Mixing
Show that the argument form with premises (p∧t)→…¬s and conclusion q→r is valid
1
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Stuck on this problem. I want to use the rules of inference to show that the argument form with premises (p∧t)→(r∨s), q→(u∧t),u→p, and ¬s and conclusion q→r is valid. Would really appreciate if someone can help me solve it and explain which rules they used
discrete-mathematics logic
asked Jan 24 at 22:45
NevNev
305
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add a comment |
1
$begingroup$
Stuck on this problem. I want to use the rules of inference to show that the argument form with premises (p∧t)→(r∨s), q→(u∧t),u→p, and ¬s and conclusion q→r is valid. Would really appreciate if someone can help me solve it and explain which rules they used
discrete-mathematics logic
asked Jan 24 at 22:45
NevNev
305
$endgroup$
1
$begingroup$
Which rules of inference are you allowed to use?
$endgroup$
– Taroccoesbrocco
Jan 25 at 0:35
$begingroup$
@Taroccoesbrocco all of them
$endgroup$
– Nev
Jan 25 at 1:40
$begingroup$
HINT Try a conditional proof
$endgroup$
– Bram28
Jan 25 at 2:54
$begingroup$
@Nev different systems may use different rules (Or rules by different names). Which are yours?
$endgroup$
– Graham Kemp
Jan 25 at 5:59
$begingroup$
@GrahamKemp modus ponens, modus tollens, hypothetical syllogism, disjunctive syllogism, rule of proof by case, rule of contradiction, rule of simplification, rule of addition, rule of resolution
$endgroup$
– Nev
Jan 25 at 19:34
add a comment |
1
1
1
$begingroup$
Stuck on this problem. I want to use the rules of inference to show that the argument form with premises (p∧t)→(r∨s), q→(u∧t),u→p, and ¬s and conclusion q→r is valid. Would really appreciate if someone can help me solve it and explain which rules they used
discrete-mathematics logic
asked Jan 24 at 22:45
NevNev
305
$endgroup$
Stuck on this problem. I want to use the rules of inference to show that the argument form with premises (p∧t)→(r∨s), q→(u∧t),u→p, and ¬s and conclusion q→r is valid. Would really appreciate if someone can help me solve it and explain which rules they used
discrete-mathematics logic
discrete-mathematics logic
asked Jan 24 at 22:45
NevNev
305
asked Jan 24 at 22:45
NevNev
305
asked Jan 24 at 22:45
NevNev
305
asked Jan 24 at 22:45
NevNev
305
asked Jan 24 at 22:45
NevNev
305
305
1
$begingroup$
Which rules of inference are you allowed to use?
$endgroup$
– Taroccoesbrocco
Jan 25 at 0:35
$begingroup$
@Taroccoesbrocco all of them
$endgroup$
– Nev
Jan 25 at 1:40
$begingroup$
HINT Try a conditional proof
$endgroup$
– Bram28
Jan 25 at 2:54
$begingroup$
@Nev different systems may use different rules (Or rules by different names). Which are yours?
$endgroup$
– Graham Kemp
Jan 25 at 5:59
$begingroup$
@GrahamKemp modus ponens, modus tollens, hypothetical syllogism, disjunctive syllogism, rule of proof by case, rule of contradiction, rule of simplification, rule of addition, rule of resolution
$endgroup$
– Nev
Jan 25 at 19:34
add a comment |
1
$begingroup$
Which rules of inference are you allowed to use?
$endgroup$
– Taroccoesbrocco
Jan 25 at 0:35
$begingroup$
@Taroccoesbrocco all of them
$endgroup$
– Nev
Jan 25 at 1:40
$begingroup$
HINT Try a conditional proof
$endgroup$
– Bram28
Jan 25 at 2:54
$begingroup$
@Nev different systems may use different rules (Or rules by different names). Which are yours?
$endgroup$
– Graham Kemp
Jan 25 at 5:59
$begingroup$
@GrahamKemp modus ponens, modus tollens, hypothetical syllogism, disjunctive syllogism, rule of proof by case, rule of contradiction, rule of simplification, rule of addition, rule of resolution
$endgroup$
– Nev
Jan 25 at 19:34
1
1
$begingroup$
Which rules of inference are you allowed to use?
$endgroup$
– Taroccoesbrocco
Jan 25 at 0:35
$begingroup$
Which rules of inference are you allowed to use?
$endgroup$
– Taroccoesbrocco
Jan 25 at 0:35
$begingroup$
@Taroccoesbrocco all of them
$endgroup$
– Nev
Jan 25 at 1:40
$begingroup$
@Taroccoesbrocco all of them
$endgroup$
– Nev
Jan 25 at 1:40
$begingroup$
HINT Try a conditional proof
$endgroup$
– Bram28
Jan 25 at 2:54
$begingroup$
HINT Try a conditional proof
$endgroup$
– Bram28
Jan 25 at 2:54
$begingroup$
@Nev different systems may use different rules (Or rules by different names). Which are yours?
$endgroup$
– Graham Kemp
Jan 25 at 5:59
$begingroup$
@Nev different systems may use different rules (Or rules by different names). Which are yours?
$endgroup$
– Graham Kemp
Jan 25 at 5:59
$begingroup$
@GrahamKemp modus ponens, modus tollens, hypothetical syllogism, disjunctive syllogism, rule of proof by case, rule of contradiction, rule of simplification, rule of addition, rule of resolution
$endgroup$
– Nev
Jan 25 at 19:34
$begingroup$
@GrahamKemp modus ponens, modus tollens, hypothetical syllogism, disjunctive syllogism, rule of proof by case, rule of contradiction, rule of simplification, rule of addition, rule of resolution
$endgroup$
– Nev
Jan 25 at 19:34
add a comment |
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1
$begingroup$
Which rules of inference are you allowed to use?
$endgroup$
– Taroccoesbrocco
Jan 25 at 0:35
$begingroup$
@Taroccoesbrocco all of them
$endgroup$
– Nev
Jan 25 at 1:40
$begingroup$
HINT Try a conditional proof
$endgroup$
– Bram28
Jan 25 at 2:54
$begingroup$
@Nev different systems may use different rules (Or rules by different names). Which are yours?
$endgroup$
– Graham Kemp
Jan 25 at 5:59
$begingroup$
@GrahamKemp modus ponens, modus tollens, hypothetical syllogism, disjunctive syllogism, rule of proof by case, rule of contradiction, rule of simplification, rule of addition, rule of resolution
$endgroup$
– Nev
Jan 25 at 19:34