/sci/ - Science & Math

>>9946011
>1. Even if Euler had not died in 1783 he would still be dead today.
>2. If Euler were alive today, he would have died in 1783.
A clearer way to say 1. is "If Euler's life did not end in 1783, it would have ended before the present." The contrapositive of this is "If Euler was still alive, his life would have ended in 1783" which is essentially statement 2.
This means statement 1. is logically false even though we have knowledge that people only live 150 years or so, tempting us to say it's true; 2. is an equivalent statement and obviously false.

>>9946011
>1. Even if Euler had not died in 1783 he would still be dead today.
True, since Euler being alive today is impossible.

>2. If Euler were alive today, he would have died in 1783.
Trivially true since Euler being alive today is impossible.

>>9946062
>>9946068
So which is it?

>>9946074
If Euler being alive today is impossible then they are both true. If Euler being alive today is possible then they are both false.

>>9946079
From the statement in the OP alone (1 and 2 are equivalent), there is no reason to think he cannot be alive today.

>>9946086
The statements being true implies that Euler cannot be alive today.

>>9946011


Brainlets ITT. The whole point is that we know Euler would have died at some point in the 18th century. So even if he did die at some other year, he'd still be dead by today. And if he was alive today, he couldn't have died in 1783.

So 1 is true and 2 is false. Any other interpretation is sophistry since it neglects our understanding of the facts.

>>9946191
>calling others brainlets when you dont know how contrapositives work

OP said nothing about the human lifespan

>>9946195

Doesn't apply. It's not a contrapositive. Dying and being alive today are mutully exlusive.

The 2nd one is nonsense. It must be untrue. The 1st is obviously correct because he can't be alive today because of aging.

This is the difference between cleverness and wisdom. Cleverness is spotting what seems to be a contrapositive and playing wordgames about truth. Wisdom is recognising the limits of the logical principle and using common sense to discern the correct outcome since the proposition is wrong.

>>9946011
Both true, I don't see that the problem is

>>9946360
What's the contraposition of each statement then?

>>9946360
2 is the contrapositive of 1 you ignorant nigger. I know you dont know that implies they are literally equivalent statements. Fucking logiclet