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Description: There is a positive integer that is divisible by every prime number.Symbolize the above statement using two quantifiers. Define the domains and anypredicates that you used.

Math

Advanced Math

There is a positive integer that is divisible by every prime number. Symbolize the above statement using two quantifiers. Define the domains and any predicates that you used.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.

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Question

There is a positive integer that is divisible by every prime number.
Symbolize the above statement using two quantifiers. Define the domains and any
predicates that you used.

Expert Solution

Solution:

The statement is, "There is a positive integer that is divisible by every prime number".

Positive integer: x

Prime number: y

It can be symbolizes as $\forall y \exists x : y | x$

Step by step

Solved in 2 steps

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$Propositional Calculus$

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