Merkuri said:
			
		
	
	
		
		
			A party of PCs is going through the World's Largest Dungeon.  If each original member of the party dies and is replaced by a new character so that the party now contains none of its original members or equipment, is it still the same party?
		
		
	 
Can a party be transitive?  I don't see why not.
For example:
Party at time 1- Has characters 1 2
Then character 1 dies.
Party at time 2- Has characters 2 3 (3 replaced character 1).
At time 2, the party is pretty much the same, right?  You wouldn't call it a different party.  Only one character died.  So "Party at Time 1"="Party at Time 2."
Then character 2 dies.
Party at time 3- Has characters 3 4 (4 replaced character 2).
At time 3, the party is pretty much the same as at time 2, right?  You wouldn't call it a different party.  Just one different character.  So "Party at Time 2"="Party at Time 3."
You can see where this is going.  At time 3 the party is entirely made up of characters that were not in the original party.
But I think "Party at time 3" is the same as "Party at time 1."
The same way that we know that if A=B and B=C, then A=C, we know the "Party at time 1"="Party at time 3."  This is because the "Party at time 1"="Party at time 2," and "Party at time 2"="Party at time 3."  Therefore, "Party at time 1"="Party at time 3".
Of course, this example could be repeated with a larger party and have the same result.
Yeah, I'm a philosophy geek.