「孔子與數學」如何成為一個有意義的主題了。不過,孔子代表的儒家如何參與中國先秦的數學知識活動,不是本文題旨,我們在此只想討論柏拉圖( Plato )的數學哲學與拉斐爾( Raphael )的名畫「雅典學院」( School of Athens )。拉斐爾固文藝復興時期的一代 ...
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.