Do i need to be a mental calculator?

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Discussion Overview

The discussion centers around the necessity of being proficient at mental calculations for pursuing a career in theoretical physics or mathematics. It explores the relevance of mental arithmetic skills in these fields and whether they impact one's ability to succeed.

Discussion Character

  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • Some participants assert that being a mental calculator is not necessary for a career in theoretical physics or mathematics.
  • One participant notes that a very small fraction of professionals in these fields are adept at mental calculations.
  • Another participant highlights that many renowned mathematicians, including Grothendieck, were not skilled at mental calculations, suggesting that this skill is not indicative of mathematical ability.
  • One contributor argues against spending time improving mental calculation skills, stating that computers can perform these tasks more efficiently, and suggests focusing on skills that provide greater benefits.
  • There is a request for reasoning behind the claims that mental calculation is not essential.

Areas of Agreement / Disagreement

Participants generally agree that mental calculation is not a critical skill for success in theoretical physics or mathematics, though there is a request for further reasoning and clarification on this point.

Contextual Notes

The discussion reflects a range of opinions on the value of mental calculation skills, with some participants emphasizing the importance of focusing on more impactful skills instead.

phynoldus
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Hey,
I was wondering if i need to be a mental calculator to pursue my career in theoretical physics or mathematics?
I mean I am not terrible at calculating math problems like 17 x 24 in my head but i am not super fast at calculating in my head problems a bit harder than that.
If so which field should i choose?
 
Physics news on Phys.org
No..
 
I agree with jk. No.
 
Could i Get some reasoning?
 
phynoldus said:
Could i Get some reasoning?
A very, very small fraction of physicists or mathematicians are mental calculators.
 
There are many famous mathematicians who are bad at mental calculations:

One striking characteristic of Grothendieck’s mode of thinking is that it seemed to rely so little on examples. This can be seen in the legend of the so-called “Grothendieck prime”. In a mathematical conversation, someone suggested to Grothendieck that they should consider a particular prime number. “You mean an actual number?” Grothendieck asked. The other person replied, yes, an actual prime number. Grothendieck suggested, “All right, take 57.”

And Grothendieck is one of the absolute greatest mathematicians ever.
 
Did he program the computer that gave 42 as the answer to 6X9?
 
OP, you shouldn't spend time on *ANYTHING* a computer can do much, much better than you. Especially mental calculation is a completely useless skill[1].

Getting better at something requires resources, like time. Spending them on something like this means you won't be able to invest them into something which might actually help you!

[1] I mean exact calculations. Of course it can be useful to be able to coarse estimates.
 

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