Prompting makes a huge difference. For example, here is an interaction:
I will ask some questions, treat them as logic puzzles. Give me your working steps and then finally answer the logic puzzle.
First question: If it rains, I drive home. I did not drive home. Did it rain today?
ChatGPT:
Let's break down this statement into its logical components.
The first statement, "If it rains, I drive home", is a conditional statement, often referred to as an 'if-then' statement. It can be denoted as:
If R (it rains), then D (I drive home).
The second statement, "I did not drive home", is a negation of D:
Not D (I did not drive home).
In logic, we have something called the contrapositive. The contrapositive of a statement "If P then Q" is "If not Q then not P". The contrapositive of a statement is logically equivalent to the original statement - meaning that whenever the original statement is true, the contrapositive is also true (and vice versa).
So, the contrapositive of the first statement "If R then D" is:
If not D (I did not drive home), then not R (it did not rain).
Given the second statement is "Not D" (I did not drive home), and from the contrapositive we know that "If not D then not R", we can conclude that "Not R" - it did not rain today.
So, the answer to "Did it rain today?" is No, it did not rain.
I will ask some questions, treat them as logic puzzles. Give me your working steps and then finally answer the logic puzzle.
First question: If it rains, I drive home. I did not drive home. Did it rain today?
ChatGPT: Let's break down this statement into its logical components.
The first statement, "If it rains, I drive home", is a conditional statement, often referred to as an 'if-then' statement. It can be denoted as:
If R (it rains), then D (I drive home).
The second statement, "I did not drive home", is a negation of D:
Not D (I did not drive home).
In logic, we have something called the contrapositive. The contrapositive of a statement "If P then Q" is "If not Q then not P". The contrapositive of a statement is logically equivalent to the original statement - meaning that whenever the original statement is true, the contrapositive is also true (and vice versa).
So, the contrapositive of the first statement "If R then D" is:
If not D (I did not drive home), then not R (it did not rain).
Given the second statement is "Not D" (I did not drive home), and from the contrapositive we know that "If not D then not R", we can conclude that "Not R" - it did not rain today.
So, the answer to "Did it rain today?" is No, it did not rain.