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"necessary existence" is a correct phrase and can be used in written English.
It is used to describe something that is essential or needed to exist. For example, "A robust legal system is a necessary existence in a modern, democratic society."
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God's necessity, then, must be an ontologically, or factually, rather than a logically, necessary existence: God exists as the ultimate fact, without beginning or end and without depending upon anything else for existence.
Hartshorne agrees with traditional theism that God exists without the possibility of not existing (sometimes called necessary existence or existence a se) and that God is necessarily supreme in love, knowledge, and power.
On the assumption that God exists, he has necessary existence, is essentially not temporally limited, and is essentially omnipotent.
Others have argued that we are committed to the necessary existence of everything that does or might exist.
Insofar as traditional theism maintains the doctrine of the necessary existence of God, it too accepts the necessity of something existing.
Plantinga supported this argument by claiming that there are some things that an omnipotent God could not do, yet remain omnipotent – for example, if an omnipotent God has necessary existence, he could not create a world in which he does not exist.
This hinges upon "necessary existence," a property with even higher value than "existence". A being that necessarily exists cannot coherently be thought not to exist.
Finally, Hume arguments against the notion of necessary existence have obvious relevance for Descartes's effort to prove that God necessarily exists by way of reasoning from our (innate) idea of God.
This hinges upon "necessary existence," a property with even higher value than "existence".
Beyond this first contended weakness, however, there are grave difficulties in the move from contingent to necessary existence.
Logically necessary existence, it is said, is an incoherent idea, for logical necessity applies to the relations between concepts, not to their instantiation.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com