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My take :

let M be the maximum amount of money that a envelope can contain (at worst it can be the total amount of money in the world). You don't know the value of this upper bound M.

Most of the time, you get 2*x or x/2 with 50% chance if you choose the other envelope (which on average is a win)

But when x=M you get M/2 instead of M and therefore you loose M/2 with 100% chance. And when it happens you have lost much more than in the other cases (because exponentiel...)

If you do the math, you can see that what you win for 1 2 4 8 16 ... M/2 is equal to what you loose for M.

And so on average what win from switching is 0.

Not a good heuristic for me as it would make me skip most of the science stuff. For example the Webb space telescope. It certainly won't have any impact of my life.

Yes, when possible it is better to give people time to figure out things by themselves. That's how you learn.

The question is why pointing out something wrong would have automatically damaged your relationship with her ?

Everyone can agree that making mistake is natural. Can't people learn not to get upset when being told they made one ?

One way is by exposure in an environment where the feedback is factual and without drama.

I can't agree with that. If there is something wrong, it must be dealt with as soon as possible. We engineers must learn to be professional and not let our ego get in the way.

Maybe it is a cultural thing ? I worked once in Germany and thought at first that the error pointing was brutal. But you get used to it and learn not to involve your self esteem. And retrospectively I found it to be a fair and effective work environment.

I remember seeing one occurence of bubblesort in the source code of Crafty chess engine with a comment explaining that this was unexpectingly the fastest sort in that particular case. (It was the ordering of a few moves in the quiesce algorithm I think).

First They Ignore You, Then They Laugh at You, Then They Attack You, Then You Win.

"The statement evolved from a large family of sayings that originated in the nineteenth century. In 1918 a closely similar remark emerged in a speech by Nicholas Klein, a union representative. Gandhi discussed stages that a movement passes through in a collection of writings he published in 1921, but his words did not really match the target expression."

https://quoteinvestigator.com/2017/08/13/stages/

Even hardworking developers will sometimes don't care about the user experience. For example, Linus could have spent a few hours polishing the git CLI. Instead we have had millions of developer hours wasted in making sens of the CLI inconsistencies...

Took me a few minutes to figure it out. chipotle_coyote comment make sens if the tax is 800k. 50m*0.04 = 2m = 800k+600k+600k The tax is not 800k but 80k though. So it should be 80k+960k+960k.

So you could pay the tax, draw out $960K a year (I mean, you can live on that, right? Not a hardship?), and still have another $960K left over.

Does anyone here have some experience using a kindle without account as describe here :

https://www.techjunkie.com/kindle-without-amazon-account/

Or here :

https://ebookfriendly.com/unregistered-kindle-pros-cons/

I think after some research that the oasis may be the best value for money reader for my use case (pdf CS books) but I'm not sure about the amazon account and if it is worth the hassle to avoid it.

"Unlike conventional online services, TiddlyWiki lets you choose where to keep your data, guaranteeing that in the decades to come you will still be able to use the notes you take today."

Very nice. And that also mean you can keep your notes local and private I guess.