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Webpage for Mathematical Logic
Important Question Types:
Checking validity of First Order Logic Statements
Checking validity of Propositional Logic
Recent questions tagged mathematical-logic
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GO Classes Weekly Quiz 4 | Propositional Logic | Question: 4
If $\mathbf{p}$ is true, $\mathbf{q}$ is true, and $\mathbf{r}$ is true, find the truth value of the statement. $ (p \wedge q) \leftrightarrow(q \vee \sim r) $ Choose the correct answer below. True because $(p \wedge q)$ ... and $(q \vee \sim r)$ is false. False because $(p \wedge q)$ is true and $(q \vee \sim r)$ is true.
GO Classes
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GO Classes
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goclasses2024_wq4
goclasses
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GO Classes Weekly Quiz 4 | Propositional Logic | Question: 5
If $p$ is true and $q$ is false then the truth values of $(p \rightarrow q) \leftrightarrow(\sim q \rightarrow \sim p)$ and $(\sim p \vee \sim q) \wedge(\sim q \vee p)$ are respectively True, True True, False False, False False, True
GO Classes
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GO Classes
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goclasses2024_wq4
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GO Classes Weekly Quiz 4 | Propositional Logic | Question: 6
If $(p \wedge \sim q) \wedge(p \wedge r) \rightarrow \sim p \vee q$ is false, then the truth values of $p, q$ and $r$ are, respectively : $F, T, F$ $T, F, T$ $T, T, T$ $F, F, F$
GO Classes
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GO Classes
56
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goclasses2024_wq4
goclasses
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1
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GO Classes Weekly Quiz 4 | Propositional Logic | Question: 7
If $p, q, r$ are simple statement with truth values $T, F, T$ respectively then the truth value of $((\sim p \vee q) \wedge r) \rightarrow p$ is : True False True if $r$ is false True if $q$ is true
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GO Classes
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goclasses2024_wq4
goclasses
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3
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GO Classes Weekly Quiz 4 | Propositional Logic | Question: 8
A very special island, "Smullyan's island", is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You encounter two people, $\text{A}$ and $\text{B. A}$ says " ... , respectively, if they address you in the above way described: Knight, Knight Knight, Knave Knave, Knight Knave, Knave
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GO Classes
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goclasses2024_wq4
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2-marks
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self doubt
how to write if and only if symbolic form explain in detail????
Çșȇ ʛấẗẻ
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Mathematical Logic
3 days
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Çșȇ ʛấẗẻ
21
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self-doubt
discrete-mathematics
matematical
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0
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1
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explain universal quantifiers and existential quantifiers with example what is De morgan's law for quantifiers
gund pragati sunil
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Mathematical Logic
Mar 11
by
gund pragati sunil
47
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mathematical-logic
0
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1
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explain with example, notations used and mathematical expressions to describe the following terms .i)membership ii) subset iii) equality of two sets iv) union
gund pragati sunil
asked
in
Mathematical Logic
Mar 11
by
gund pragati sunil
37
views
mathematical-logic
set-theory
6
votes
3
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GATE CSE 2023 | Question: 16
Geetha has a conjecture about integers, which is of the form \[ \forall x(P(x) \Longrightarrow \exists y Q(x, y)), \] where $P$ is a statement about integers, and $Q$ is a statement about pairs of integers. Which of the following (one or more) option(s) would imply ... $\exists y \forall x(P(x) \Longrightarrow Q(x, y))$ $\exists x(P(x) \wedge \exists y Q(x, y))$
admin
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Mathematical Logic
Feb 15
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admin
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10
Kenneth Rosen Edition 7 Exercise 1.3 Question 36 (Page No. 35)
When does s∗ = s, where s is a compound proposition?
pavan singh
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Mathematical Logic
Jan 22
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pavan singh
73
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kenneth-rosen
discrete-mathematics
propositional-logic
mathematical-logic
1
vote
1
answer
11
DRDO CSE 2022 Paper 1 | Question: 12
Given two propositions $P$ and $Q$. "if $P$ then $Q$" denoted by $P \rightarrow Q$ is called Implication. Such implication and its ____________ are logically equivalent.
admin
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Mathematical Logic
Dec 15, 2022
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admin
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drdocse-2022-paper1
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First Order Logic:
[email protected]
Test series
Shoto
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Dec 12, 2022
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Shoto
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