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Gen 2 19 Now the LORD God had formed out of the ground all the beasts of the field and all the birds of the air. He brought them to the man to see what he would name them;

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The animals are defined as beasts of the field and birds of the air before Adam names them. This is the same amount of identification as that given to woman except there are many different types of each category as opposed to just one woman.

19 So the Lord God formed from the ground all the wild animals and all the birds of the sky. He brought them to the man

Gazza,

They are called animals or beasts. Either is fine. The point is that the animals/beast are not given classification or names before they are brought to Adam and until Adam names them (he names them, lion, tiger and bear) whereas in the woman’s case she is given classification (“woman”, v22) before she is brought to Adam and then Adam doesn’t re-classify her but rather agrees with what v22 has already told us being that she is a woman.

As for using a different word when naming the animals the text here gives extra emphasis to the reasoning and intimacy behind Adam calling her woman. I would not for a second say that Adam had authority over the animals in the same way he had authority over Eve – so there is no surprise that there is a difference here.

Very simply, it is said that Adam was given authority over the animals, and it is said when. It is only after woman is created. Therefore Adam does not have authority over the animals when he names them. There needs to be proof that he had authority over them when he named them. There is already proof that Adam and the woman (who didn’t do any naming of the animals) had authority over the animals after the woman was created. So I believe that they both had authority after the woman was created. I expect the same kind of proof for your belief that Adam had authority over the animals when he named them and that Adam had authority over the woman when he agreed with God’s identification of her. If I provide proof for what I believe then I expect the same thing from you.