The sentence ∀x∃y∃z(x=z+z) looks a bit peculiar because of the quantification of the vari- able y, which does not appear within the scope of the quanti- fier. (The same peculiarity appears in part (c) of this problem.) Nonetheless, the sentence is perfectly legal. If we interpret it in natural numbers, is it true? How would you write an equivalent formula without using the quantifier y?

The sentence ∀x∃y∃z(x=z+z) looks a bit peculiar because of the quantification of the vari- able y, which does not appear within the scope of the quanti- fier. (The same peculiarity appears in part (c) of this problem.) Nonetheless, the sentence is perfectly legal. If we interpret it in natural numbers, is it true? How would you write an equivalent formula without using the quantifier y?

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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