F(x) → ∀y(E(y, x) → b(y))] states that all the times when x is a fish, if x is eaten by something, that something is sure to be a BEAR. Simplifying this, it can be said that if anyone eats fish then that anyone has to be bear. Only bears EAT fish.Explanation:Option 1: EVERY fish is eaten by some bear∀x(F(x)⇒∃y(B(y)∧E(y, x))) which means that for all x, if x is a fish, then there is a y such that y is a bear and y eats x. That is, every fish going to be eater and that too by some bear only.Option_2: Bears eat only fish∀x(B(x)⇒∀y(E(x, y)−>F(y)) which means that for every x, if x is a bear, then for all y, if x eats y, then y is a fish. That is, if bears eat ANYTHING, that anything has to be a fish.Option 3: Every bear eats fish∀x(B(x)⇒∃y(F(y)∧E(x, y)) which states that for all x, if x is a bear, then there is a y such that, y is a fish and x eats y. That is, each and every bear eats fish and fish only.

"> F(x) → ∀y(E(y, x) → b(y))] states that all the times when x is a fish, if x is eaten by something, that something is sure to be a BEAR. Simplifying this, it can be said that if anyone eats fish then that anyone has to be bear. Only bears EAT fish.Explanation:Option 1: EVERY fish is eaten by some bear∀x(F(x)⇒∃y(B(y)∧E(y, x))) which means that for all x, if x is a fish, then there is a y such that y is a bear and y eats x. That is, every fish going to be eater and that too by some bear only.Option_2: Bears eat only fish∀x(B(x)⇒∀y(E(x, y)−>F(y)) which means that for every x, if x is a bear, then for all y, if x eats y, then y is a fish. That is, if bears eat ANYTHING, that anything has to be a fish.Option 3: Every bear eats fish∀x(B(x)⇒∃y(F(y)∧E(x, y)) which states that for all x, if x is a bear, then there is a y such that, y is a fish and x eats y. That is, each and every bear eats fish and fish only.

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Given thatB(a) means “a is a bear”F(a) means “a is a fish” andE(a, b) means “a eats b”Then what is the best meaning of∀ x [F(x) → ∀ y (E(y, x) → b(y))]

Logical and Verbal Reasoning Logic in Logical and Verbal Reasoning . 6 months ago

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Concept:∀x[F(x) → ∀y(E(y, x) → b(y))] states that all the times when x is a fish, if x is eaten by something, that something is sure to be a BEAR. Simplifying this, it can be said that if anyone eats fish then that anyone has to be bear. Only bears EAT fish.Explanation:Option 1: EVERY fish is eaten by some bear∀x(F(x)⇒∃y(B(y)∧E(y, x))) which means that for all x, if x is a fish, then there is a y such that y is a bear and y eats x. That is, every fish going to be eater and that too by some bear only.Option_2: Bears eat only fish∀x(B(x)⇒∀y(E(x, y)−>F(y)) which means that for every x, if x is a bear, then for all y, if x eats y, then y is a fish. That is, if bears eat ANYTHING, that anything has to be a fish.Option 3: Every bear eats fish∀x(B(x)⇒∃y(F(y)∧E(x, y)) which states that for all x, if x is a bear, then there is a y such that, y is a fish and x eats y. That is, each and every bear eats fish and fish only.

Posted on 10 Dec 2024, this text provides information on Logical and Verbal Reasoning related to Logic in Logical and Verbal Reasoning. Please note that while accuracy is prioritized, the data presented might not be entirely correct or up-to-date. This information is offered for general knowledge and informational purposes only, and should not be considered as a substitute for professional advice.

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