no, animals don't have souls, just like man doesn't have a soul. they are souls!
now check this out:
Genesis 7:17-24(NKJV)
17Now the flood was on the earth forty days. The waters increased and lifted up the ark, and it rose high above the earth.
18The waters prevailed and greatly increased on the earth, and the ark moved about on the surface of the waters.
19And the waters prevailed exceedingly on the earth, and all the high hills under the whole heaven were covered.
20The waters prevailed fifteen cubits upward, and the mountains were covered.
21And all flesh died that moved on the earth: birds and cattle and beasts and every creeping thing that creeps on the earth, and every man.
22All in whose nostrils was the breath (Septuagint and Vulgate omit of the spirit.)of the spirit of life, all that was on the dry land, died.
23So He destroyed all living things which were on the face of the ground: both man and cattle, creeping thing and bird of the air. They were destroyed from the earth. Only Noah and those who were with him in the ark remained alive.
24And the waters prevailed on the earth one hundred and fifty days.
all flesh have the "breath of life", which includes both man and beast.
So what ever are you talking about? I'm talking about death and not just about the physical body as you seem to be doing. Yes both animals and humans have breath and require it to live. However the breathe that God breathed into man does something different to man the the air that both animals and man breathe. Both require oxygen to live. Oxygen doesn't comprise the soul. Jesus spoke of them as 2 different items in Mat 10:28.
Soul is -
1) breath
a) the breath of life
1) the vital force which animates the body and shows itself in breathing
a) of animals
b) of men
b) life
c) that in which there is life
1) a living being, a living soul
2) the soul
a) the seat of the feelings, desires, affections, aversions (our heart, soul etc.)
b) the (human) soul in so far as it is constituted that by the right use of the aids offered it by God it can attain its highest end and secure eternal blessedness, the soul regarded as a moral being designed for everlasting life
c) the soul as an essence which differs from the body and is not dissolved by death (distinguished from other parts of the body)
Body is -
1) the body both of men or animals
a) a dead body or corpse
b) the living body
1) of animals
2) the bodies of planets and of stars (heavenly bodies)
3) is used of a (large or small) number of men closely united into one society, or family as it were; a social, ethical, mystical body
a) so in the NT of the church
4) that which casts a shadow as distinguished from the shadow itself
Now please consider all the definition of each word. I used the whole definition so that you couldn't accuse me of being selective and ignoring your POV. The definitions provide for a distinctive difference between animals and mankind.
Now you are free to expalin how and where the Scripture indicates that animals are spoken of as having redeemable souls. Animals and humans are on a different level in relationship to God. Please show where animals are in rebellion to God in any sense especially as in the sense of man. Show anywhere that animals are redeemed except the first born which has nothing to do with the animal itself or its life, function and relationship with God.
Where does the Scripture refer to animals as a living soul? The breath of life isn't the soul.