Question types

Rules of conjecture question types

204 questions across 5 question groups — pick any mix to generate a Philosophy paper with step-by-step answer keys.

204
Questions
5
Question groups
5
Question types
Sample Questions

Rules of conjecture questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Write the following arguments as the substitution of the standard form according to which rule of conjecture
[R $\rightarrow$ (S v T)] $\rightarrow$ [A & (B v C)]
[S $\rightarrow$ (R T)] $\rightarrow$ [(A & B) v (B & C)]
[R $\rightarrow$ (S v T)] v [S$\rightarrow$ (R T)]
$\therefore$ [A & (B V C)] v [(A & B) v (B & C)]
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Write the following arguments as the substitution of the standard form according to which rule of conjecture
(C v D) $\rightarrow$ [(E & F) v (G &H)]
[(E & F) v (G & H] $\rightarrow$ (J & K)
$\therefore$ C v D) $\rightarrow$ (J & K)
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Fill in the blanks in the following metaphorical proofs.
(1) (P & R) v ~ S P
(2) (P & R) $\rightarrow$ ~ P
(3) M $\rightarrow$ ~ ~ T P
(4) ~ S $\rightarrow$ (A & B) P
(5) M P/$\therefore$ A v (R & S)
(6) ~ ~ T ................
(7) ~(P&R) ................
(8) ~ S ................
(9) A & B ................
(10) A ................
(11) A v (R & S) ................
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Fill in the blanks in the following metaphorical proofs.
(1) (A $\leftrightarrow$ B) $\rightarrow$ R P
(2) ~ P v (B & D) P
(3) B $\rightarrow$ (R S) P
(4) ~ ~ P P/$\therefore$ D&[(A B) $\rightarrow$ S]
(5)B & D ................
(6) B ................
(7)R S ................
(8) (A $\leftrightarrow$B) $\rightarrow$S ................
(9) D ................
(10) D & [(A $\leftrightarrow$B) $\rightarrow$ S] ................
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Fill in the blanks in the following metaphorical proofs.
(1)(R v S) v ~ T P
(2)P $\rightarrow$ [(R v S) $\rightarrow$ Z] P
(3)W $\rightarrow$ (~ T $\rightarrow$ M) P
(4) P & W P/$\therefore$ (Z v M) v R
(5) P ................
(6)( R v S) $\rightarrow$ Z ................
(7) W ................
(8) ~ T $\rightarrow$ M ................
(9) Z v M ................
(10) (Z v M) v R ................
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Fill in the blanks in the following metaphorical proofs.
(1) (A & B) $\rightarrow$ (R v s) P
(2) P v ~(M & N) P
(3) (A & B) v ~ P
(4)(H & J) $\rightarrow$ (M & N) P
(5) ~(R v S) P/ $\therefore$ (H & J) &~P
(6) ~(A & B) 7 ................
(7) ~ P ................
(8) ~ (M & N) ................
(9) ~(H & J) ................
(10) ~(H & J) &~P ................
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Prove that the following arguments are standard by constructing metaphorical proof
$(P \rightarrow Q)\ \&\ (R \rightarrow S)$
$(Q \rightarrow T)\ \&\ (P\ v\ R)$
$\sim T$
$(T\ v\ S)\ \&\ \sim T$
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