- The word productivity means two different things.
- Reduced time to goal when Goals to aim for is decided, Itâs about shortening the time to get to the goal when you donât know what goal youâre aiming for.
Iâm interested in the latter.
You might think, âWell, theyâre both time savers, so why not just go faster?â But the latter would be counterproductive with respect to productivity. See Candle Experiment
As for the latter, since âwhether it is a goalâ is unknown, performing many acts to confirm âwhether it is a goalâ is the royal road to shortening the time to reach the goal. However, if the number of trial-and-error attempts itself is used as a KPI, even useless trial-and-error attempts will be done without hesitation. Instead of the dichotomy of âis it a goal or not?â we need to consider âwhat is the probability that it is a goalâ and start with the highest probability. In the absence of information, everything is equally probable, so it is better to start immediately without worrying about which one to start with, and the difference in probability will gradually become visible according to the information obtained.
- Eratosthenesâ sieve
- Algorithm for finding prime numbers
- It is inefficient to try to see if they can be divided in turn.
- Addition is less costly than division.
- At the stage of finding a prime number, that knowledge will tell you âthere is no prime number hereâ.
- By recording this information, we can efficiently discover prime numbers.
This page is auto-translated from /nishio/äșçšźéĄăźççŁæ§ using DeepL. If you looks something interesting but the auto-translated English is not good enough to understand it, feel free to let me know at @nishio_en. Iâm very happy to spread my thought to non-Japanese readers.