Write down suitable mathematical statement that can be represented by

Question

Write down suitable mathematical statement that can be represented by the following symbolic properties.

i) ( ∃ x) ( ∃ y) ( ∀ z)P

ii) ∀ (z) ( ∃ y) ( ∃ z)Q

15 Sep 2022

Answer :

Word Count : 337

i) The symbolic properties ( ∃ x) ( ∃ y) ( ∀ z)P can be represented as: "There exists an x and a y such that for all z, P is true." This statement asserts that there are at least two objects, x and y, for which the predicate P is true for all values of z. In other words, P is universally true over the entire domain for those particular x and y.

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