Tutors Answer Your Questions about Proofs (FREE)
Question 1210176: Use the quantifier negation rule together with the eighteen rules of inference to derive the conclusion of the following symbolized argument. Do not use either conditional proof or indirect proof. (Complete the proof in the logic tool. See the Getting Started text for further instructions. Select the Submit button to grade your response.)
Step Argument Justification
1. (∃x)Ax ⊃ [(∃x)Bx ∨ (x)Cx]
2. (∃x)(Ax ⦁ ~Cx)
3. ~(x)Cx ⊃ [(x)Fx ⊃ (x)~Bx] / (∃x)~Fx
Click here to see answer by CPhill(1959)   |
Question 1210175: Use the quantifier negation rule together with the eighteen rules of inference to derive the conclusion of the following symbolized argument. Do not use either conditional proof or indirect proof. (Complete the proof in the logic tool. See the Getting Started text for further instructions. Select the Submit button to grade your response.)
Step Argument Justification
1. (x)[(Ax ⦁ Bx) ⊃ Cx]
2. ~(x)(Ax ⊃ Cx) / ~(x)Bx
Click here to see answer by CPhill(1959) |
Question 1210174: Use the quantifier negation rule together with the eighteen rules of inference to derive the conclusion of the following symbolized argument. Do not use either conditional proof or indirect proof. (Complete the proof in the logic tool. See the Getting Started text for further instructions. Select the Submit button to grade your response.)
Step Argument Justification
1. ~(∃x)(Ax ⦁ ~Bx)
2. ~(∃x)(Ax ⦁ ~Cx) / (x)[Ax ⊃ (Bx ⦁ Cx)]
Click here to see answer by CPhill(1959) |
Question 1210240: 1. use the proof method (M9) to construct a formal proof to demonstrate that the following argument is valid:
~(T v U), S, R ≡ ~S /.: ~(U v R)
2. use the proof method (M9) to construct a formal proof to demonstrate that the following argument is valid:
S v (~R • T), R ⊃ ~S /.: ~R
3. use the proof method (M9) to construct a formal proof to demonstrate that the following argument is valid:
S v (T ⊃ R), S ⊃ T, ~(T ⊃ R) /.: T
First, copy the argument above and paste it into the text box. Second, using the spacebar, set up your proof into two columns. Third, type or copy and paste symbols as required to complete your proof. For an assumed premise, use '→' before the line number. For the vertical line of a subproof, use '|' before the line number. For the horizontal line of a subproof, simply use the underline edit button (click on the "Show more buttons" button to see it). You can use the spacebar to align everything near perfectly. Don't worry about the double space between lines
Click here to see answer by Edwin McCravy(20054)  |
Question 1210239: 1. use the proof method (M9) to construct a formal proof to demonstrate that the following argument is valid:
~(T v U), S, R ≡ ~S /.: ~(U v R)
2. use the proof method (M9) to construct a formal proof to demonstrate that the following argument is valid:
S v (~R • T), R ⊃ ~S /.: ~R
3. use the proof method (M9) to construct a formal proof to demonstrate that the following argument is valid:
S v (T ⊃ R), S ⊃ T, ~(T ⊃ R) /.: T
First, copy the argument above and paste it into the text box. Second, using the spacebar, set up your proof into two columns. Third, type or copy and paste symbols as required to complete your proof. For an assumed premise, use '→' before the line number. For the vertical line of a subproof, use '|' before the line number. For the horizontal line of a subproof, simply use the underline edit button (click on the "Show more buttons" button to see it). You can use the spacebar to align everything near perfectly. Don't worry about the double space between lines
Click here to see answer by Edwin McCravy(20054) |
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