Question 2 Write a logic formula for each of the following statements: (a.) "There exists a natural number that is larger than some odd natural number". (b.) "Every odd integer can be written in the form 2m+1, for some integer m". You may use the following predicates: • Odd(x) = "x is an odd number" • x > y = "x is larger than y" (For examples on how to write formulas, please look at Extra Exercises on Predicate Logic.)

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Question 2
Write a logic formula for each of the following
statements:
(a.) "There exists a natural number that is larger
than some odd natural number".
(b.) "Every odd integer can be written in the form
2m+1, for some integer m".
You may use the following predicates:
• Odd(x) = "x is an odd number"
• x > y = "x is larger than y"
(For examples on how to write formulas, please look
at Extra Exercises on Predicate Logic.)
Transcribed Image Text:Question 2 Write a logic formula for each of the following statements: (a.) "There exists a natural number that is larger than some odd natural number". (b.) "Every odd integer can be written in the form 2m+1, for some integer m". You may use the following predicates: • Odd(x) = "x is an odd number" • x > y = "x is larger than y" (For examples on how to write formulas, please look at Extra Exercises on Predicate Logic.)
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