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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
5
votes
2
answers
61
GO Classes CS Test Series 2025 | Discrete Mathematics | Topic Wise Test 1 | Question: 1
For a given predicate $\mathrm{P}(\mathrm{x}),$ you might believe that the statements $\forall \mathrm{xP}(\mathrm{x})$ or $\exists \mathrm{xP}(\mathrm{x})$ ... the domain, that $P(n)$ is true. Show for every element $n$ in the domain, that $P(n)$ is false.
For a given predicate $\mathrm{P}(\mathrm{x}),$ you might believe that the statements $\forall \mathrm{xP}(\mathrm{x})$ or $\exists \mathrm{xP}(\mathrm{x})$ are either tr...
GO Classes
310
views
GO Classes
asked
Apr 18, 2023
Mathematical Logic
goclasses_2025_cs_dm_tw_1
goclasses
mathematical-logic
first-order-logic
easy
1-mark
+
–
6
votes
2
answers
62
GO Classes CS Test Series 2025 | Discrete Mathematics | Topic Wise Test 1 | Question: 5
Consider the statement $\text{S} :$ "For all natural numbers $n,$ if $n$ is prime, then $n$ is antisocial." You do not need to know what antisocial means for this problem, just that it is a property ... $10$ is antisocial. $10$ is not antisocial. $7$ is antisocial. $7$ is not antisocial.
Consider the statement $\text{S} :$ "For all natural numbers $n,$ if $n$ is prime, then $n$ is antisocial."You do not need to know what antisocial means for this problem,...
GO Classes
294
views
GO Classes
asked
Apr 18, 2023
Mathematical Logic
goclasses_2025_cs_dm_tw_1
goclasses
mathematical-logic
first-order-logic
multiple-selects
easy
1-mark
+
–
7
votes
2
answers
63
GO Classes CS Test Series 2025 | Discrete Mathematics | Topic Wise Test 1 | Question: 6
Suppose $P(x, y)$ is some binary predicate defined on a very small domain of discourse: just the integers $1,2,3$, and $4.$ For each of the $16$ pairs of these numbers, $P(x, y)$ is either true or false, according to the following ... $\exists x \forall y P(x, y)$. $\exists y \forall x P(x, y)$.
Suppose $P(x, y)$ is some binary predicate defined on a very small domain of discourse: just the integers $1,2,3$, and $4.$ For each of the $16$ pairs of these numbers, $...
GO Classes
245
views
GO Classes
asked
Apr 18, 2023
Mathematical Logic
goclasses_2025_cs_dm_tw_1
goclasses
mathematical-logic
first-order-logic
multiple-selects
moderate
2-marks
+
–
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