Friday, 5 February 2021

A Concise Introduction to Logic, Patrick J. Hurley, Wadsworth, 2006, 9th ed,. 8.7, III, 2 p. 448

Ronald Reagan was the oldest US president. Woodrow Wilson was a US president. Woodrow Wilson is not Ronald Reagan. Therefore, Ronald Reagan was older than Woodrow Wilson.

1.     Ur • (x)[(Ux • x ≠ r) ⊃ Orx]

2.     Uw

3.     ≠ r

∴ Orw

4.     (x)[(Ux • x ≠ r) ⊃ Orx] • Ur

5.     (x)[(Ux • x ≠ r) ⊃ Orx]

6.     (Uw • w ≠ r) ⊃ Orw

7.     Uw • w ≠ r

8.     Orw

 

 

 

 

1 Com

1 Simp

5 UI

2,3 Conj

6,7 MP

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