Artificial Quote by Herbert Wilf
“Induction makes you feel guilty for getting something out of nothing, and it is artificial, but it is one of the greatest ideas of civilization.”
About This Quote
Source Book: Combinatorics Lecture Notes, 1975
Induction is a powerful, though seemingly artificial, reasoning tool that underpins much of mathematics.
In simple terms: Induction is a key mathematical method.
Key Takeaway
Use induction to build logical arguments.
Themes
mathematics
logic
methodology
Mood
educational
reflective
Type
academic
philosophical
When to use this quote
- teaching proofs
- research problem solving
- algorithm design
- theoretical analysis
Key Concepts
proof techniques
foundations of mathematics
educational theory
Questions to Reflect On
- When is induction most effective?
- What are its limits?
A Different Perspective
Can be misapplied if base case is weak.
![“The only hope [of science] ... is in genuine induction.” quote by Francis Bacon](https://sms4smile.com/quotes/img-quotes/090/francis-bacon-297_accounts_the-only-hope-of-science-is-in-genuine-i_829146.jpg)
![“[Mathematics] unceasingly calls forth the faculties of observation and comparison; one of its principal weapons is induction: it has frequent recourse to trial and verification; and it affords a boundless scope for the exercise of the highest efforts of imagination and invention.” quote by James Joseph Sylvester](https://sms4smile.com/quotes/img-quotes/301/james-joseph-sylvester-23602_boundless_mathematics-unceasingly-calls-forth-the_447035.jpg)
