Could the mental be physical?

The brain is obviously physical, but what about the mind? It seems like it shouldn't be, but maybe we're just looking at the idea od physical wrong.

NOTES

• What does 'physical' mean?
  • P1: 'physical' means 'spatial'
    • I.e., extended in space; has a volume
    • O1: photons are physical, but not spatial
  • P2: 'physical' means 'material'
    • I.e., made out of matter
    • O1: energy is physical, but not material
  • P3: 'physical' means 'describable and explainable using the concepts of physics'
• What does 'mental' mean?
  • P1: 'mental' means 'describable and explainable using the concepts of psychology'
• Argument for why the mental can't be physical
  1. Physical things are describable and explainable using the concepts of physics
  2. Mental things are describable and explainable using the concepts of psychology
  3. So, mental things are not physical things
• • O1: the same thing can be described and explained in different ways given the purpose of the scientist
    • S1: biologists and physicists explain and describe the same thing using their own sciences
    • N1: this only proves the mental and physical are not necessarily mutually exclusive, not that the mental is physical
  • O2: four-term fallacy

Further Reading

For more on René Descartes' definition of 'physical' as 'spatial,' read his Meditations on First Philosophy for free here, or get a more recent translation here