1. According to substance dualism, human learning, thinking, and consciousness is explained by the having of an immaterial soul
2. Non-human animals learn, think, and have consciousness
3. Either non-human animals have souls or their learning is explained by brain functions
4. Non-human animals do not have souls
5. Therefore, non-human thinking is explained by brain function
6. If some phenomena can be fully explained by natural means there is no reason to resort to additional supernatural explanations (based on Ockham's Razor)
Ockham's Razor = Simplest explanation is the best, don't add entities that you don't need to add for your explanation (no extra thing)
7. If brain function is capable of explaining learning, thinking and consciousness in non-human animals, then there is no reason to appeal to an immaterial soul in the case of humans
8. Therefore, substance dualism is false
Possible Objections?
Premises (7) "IF" true, then "false" objection
Premise (2): Non-animals don't learn, think and have consciousness
^ not sure if that's right