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What else can I help you with?
Is the rule of universal introduction necessary to predicate logic derivations?
It depends what you mean by "necessary". There is a choice of different systems for (classical) predicate logic, but they all give the same results. Universal introduction is certainly a valid principle in predicate logic, so the question is: Does universal introduction have to be one of the basic rules of the system? The answer is no. It can be a derived principle. It is even possible to introduce "for all" as a derived symbol, and only have "there exists" in the basic system. The basic system would have a couple of rules controlling "there exists", and from these rules universal introduction would be a derived principle.
Show that the natural set of numbers is an unbounded set?
Here is a correct proof by contradiction. Assume that the natural numbers are bounded, then there exists a least upper bound in the real numbers, call it x, such that n ≤ x for all n. Consider x - 1. Since x is the least upper bound, then x - 1 is not an upper bound; i.e. there exists a specific n such that x - 1 < n. But then, x - 1 < n implies x < n + 1, hence x is not an upper bound. QED This concludes the proof; i.e. there exists no upper bound in the real numbers for the set of natural numbers. P.S. There exists sets in which the set of natural numbers are bounded, but these are not in the real number system.
Why do they have a cub called Kopa on the Lion King when he doesn't exist on the sequel called Simba's Pride?
Because Kopa exists in the book universe while Disney has given its stamp of approval on many different storybooks which contents contradict each others, including those books wherin Kopa exists. Thus Disney apparently wants to have its profit fanfiction collection as the book universe, separated from the official movie universe. Meaning, the books are not meant to be semi-canon and thus they and the movies are not meshing together in any official way.
Does caillou exists in real life?
Well partially what i want too know if he's in really basically does he exists
Is there a show bag that was around at the first ekka show that still exists?
is there a show bag that was around at the first ekka show that still exists
Should I go to Rivendell if I'm depressed?
That would be impossible as Rivendell only exists in Tolkien's books and the movies derived from them.
How do you Come a mermaid when you say mermaid?
even though Mermaids don't exists apparently from my messed up childhood, you have to be born a mermaid to be one
What happened to Nick Jr Radio?
Nothing, it apparently still exists on Pandora & Last.fm... at least they show up in a Google search as being there.
Did John de Courcy have any children?
Apparently not. In Ireland, he had a "political" marriage to Affreca, daughter of the King of Mann, and no record exists of her bearing him any children.
Why is there type casting in java?
Type casting exists to allow the use of base class or base interface reference but yet if you know that the object in hand is aspecific derived class, you can typecast and access methods available only in the derived class.
How old is Boogeyman?
Nobody really knows anything about the supposedly called "boogeyman" and no scientists can really know if he/she really exists or not. this mystery also concludes that there is no way of knowing the boogeyman's age. See links for more information. Posted to you by cooie123.
How can people still see the cave art in the lascaux cave since the cave shut down?
In a painstakingly-built and illustrated, artificial copy. Limited access to the original exists but only for genuine research.
What type of fossil fuel exists in a gaseous state?
Natural gas exists in a gaseous state, derived from organic material buried deep underground. It is a clean-burning fossil fuel used for heating, electricity generation, and as a fuel for vehicles.
what does the Spanish name Benito mean?
It means "blessed", it also exists in Italian.
Is the rule of universal introduction necessary to predicate logic derivations?
It depends what you mean by "necessary". There is a choice of different systems for (classical) predicate logic, but they all give the same results. Universal introduction is certainly a valid principle in predicate logic, so the question is: Does universal introduction have to be one of the basic rules of the system? The answer is no. It can be a derived principle. It is even possible to introduce "for all" as a derived symbol, and only have "there exists" in the basic system. The basic system would have a couple of rules controlling "there exists", and from these rules universal introduction would be a derived principle.
Name the property illustrated by the following x plus -x equals 0?
This is the existence of additive inverse: For every number, x, there exists a number, denoted by (-x), such that x + (-x) = (-x) + x = 0.
How is natural Laws related to natural rights?
Natural law is derived from nature and binding upon human society. Natural rights are any right that exists by virtue of natural law.
