Add Quote by Hermann Hankel
“In most sciences one generation tears down what another has built and what one has established another undoes. In mathematics alone each generations adds a new story to the old structure.”
About This Quote
Source Lecture: History of Science, 19th century
Science builds on past work, while mathematics adds new layers, showing cumulative knowledge.
In simple terms: Science revises; math adds.
Key Takeaway
Respect past contributions, add new ideas.
Themes
science
mathematics
progress
Mood
analytical
thoughtful
inspirational
Type
academic
historical
reflective
When to use this quote
- research
- teaching
- academic writing
- policy making
Key Concepts
cumulative knowledge
innovation
continuity
Questions to Reflect On
- How can I honor past work while innovating?
- What does each generation add to the field?
A Different Perspective
Overemphasis on novelty can ignore valuable foundations.
![“[Mathematics is] purely intellectual, a pure theory of forms, which has for its objects not the combination of quantities or their images, the numbers, but things of thought to which there could correspond effective objects or relations, even though such a correspondence is not necessary.” quote by Hermann Hankel](https://sms4smile.com/quotes/img-quotes/9d5/hermann-hankel-65857_combination_mathematics-is-purely-intellectual-a-pur_2076406.jpg)
