Abstraction Quote by Anonymous
![“We now come to the decisive step of mathematical abstraction: we forget about what the symbols stand for. ...[The mathematician] need not be idle; there are many operations which he may carry out with these symbols, without ever having to look at the things they stand for. Hermann Weyl, The…” quote by Anonymous](https://sms4smile.com/quotes/img-quotes/e1d/anonymous-1_mathematics_we-now-come-to-the-decisive-step-of-math_607659.jpg)
““We now come to the decisive step of mathematical abstraction: we forget about what the symbols stand for. ...[The mathematician] need not be idle; there are many operations which he may carry out with these symbols, without ever having to look at the things they stand for. Hermann Weyl, The Mathematical Way of Thinking””
About This Quote
Source Book: The Mathematical Way of Thinking by Hermann Weyl, 1939
Mathematical abstraction involves ignoring the concrete meaning of symbols to manipulate them freely, enabling creative problem solving.
In simple terms: Focus on symbol manipulation, not their real-world meaning.
Key Takeaway
Practice abstract reasoning with symbols.
Themes
mathematics
abstraction
creativity
Mood
analytical
thoughtful
Type
philosophical
educational
When to use this quote
- theoretical research
- education
- problem solving
- algorithm design
Key Concepts
symbolic manipulation
conceptual thinking
Questions to Reflect On
- When does abstraction hinder learning?
- How can we balance abstraction with concrete examples?
A Different Perspective
Abstraction can detach understanding from intuition, making concepts harder to grasp.
![“[Albert Camus] started thinking through sensation. He could never think with artefacts or with cultural models because there were none. So it's true to say that his morality was extremely 'lived', made from very concrete things. It never passed by means of abstractions . It's his own experience…” quote by Catherine Camus](https://sms4smile.com/quotes/img-quotes/07a/catherine-camus-12238_abstraction_albert-camus-started-thinking-through-se_1084847.jpg)
