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If science proves anything, it is that atoms are not eternal. All atoms decay. All share a characteristic called "entropy." "Science" teaches that the universe as a whole is heading for heat death, running down, wearing out.

And so, if man's soul is a part of that nature, it too will wear out.

The evidence I have, repeating myself once again, is that God has warned man in the bible that he will die. Have you read the linked scriptures?

This was in fact God's first warning to man:

"...but of the tree of the knowledge of good and evil you shall not eat, for in the day that you eat of it you shall surely die."
- Genesis 2:17

Atoms are ethernal, energy as well - principles of thermodynamics - energy is always recycled.

You say all atoms decay - no ... The atoms that decay are the radioactive ones not all as you pretend.

Bible is evidence ? No, bible is information - and btw - the words you quoted says adam will die but not the soul is mentioned - the level is physical , see the context.

"- principles of thermodynamics - energy is always recycled."

Current understanding of science is that free energy in a thermodynamic system is subject to irreversible loss - see this Wikipedia article and its subordinate links, particularly Thermodynamic free energy.

Apart from some external system input, all atoms as a part of their thermodynamic systems decay to a state of "heat death."

If you read the information about Adam in the immediate context of Genesis, you will find that he is a "soul."

"And the Lord God formed man of the dust of the ground, and breathed into his nostrils the breath of life; and man became a living soul."
- Genesis 2:7

English "soul" == Hebrew נֶפֶשׁ (nephesh)

I'll repeat my question: What evidence do you have that the soul is eternal? When the human body dies, it stops breathing, it stops thinking. The atoms that comprise the brain stop transmitting electrical impulses. It all stops and rots...

"...for you are dust,
and to dust you shall return."

- Genesis 3:19

Please follow and read the links I've provided.

Do you have any references? I understand that you are expressing your opinion, and that's fine, but you've so far provided no support whatsoever for your statements.

:-) basically are you telling me that the human soul can escape the gravity of earth because of entropy ?!