Recent questions and answers in Mathematical Logic

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1 answer

1

Kenneth Rosen Edition 7th Exercise 1.6 Question 30 (Page No. 80)
Use resolution to show the hypotheses “Allen is a bad boy or Hillary is a good girl” and “Allen is a good boy or David is happy” imply the conclusion “Hillary is a good girl or David is happy.”

answered Sep 7 in Mathematical Logic by tejamach (11 points) | 9 views

+1 vote

1 answer

2

How do I prepare Engineering Mathematics for Gate CS?
Good Morning, I want to start Engineering Mathematics and need help from you to know where to start and what would be the best sequence to complete the whole subject?

answered Sep 4 in Mathematical Logic by Akashniranjan (11 points) | 431 views

+1 vote

2 answers

3

UGCNET-June2013-II-40
The truth value of the statements: $\exists ! xP(x) \rightarrow \exists xP(x) \text{ and } \exists ! x \rceil P(x) \rightarrow \rceil \forall xP(x)$, (where the notation $\exists ! x P(x)$ denotes the proposition “There exists a unique $x$ such that $P(x)$ is true”) are: True and False False and True False and False True and True

answered Aug 31 in Mathematical Logic by GoalSet1 (163 points) | 546 views

+2 votes

2 answers

4

Find the number of into functions

answered Aug 26 in Mathematical Logic by Lakshman Patel RJIT Boss (46.6k points) | 1.2k views

+1 vote

1 answer

5

Knights , Knaves , spy

answered Aug 24 in Mathematical Logic by कुशाग्र गुप्ता (227 points) | 96 views

+25 votes

3 answers

6

GATE2014-3-1
Consider the following statements: P: Good mobile phones are not cheap Q: Cheap mobile phones are not good L: P implies Q M: Q implies P N: P is equivalent to Q Which one of the following about L, M, and N is CORRECT? Only L is TRUE. Only M is TRUE. Only N is TRUE. L, M and N are TRUE.

answered Aug 16 in Mathematical Logic by sohailkhan (49 points) | 2.4k views

0 votes

1 answer

7

recurrence relation
Which recurrence relation satisfy the sequence: 2, 3, 4, . . ., for n ≥ 1. A ) T(N) = 2 T(N-1) - T(N-2) B)T(N) = T(N-1) + T(N-2) C)T(N) = N+1 D) None of these

answered Aug 8 in Mathematical Logic by Rohit Suryanarayan (15 points) | 445 views

+53 votes

4 answers

8

GATE2003-33
Consider the following formula and its two interpretations $I_1$ and $I_2$. $\alpha: (\forall x)\left[P_x \Leftrightarrow (\forall y)\left[Q_{xy} \Leftrightarrow \neg Q_{yy} \right]\right] \Rightarrow (\forall x)\left[\neg P_x\right]$ $I_1$ : Domain: the set of ... , $I_1$ does not Neither $I_1$ nor $I_2$ satisfies $\alpha$ Both $I_1$ and $I_2$ satisfies $\alpha$

answered Aug 6 in Mathematical Logic by MRINMOY_HALDER Active (2.1k points) | 4.1k views

0 votes

1 answer

9

Probability
Prabha is working in a software company. Her manager is running a dinner for those employees having atleast one son. If Prabha is invited to the dinner and everyone knows she has two children. What is the probability that they are both boys?

answered Jul 20 in Mathematical Logic by bankeshk (27 points) | 38 views

+1 vote

1 answer

10

relation
A binary relation R on Z × Z is defined as follows: (a, b) R (c, d) iff a = c or b = d Consider the following propositions: 1. R is reflexive. 2. R is symmetric. 3. R is antisymmetric. Which one of the following statements is True? A Both 1 and 2 are true B 1 is true and 2 is false C 1 is false and 3 is true D Both 2 and 3 are true

answered Jul 12 in Mathematical Logic by mohan123 Junior (759 points) | 65 views

+2 votes

2 answers

11

UGCNET-June-2019-II-8
Match List-I with List-II: ... ) - (iv); (b) - (i); (c) - (iii); (d) - (ii) (a) - (iv); (b) - (iii); (c) - (i); (d) - (ii)

answered Jul 7 in Mathematical Logic by Lakshmikanta (27 points) | 85 views

+3 votes

2 answers

12

UGCNET-June-2019-II-6
Which of the following is principal conjunctive normal form for $[(p\vee q)\wedge\ \rceil p \rightarrow \rceil q ]$ ? $p\ \vee \rceil q$ $p \vee q $ $\rceil p \vee q$ $\rceil p\ \vee \rceil q$

answered Jul 7 in Mathematical Logic by Satbir Boss (18.1k points) | 113 views

0 votes

1 answer

13

MadeEasy Test Series: Probability
How to get the idea that we have to use Binomial distribution or Hypergeometric Distribution. I know that if the probability is not changing(i.e with replacement) then we go Binomial otherwise Hypergeometric. But in question, it is not indicating ... So is there any by default approach that we have to use Binomial if nothing is a mention about a replacement.

answered Jun 13 in Mathematical Logic by vizzard110 (113 points) | 33 views

+3 votes

1 answer

14

TIFR2017-B-6
Consider the First Order Logic (FOL) with equality and suitable function and relation symbols. Which of the following is FALSE? Partial orders cannot be axiomatized in FOL FOL has a complete proof system Natural numbers cannot be axiomatized in FOL Real numbers cannot be axiomatized in FOL Relational numbers cannot be axiomatized in FOL

answered Jun 8 in Mathematical Logic by Arjun Veteran (418k points) | 189 views

0 votes

1 answer

15

GATE1988-14i
Consider the following well-formed formula: $\exists x \forall y [ \neg \: \exists z [ p (y, z) \wedge p (z, y) ] \equiv p(x,y)]$ Express the above well-formed formula in clausal form.

answered Jun 7 in Mathematical Logic by Arjun Veteran (418k points) | 153 views

+1 vote

2 answers

16

UGCNET-Dec2015-II-6
Which of the following arguments are not valid ? "If Gora gets the job and works hard, then he will be promoted. if Gora gets promotion, then he will be happy. He will not be happy, therefore, either he will not get the job or he will not work hard." "Either Puneet is not ... $n^2 > 1$, then $n>1$. a and c b and c a,b, and c a and b

answered Jun 6 in Mathematical Logic by Satbir Boss (18.1k points) | 1.4k views

+1 vote

1 answer

17

Mathematical Logic Ques:Self doubt
“Not every satisfiable logic is valid” Representation of it will be $1)\sim \left ( \forall S(x)\rightarrow V(x) \right )$ or $2)\sim \left ( \forall S(x)\vee V(x) \right )$ Among $1)$ and $2)$, which one is correct? and why?

answered Jun 4 in Mathematical Logic by Satbir Boss (18.1k points) | 127 views

+26 votes

2 answers

18

GATE2005-41
What is the first order predicate calculus statement equivalent to the following? "Every teacher is liked by some student" $∀(x)\left[\text{teacher}\left(x\right) → ∃(y) \left[\text{student}\left(y\right) → \text{likes}\left(y,x\right)\right]\right]$ ...

answered Jun 3 in Mathematical Logic by MRINMOY_HALDER Active (2.1k points) | 2.8k views

+1 vote

1 answer

19

Doubt on GATE Question
Read the statements: All women are entrepreneurs. Some women are doctors. Which of the following conclusions can be logically inferred from the above statements? All women are doctors All doctors are entrepreneurs All entrepreneurs are women Some entrepreneurs are doctors ... Is it because , if we make set of doctor as 0, then All doctors are entrepreneurs is meaningless.

answered Jun 1 in Mathematical Logic by Hirak Active (3.4k points) | 51 views

+1 vote

1 answer

20

Mathematical Logic: Doubt on meaning of statement
The notation $\exists ! x P(x)$ denotes the proposition there exists a unique $x$ such that $P(x)$ ... What will be answer here?? Is the assumption only for left hand side and not right hand side??

answered May 31 in Mathematical Logic by Satbir Boss (18.1k points) | 76 views

+13 votes

4 answers

21

TIFR2011-A-1
If either wages or prices are raised, there will be inflation. If there is inflation, then either the government must regulate it or the people will suffer. If the people suffer, the government will be unpopular. Government will not be unpopular. Which of the ... are not raised Prices are not raised If the inflation is not regulated, then the prices are not raised Wages are not raised

answered May 31 in Mathematical Logic by srestha Veteran (114k points) | 686 views

+7 votes

4 answers

22

TIFR2010-A-4
If the bank receipt is forged, then Mr. M is liable. If Mr. M is liable, he will go bankrupt. If the bank will loan him money, he will not go bankrupt. The bank will loan him money. Which of the following can be concluded from the above statements? Mr. M is liable The receipt is not forged Mr. M will go bankrupt The bank will go bankrupt None of the above

answered May 31 in Mathematical Logic by srestha Veteran (114k points) | 491 views

0 votes

1 answer

23

Kenneth Rosen Edition 7th Exercise 1.4 Question 47 (Page No. 56)
Establish these logical equivalences, where $x$ does not occur as a free variable in $A$. Assume that the domain is nonempty. $(\forall x P(x)) \wedge A \equiv \forall x (P(x) \wedge A)$ $(\exists x P(x)) \wedge A \equiv \exists x (P(x) \wedge A)$

answered May 30 in Mathematical Logic by srestha Veteran (114k points) | 35 views

+1 vote

0 answers

24

Descrete Mathematic ACE Text Book Practice Question #16
A women's health clinic has four doctors and each patient is assigned to one of them. If a patient givs birth btween 8 am and 4 pm, then her chance of being attended by her assigned doctor is 3/4, otherwise it is 1/4. What is the probability that ... is attended by the assigned doctor when she gives birth? (A) 25/144 (B) 5/12 (C) 7/12 (D) 1/12 [closed]

asked May 30 in Mathematical Logic by JAYKISHAN (89 points) | 68 views

0 votes

1 answer

25

Proposition Logic Question
Are these propositions? 1.This sentence is true 2.This sentence is false Aren’t these liar paradox?

answered May 30 in Mathematical Logic by ankitgupta.1729 Boss (14.3k points) | 121 views

0 votes

1 answer

26

Kenneth Rosen Edition 7th Exercise 1.2 Question 34 (Page No. 24)
Five friends have access to a chat room. Is it possible to determine who is chatting if the following information is known? Either Kevin or Heather, or both, are chatting. Either Randy or Vijay, but not both, are ... either both chatting or neither is. If Heather is chatting, then so are Abby and Kevin. Explain your reasoning.

answered May 29 in Mathematical Logic by ankitgupta.1729 Boss (14.3k points) | 44 views

0 votes

2 answers

27

Kenneth Rosen Edition 7th Exercise 1.2 Question 33 (Page No. 24)
Steve would like to determine the relative salaries of three coworkers using two facts. First, he knows that if Fred is not the highest paid of the three, then Janice is. Second, he knows that if Janice is not the lowest paid, ... and Janice from what Steve knows? If so, who is paid the most and who the least? Explain your reasoning.

answered May 29 in Mathematical Logic by ankitgupta.1729 Boss (14.3k points) | 33 views

0 votes

1 answer

28

Kenneth Rosen Edition 7th Exercise 1.2 Question 32 (Page No. 23)
The police have three suspects for the murder of Mr. Cooper: Mr. Smith, Mr Jones, Mr. Williams. Smith Jones, and Williams each declare that they did not kill Cooper. Smith also states that Cooper was friend of Jones and that ... telling the truth, but the statements of the guilty man may or may not b true? innocent men do not lie?

answered May 29 in Mathematical Logic by ankitgupta.1729 Boss (14.3k points) | 30 views

0 votes

1 answer

29

Kenneth Rosen Edition 7th Exercise 1.2 Question 23 (Page No. 23)
Relate to inhabitants of the island of knights and knaves created by Smullyan, where knights always tell the truth and knaves always lie. You encounter two people, $A$ and $B$. Determine, if possible, what $A$ and $B$ are if ... what these people are, can you draw any conclusions? $A$ says We are both knaves and $B$ says nothing.

answered May 28 in Mathematical Logic by ankitgupta.1729 Boss (14.3k points) | 25 views

0 votes

1 answer

30

Kenneth Rosen Edition 7th Exercise 1.2 Question 22 (Page No. 23)
Relate to inhabitants of the island of knights and knaves created by Smullyan, where knights always tell the truth and knaves always lie. You encounter two people, $A$ and $B$. Determine, if possible, what $A$ and $B$ are if they ... determine what these people are, can you draw any conclusions ? Both $A$ and $B$ say I am a knight.

answered May 28 in Mathematical Logic by ankitgupta.1729 Boss (14.3k points) | 17 views

0 votes

1 answer

31

Kenneth Rosen Edition 7th Exercise 1.2 Question 20 (Page No. 23)
relate to inhabitants of the island of knights and knaves created by Smullyan, where knights always tell the truth always lie. You encounter two people. A and B. Determine, if possible, what A and B are if they address you in the ways ... can you draw any conclusions? A says The two of us are both knights and B says A is knave.

answered May 28 in Mathematical Logic by ankitgupta.1729 Boss (14.3k points) | 51 views

0 votes

1 answer

32

Kenneth Rosen Edition 7th Exercise 1.2 Question 19 (Page No. 23)
Relate to inhabitants of the island of knights and knaves created by Smullyan, where knights always tell the truth and knaves always lie. You encounter two people, $A$ and $B$. Determine, if possible, what $A$ and $B$ are if they address ... can you draw any conclusions ? $A$ says At least one of us is a knave and $B$ says nothing.

answered May 28 in Mathematical Logic by ankitgupta.1729 Boss (14.3k points) | 34 views

0 votes

1 answer

33

Kenneth Rosen Edition 7th Exercise 1.2 Question 17 (Page No. 23)
When three professors are seated in a restaurant, the hostess asks them: Does everyone want coffee ? The first professor says: I do not know. The second professor then says: I do not know. Finally, the third ... The hostess comes back and gives coffee to the professors who want it. How did she figure out who wanted coffee?

answered May 28 in Mathematical Logic by ankitgupta.1729 Boss (14.3k points) | 24 views

0 votes

0 answers

34

Self Doubt-LA
In a non-homogeneous equation Ax = b, x has a unique solution when $A^{-1}$ exists i.e x = $A^{-1}$b but when det(A) = 0 then we have infinite solution or many solution. please give a mathematical explanation of how the 2nd statement occurs?

asked May 26 in Mathematical Logic by MRINMOY_HALDER Active (2.1k points) | 35 views

+1 vote

0 answers

35

Self Doubt:Mathematical Logic
Represent these two statement in first order logic: $A)$ Only Alligators eat humans $B)$ Every Alligator eats humans Is Every represents $\equiv \exists$ and Only represents $\equiv \forall$ ?? Can we differentiate it with verb ‘eat’ and ‘eats’??

asked May 18 in Mathematical Logic by srestha Veteran (114k points) | 45 views

0 votes

0 answers

36

self doubt consistency and satisfiability
how can we link consistency and satisfiability ? are they bidirectional? plz help

asked May 10 in Mathematical Logic by Manoj Kumar Pandey (157 points) | 20 views

0 votes

0 answers

37

Discrete mathematics and its application 7th ed - Kenneth H. Rosen
Do i have to study the whole chapter Logics and Proofs in Discrete mathematics and its applications by Kenneth H. Rosen if not upto which portion should i study.

asked May 1 in Mathematical Logic by souren (37 points) | 49 views

0 votes

0 answers

38

Made Easy Test Series:Discrete Math-Mathematical Logic
Consider the following first order logic statement $I)\forall x\forall yP\left ( x,y \right )$ $II)\forall x\exists yP\left ( x,y \right )$ $III)\exists x\exists yP\left ( x,y \right )$ $III)\exists x\forall yP\left ( x,y \right )$ Which one ... true , then $III),IV)$ is true $B)$ If $IV)$ is true , then $II),III)$ is true $C)$ None of these

asked Apr 27 in Mathematical Logic by srestha Veteran (114k points) | 62 views

0 votes

1 answer

39

self doubt about maths practice
Where can i find only maths PYQ all branches . for practice ?

answered Apr 26 in Mathematical Logic by gaurav1.yuva (447 points) | 32 views

0 votes

0 answers

40

Discrete Mathematics [Self Doubt]
Is this statement valid: $(\exists x(P(x)\rightarrow Q(x)) )\rightarrow (\exists xP(x)\rightarrow \exists xQ(x))$

asked Apr 14 in Mathematical Logic by GATE_aspirant_2021 (41 points) | 46 views

tags	tag:apple
author	user:martin
title	title:apple
content	content:apple
exclude	-tag:apple
force match	+apple
views	views:100
score	score:10
answers	answers:2
is accepted	isaccepted:true
is closed	isclosed:true

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