and that is why math theorem starts with definitions of the terms.

the person being “teleported” just ceases to be.

no, that person continues to be in the new location

not necessarily. having the transporter means we have figured out how to make exact one to one copy of an object on a molecular level. that doesn’t mean we understand how the informations in human brain are organized and that we can change them.

the original pressumably didn’t experience any gruesome death, no one is shooting it in the face. you just closed your eyes and then opened them at new location. what is the difference from going to sleep and then waking up?

I’m not understanding how you think this works.

that makes two of us, i am not really sure what you are trying to say.

your “consciousness” is just a result of biochemical processes in your brain. if you have the ability to create a copy of your body on a molecular level, then that new copy has your consciousnes, your memories, it is you. so if you create new copy and don’t destroy the old one, there are now two of you. if you destroy the original, then there is only one of you, possibly in different location.

from the point of view of your copy, it is no different than you going to sleep and then waking up. you have no idea what was going on with your body during the sleep. you simply accept all the memories you have as yours and move on with your day.

are you ok with closing your eyes when you go to sleep? how do you know you weren’t replaced during sleep? 😆

i think while it is interesting philosophical question, in reality we would get used to it quite quickly. every time you get in a car you place lot of trust in people driving in the opposite direction. everyone of them can be drunk or just a moron and every car ride can be your last. and in spite of that we don’t really give it a second thought and it usually works out just fine.

I suggest to you https://www.imdb.com/title/tt0667991

I wonder why Dunning-Kruger doesn’t seem to apply here.

because dunning-kruger is something else than you think - it has nothing to do with intelligence:

In popular culture, the Dunning–Kruger effect is often misunderstood as a claim about general overconfidence of people with low intelligence instead of specific overconfidence of people unskilled at a particular task.

https://en.wikipedia.org/wiki/Dunning–Kruger_effect