You’ve gotten a more full answer, so I’ll elaborate on the “bat and ball” example I mentioned elsewhere. There’s a famous puzzle: a bat and ball together cost $1.10. The bat costs $1 more than the ball. How much does the ball cost?
System 1 thinking results in the answer $0.10. Because $0.10 + $1 = $1.00. But the correct answer, which can only be arrived at in system 2, is $0.05, because the question isn’t actually about $1.10 - $1.00, but x+(x+1)=1.1. That’s not a problem system 1 thinking can do though.
my system 1 thinking: the sum of money is about 1, so each costs 1/2, but the bat costs 1 dollar too, so the bat is 1+1/2 = 3/2, and ball is 1/2. simples! wait… i forgot the .10. so bat costs 3/2.10 and 1/2.10 i guess
my system 2 thinking: i must do gaussian elimination!
You’ve gotten a more full answer, so I’ll elaborate on the “bat and ball” example I mentioned elsewhere. There’s a famous puzzle: a bat and ball together cost $1.10. The bat costs $1 more than the ball. How much does the ball cost?
System 1 thinking results in the answer $0.10. Because $0.10 + $1 = $1.00. But the correct answer, which can only be arrived at in system 2, is $0.05, because the question isn’t actually about $1.10 - $1.00, but x+(x+1)=1.1. That’s not a problem system 1 thinking can do though.
I have bad news…
my system 1 thinking: the sum of money is about 1, so each costs 1/2, but the bat costs 1 dollar too, so the bat is 1+1/2 = 3/2, and ball is 1/2. simples! wait… i forgot the .10. so bat costs 3/2.10 and 1/2.10 i guess
my system 2 thinking: i must do gaussian elimination!