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The existential quantifier ∃ is often used in logic to express existence.. Existence is the state of having being or reality in contrast to nonexistence and nonbeing.Existence is often contrasted with essence: the essence of an entity is its essential features or qualities, which can be understood even if one does not know whether the entity exists.
In English, existential clauses usually use the dummy subject construction (also known as expletive) with there (infinitive: there be), as in "There are boys in the yard", but there is sometimes omitted when the sentence begins with another adverbial (usually designating a place), as in "In my room (there) is a large box."
The void is the opposite of being. It is not-being. On the other hand, there exists something known as an absolute plenum, a space filled with matter, and there can be no motion in a plenum because it is completely full. But, there is not just one monolithic plenum, for existence consists of a multiplicity of plenums.
It does not matter that "=" is true only for that single natural number, 5; the existence of a single solution is enough to prove this existential quantification to be true. In contrast, "For some even number n {\displaystyle n} , n × n = 25 {\displaystyle n\times n=25} " is false, because there are no even solutions.
In logic, a set of symbols is commonly used to express logical representation. The following table lists many common symbols, together with their name, how they should be read out loud, and the related field of mathematics.
Aristotle describes potentiality and actuality, or potency and action, as one of several distinctions between things that exist or do not exist. In a sense, a thing that exists potentially does not exist; but, the potential does exist. This type of distinction is expressed for several different types of being within Aristotle's categories of being.
Long before "Twilight" put Jacob on the map, werewolves have been the subject of countless movies, books and monster tales.. In fact, much like ghosts, witches and vampires, the werewolf has been ...
Given that "Pegasus does not exist" is true, it follows that the referent of "Pegasus" does not exist. Hence there is something—the referent of "Pegasus"—that does not exist. Some philosophers, such as Alexius Meinong have argued that there are two senses of the verb "exists", exemplified by the sentence "there are things that do not exist".