Question
Use the Law of Detachment and the Law of Syllogism to draw a conclusion from the following true statements. If you have an income, then you must pay taxes. If you have a job, then you have an income. You work as a cashier in a convenience store. You have a job. You work as a cashier. You must pay taxes. You have an income.
Answers
GPT 3.5
Based on the given true statements, we can use the Law of Detachment and Law of Syllogism to draw the following conclusion:
1. If you have an income, then you must pay taxes. (Premise)
2. If you have a job, then you have an income. (Premise)
3. You work as a cashier in a convenience store. (Premise)
4. You have a job. (Premise)
Using the Law of Syllogism, we can combine statements 2 and 4 to form a new statement:
5. If you have a job, then you have an income.
Now, by applying the Law of Detachment, we can use statement 5 and statement 3 to draw a conclusion:
6. You have an income.
Therefore, based on the given information, we can conclude that you have an income.
1. If you have an income, then you must pay taxes. (Premise)
2. If you have a job, then you have an income. (Premise)
3. You work as a cashier in a convenience store. (Premise)
4. You have a job. (Premise)
Using the Law of Syllogism, we can combine statements 2 and 4 to form a new statement:
5. If you have a job, then you have an income.
Now, by applying the Law of Detachment, we can use statement 5 and statement 3 to draw a conclusion:
6. You have an income.
Therefore, based on the given information, we can conclude that you have an income.