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「數學是無窮之學」,這是偉大數學家希爾伯特的名言。從「點有多大」的發展史來看,更能體會這句話的深義。
英國詩人布雷克(W. Blake, 1757∼1827)說得很傳神:
從一粒沙中看出一個世界,從一朵野花中看出一個天堂,握無窮於掌心,永恆於瞬息。
- 1. Grünbaum, A.,《Modern Science and Zeno's Paradoxes》, Wesleyan Univ. Press, 1967.
- 2. Bell, E.T.,《The Development of Mathematics》, McGraw-Hill, 1945.
- 3. Heath, T.,《A History of Greek Mathematics》, vol. 1, Dover, 1981.
- 4. Einstein, A.,《Ideas and Opinions》, Laurel Edition, 1979.
- 5. Boyer, C.B.,《The History of the Calculus and its Conceptual Development》, Dover, 1959.
- 6. Edwards, C.H.,《The Historical Development of the Calculus》, Springer-Verlag, 1979.
- 7. Dauben, J.W.,《Georg Cantor, His Mathematics and Philosphy of the Infinite》, Princeton Univ. Press, 1979.
- 8. Rucker, R.,《Infinity and the Mind》, Birkhauser, 1982.
- 9. Stewart, I. and Tall, D.,《The Foundation of Mathematics》, Oxford Univ. Press, 1988.
- 10. Weyl, H.,《Philosophy of Mathematics and Natural Science》, Princeton Univ. Press, 1949.
- 11. Maor, E.,《To Infinity and Beyond, A Cultural History of the Infinity》, Birkhauser, 1986.
- 12. Moore, A.W.,《The Infinite》, Routledge, 1990.
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