Skip to main content

From One Gnomon to Two Gnomons: A Methodological Study of the Method of Double Differences

  • Chapter
Philosophy and Conceptual History of Science in Taiwan

Part of the book series: Boston Studies in the Philosophy of Science ((BSPS,volume 141))

  • 91 Accesses

Abstract

“Philosophy of science without history of science is empty; history of science without philosophy of science is blind.” Taking its cue from this paraphrase of Kant’s famous dictum, Imre Lakatos in his ‘History of science and its rational reconstruction’1 explained how the historiography of science should learn from the philosophy of science and vice versa. He argued that

(a) philosophy of science provides normative methodologies in terms of which the historian reconstructs ‘internal history’ and thereby provides a rational explanation of the growth of objective knowledge; (b) two competing methodologies can be evaluated with the help of (normatively interpreted) history; (c) any rational reconstruction of history needs to be supplemented by an empirical (socio-psychological) ‘external history’.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • An Tian Se and Swetz, F. J.: 1986, ‘A Chinese mathematical classic of the third century: The Sea Island Mathematical Manual of Liu Hui’, Historia Mathematica 13, 99–117.

    Article  Google Scholar 

  • Bai Shangshu: 1982, ‘An investigation into the techniques in Liu Hui’s “The Sea Island Mathematical Manual” ’,Collection of Papers on the History of Science and Technology 8, 79–87.

    Google Scholar 

  • Chemla, Karine: 1987, ‘Should they read Fortran as if it were English?’ Bulletin of Chinese Studies of the University of Hong Kong 1, 301–316.

    Google Scholar 

  • Fu, Daiwie: 1988, ‘A study on the historical development and transformation of Chou-Pi research tradition’, Bulletin of Tsing Hua University, New Series 18, 1–41.

    Google Scholar 

  • Lakatos, Imre: 1976, Proofs and Refutations: the Logic of Mathematical Discovery, Cambridge University Press, Cambridge.

    Book  Google Scholar 

  • Lakatos, Imre: 1978, The Methodology of Scientific Research Programmes ,Cambridge University Press, Cambridge.

    Book  Google Scholar 

  • Li Di: 1987, The algorithmic nature of the Chinese traditional mathematics’, Bulletin of Chinese Studies of the University of Hong Kong 1, 219–232.

    Google Scholar 

  • Lih, Ko-Wei: 1987, A preliminary investigation into the inner logical context of Chong Cha ’, Science Monthly 16, 121–126.

    Google Scholar 

  • Li Jimin: 1982, The theory of proportions in “Jiu Zhang Suanshu , in Wu Wenjun (ed.), Jiu Zhang Suanshu and Liu Hui ,pp. 228–245, Beijing Normal University, Beijing.

    Google Scholar 

  • Wu Wenjun: 1982, ’Recovering the proofs of “Haidao Suanjing” in Wu Wenjun (ed.), Jiu Zhang Suanshu and Liu Hui ,pp. 162–180, Beijing Normal University, Beijing.

    Google Scholar 

Download references

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1993 Springer Science+Business Media New York

About this chapter

Cite this chapter

Lih, KW. (1993). From One Gnomon to Two Gnomons: A Methodological Study of the Method of Double Differences. In: Lin, CH., Fu, D. (eds) Philosophy and Conceptual History of Science in Taiwan. Boston Studies in the Philosophy of Science, vol 141. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-2500-0_9

Download citation

  • DOI: https://doi.org/10.1007/978-94-011-2500-0_9

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-5103-3

  • Online ISBN: 978-94-011-2500-0

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics