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Only allowed to use three variables for truth table however, I feel like I need four.

Writer Emily Wong
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The question states, "Use truth tables to determine whether the following argument (logical consequence) is correct – show your work.

  • Premise 1. If Achilles is human then he is mortal.

  • Premise 2. If Achilles is not mortal then at least one of his parents is not mortal.

  • Conclusion. If both of Achilles’ parents are mortal then Achilles is human.

Note: you must use appropriately the following three variables (and no others): hu, mo, pa."

I would set hu = is human, mo = is mortal, and pa = is a parent. However, my question arises where I have to differentiate between two parents. Can someone help me set up my truth table or variables?

Thank you.

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