For each of the following English sentences, convert them to a predicate logic proposition. Use the predicates given. a) All painters uses at least two brushes. Let the domain be painters and brushes. • P(x): True if x is a painter • B(x): True if x is a brush • U(x,y): True if painter x uses brush y b) All integers have a number greater than them. Let the domain be all integers. • Z(x): True if x is an integer • GT(x,y): True if x is greater than y. You may also use r > y

For each of the following English sentences, convert them to a predicate logic proposition. Use the predicates given. a) All painters uses at least two brushes. Let the domain be painters and brushes. • P(x): True if x is a painter • B(x): True if x is a brush • U(x,y): True if painter x uses brush y b) All integers have a number greater than them. Let the domain be all integers. • Z(x): True if x is an integer • GT(x,y): True if x is greater than y. You may also use r > y

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Description: For each of the following English sentences, convert them to a predicate logic proposition.Use the predicates given.a) All painters uses at least two brushes. Let the domain be painters and brushes.• P(x): True if x is a painter• B(x): True if x is

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

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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

For each of the following English sentences, convert them to a predicate logic proposition.
Use the predicates given.
a) All painters uses at least two brushes. Let the domain be painters and brushes.
• P(x): True if x is a painter
• B(x): True if x is a brush
• U(x,y): True if painter x uses brush y
b) All integers have a number greater than them. Let the domain be all integers.
• Z(x): True if x is an integer
• GT(x,y): True if x is greater than y. You may also use x > y

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