18th century Quote by Richard Askey
“Combinatorial analysis, in the trivial sense of manipulating binomial and multinomial coefficients, and formally expanding powers of infinite series by applications ad libitum and ad nauseamque of the multinomial theorem, represented the best that academic mathematics could do in the Germany of the late 18th century.”
About This Quote
Source Book: History of Mathematics in Germany, 18th Century, scholarly source
Academic mathematics then focused on combinatorial expansions, reflecting limited scope of the era.
In simple terms: Mathematics was narrow and formulaic.
Key Takeaway
Recognize historical context of mathematical development.
Themes
history
mathematics
limitations
Mood
reflective
analytical
Type
historical
critical
When to use this quote
- University curricula
- research funding
- educational policy
Key Concepts
Combinatorics
multinomial theorem
academic focus
Questions to Reflect On
- How did societal needs shape mathematical research?
- What fields have expanded beyond combinatorics?
A Different Perspective
Modern mathematics now embraces abstraction and interdisciplinary methods.
![“And the differences thence arising [between the constitution of men and women] are no ways sufficient to argue more natural strength in the one than in the other, to qualify them more for military labours. Are not the Women of different degrees of strength, like the Men? Are there not strong and…” quote by Lady Sophia Fermor](https://sms4smile.com/quotes/img-quotes/2bf/lady-sophia-fermor-20567_18th-century_and-the-differences-thence-arising-betwe_38711.jpg)
![“By 18th century standards, they [Great Britain] were the freest, most dynamic, most willing to challenge tradition and authority. They had the highest wages and highest living standard, and probably the most engagement between the populace and the government of any country. Then the United States…” quote by Charles R. Morris](https://sms4smile.com/quotes/img-quotes/ca2/charles-r-morris-19787_18th-century_by-18th-century-standards-they-great-bri_49883.jpg)
![“I shou'd not myself have thought [Cato] worth so much notice as I have here taken of him; but that the Men are weak enough in general, to suffer their sense to be led away captive, by such half-thinking retailers of sentences. Among whom, This in particular, was he worth the pains, might be easily…” quote by Lady Sophia Fermor](https://sms4smile.com/quotes/img-quotes/592/lady-sophia-fermor-20567_18th-century_i-shou-d-not-myself-have-thought-cato-wo_183319.jpg)
