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The phrase "arise without" is grammatically correct and can be used in written English.
It means to happen or occur without something or someone involved. Example: The company's success arose without any major marketing efforts. This sentence means that the company became successful without any significant marketing efforts contributing to its success.
Exact(59)
This movie suggests that a full-bodied and fully inventive heroism may arise without understanding — purely out of instinct.
Darwin's theory of evolution was meant to show how the fantastically complex features of organisms — eyes, beaks, brains — could arise without the intervention of a designing mind.
A twenty-first-century version of the idea that education is more a public good than a private investment will not arise without a politics behind it.
More critically, depression can arise without any psychosocial stressor at all, which makes it hard to argue that depression is a response to a difficult situation or problem.
But such outcomes develop organically; they are not implemented by diplomats overnight and they do not arise without the painful stalemates that lead each party to conclude that time is not on their side.
Concerned with the hard questions that arise without such directives, Dr. Emanuel included in his 1991 book, "The Ends of Human Life Harvard University Pressss), a critique of a court ruling upholding a family's request to end treatment for a dying, mentally incapacitated daughter.
James Clerk Maxwell is responsible for this mathematical formulation and for the extension of the law to include magnetic fields that arise without electric current, as between the plates of a capacitor, or condenser, in which the electric field changes with the periodic charging and discharging of the plates but in which no passage of electric charge occurs.
Having emergent properties that arise without a central control.
Even methodical selection, Darwin realized, is dependent on variants that arise without regard to human desire.
As a consequence, disease-causing mutations affecting cell signaling can arise without disturbing aminoacylation.
Similar(1)
The "small-world" graph structure is pervasive and is observed to arise "without-design" or "naturally" in many practical systems such as the World Wide Web.
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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