Disambiguation of Aver and Avow
The following examples of the use of these two words may make the difference clearer.
Avow
(=Affirm/Acknowledge? =to say, “I believe it”)
Sir Isaac Newton is said to have avowed that he felt like a child picking up shells beside the great and unexplored ocean of truth. —Mary Shelley, Frankenstein
His father knew him, and avowed him for his son. —Plutarch (1676)
As when fiends did miracles avow [i.e., even devils acknowledged the existence of miracles],
He stands confess'd e'en by the boastful Dutch. —Dryden, Annus Mirabilis
Aver
(=Assert Belief In? = to say, “You should believe it”)
I took their word for all that they averred, and I became their disciple. —Mary Shelley, Frankenstein
Love is a lordly feast, he writes, and I the same aver. —Warner (1612)
I only shall aver what myself hath sometimes observed. —Ray, Creation (1691)
What one author avers upon the subject, another denies. —James, Louis XIV (1839)
How often do the Physitians lye, when they aver things good for sicknesses. —Sidney, Defense of Poesy (1581)
They all averred I had killed the bird
That brought the fog and mist. —Coleridge, The Rime of the Ancient Mariner
As Coroner I must aver, I thoroughly examined her.
And she's not only merely dead, she's really most sincerely dead. —The Wizard of Oz