Can Genius solve any of exercises of textbook

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SUMMARY

The discussion centers on the question of whether a genius can solve all exercises in a mathematics textbook without error. Participants agree that while a genius may have the capability to solve all exercises, it may take considerable time, especially for extraordinarily difficult problems. The conversation highlights that the purpose of exercises is to help students apply concepts, and that persistence and hard work are crucial for problem-solving, as emphasized by quotes attributed to Einstein and Edison. Ultimately, being a genius is less about speed and more about the effort put into understanding and solving complex problems.

PREREQUISITES
  • Understanding of mathematical problem-solving techniques
  • Familiarity with the purpose of educational exercises
  • Knowledge of notable quotes on genius and hard work, such as those by Einstein and Edison
  • Awareness of advanced mathematics concepts, as discussed in texts like "Gauge Fields, Knots and Gravity" by John Baez and Javier P. Muniain
NEXT STEPS
  • Explore the concept of persistence in problem-solving in mathematics
  • Research the role of exercises in educational curricula
  • Study the quotes and philosophies of Einstein and Edison regarding genius and hard work
  • Investigate advanced mathematical theories and their applications, particularly in physics
USEFUL FOR

This discussion is beneficial for educators, students in mathematics and physics, and anyone interested in the nature of genius and the importance of effort in learning and problem-solving.

  • #31
A genius will ask the right questions and form new problems that no one has ever seen before, and then the genius will solve those problems, usually inventing new theory and math along the way.
 
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  • #32
Nanas said:
I know my question is not clear.All I want to say if genius ones can solve any exercise of textbook without any problem I mean without having a problem at one of the sub exercise.

Genius is in the eye of the beholder. I've seen world leading fields medal recipients struggle like crazy to understand a new proof. IMO - the thing that separates a genius from a non-genius is effort. Quite frankly, most people are lazy of the mind. Just stop by any math class and observe students.
 
  • #33
Nanas said:
I don't Consider my self a genius.
But, you will once you do all the exercises in your textbook? Oh common.
 
  • #34
malty said:
There is staggering amount of things attributed to Einstein that actually weren't his. The one I hate the most is that stupid riddle about fish and stuff.:(

Yeah, like relativity.
 
  • #35
you mean like special relativity and not General relativity ?
 
  • #36
I Believe that intelligence without work is nothing.
 

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