Courses Quote by Gottlob Frege
“It is possible, of course, to operate with figures mechanically, just as it is possible to speak like a parrot: but that hardly deserves the names of thought. It only becomes possible at all after the mathematical notation has, as a result of genuine thought, been so developed that it does the thinking for us, so to speak.”
About This Quote
Source Book: Begriffsschrift, 1879
Thought requires genuine understanding, not mere mechanical manipulation of symbols; notation should embody thinking, not replace it.
In simple terms: True thought isn’t just symbol crunching.
Use notation to aid, not replace, thinking.
Themes
Mood
Type
When to use this quote
- mathematical research
- software development
- education
- AI design
Key Concepts
Questions to Reflect On
- How do you ensure tools enhance rather than replace reasoning?
- When does automation become thought?
Over-reliance on tools can dull critical thinking.