propositional logic

Parshu gate asked Nov 14, 2017

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If Salman Khan is guilty, then no witness is lying unless he is afraid. There is a witness who is afraid. Which of the following statements is true?


	(A) Salman Khan is guilty
	(B) Salman Khan is not guilty
	(C) There is a witness who is lying
	(D) From these facts one cannot conclude that Salman Khan is guilty

Mathematical Logic
propositional-logic
discrete-mathematics

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Parshu gate asked Nov 14, 2017

Parshu gate

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Anu007

commented Nov 14, 2017

D is answer based on TIFR question.

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Parshu gate

commented Nov 14, 2017

can u provide the link?

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Anu007

commented Nov 14, 2017

https://gateoverflow.in/20939/tifr2012-a-2

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Deepak Poonia asked Aug 7, 2023

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University of Illinois Chicago UIC Math 215 Fall 2010, Test 1 Propositional Logic
Consider the following statement: If I get a perfect score on this test, then I am a genius. Decide which of the following is logically equivalent to the statement above. a) If I am a genius, then I will ... my getting a perfect score on this test. Source: http://homepages.math.uic.edu/~mubayi/215/fall10/test1sol.pdf

Consider the following statement:If I get a perfect score on this test, then I am a genius.Decide which of the following is logically equivalent to the statement above.a)...

Deepak Poonia

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Deepak Poonia asked Aug 7, 2023

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learner_geek asked Jan 22, 2019

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propositional logic
which of the following is tautology? (¬P^(P->q))->¬q ¬(p->q)->¬q [(¬p^q)^[q->(p->q)]]->¬r Both (B) and(C) please explain in detail how to check for especially for condition (C) Because “r” is only in RHS but not in LHS of this implication.

which of the following is tautology?(¬P^(P->q))->¬q¬(p->q)->¬q[(¬p^q)^[q->(p->q)]]->¬rBoth (B) and(C)please explain in detail how to check for especially for condit...

learner_geek

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learner_geek asked Jan 22, 2019

Mathematical Logic
propositional-logic
discrete-mathematics
mathematical-logic
first-order-logic
engineering-mathematics

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Prince Sindhiya asked Jan 7, 2019

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Zeal Test Series 2019: Mathematical Logic - Propositional Logic
Isn’t the 3) statement is wrong it should be [(p->r)^(q->r)]->[(p∨q)->r] \

Isn’t the 3) statement is wrong it should be [(p->r)^(q->r)]->[(p∨q)->r]\

Prince Sindhiya

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Prince Sindhiya asked Jan 7, 2019

Mathematical Logic
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Mk Utkarsh asked Jan 7, 2019

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Propositional logic self doubt
q = you can access the library r = you have a valid ID s = you have paid subscription fee of that day Consider the following English sentence “You cannot access the library if you don’t have a valid ID unless you have paid subscription fee of that day” which of the following is the correct logical expression? $q \rightarrow (r \vee s )$ $(q \rightarrow r) \vee s$

q = you can access the libraryr = you have a valid IDs = you have paid subscription fee of that dayConsider the following English sentence“You cannot access the library...

Mk Utkarsh

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Mk Utkarsh asked Jan 7, 2019

Mathematical Logic
propositional-logic
discrete-mathematics
first-order-logic
mathematical-logic

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