You Die and then You're Dead and Here's an Equation to Prove It

Physicist Sean M. Carroll has a recent interesting post at the Scientific American arguing that what we know about the operations of our minds makes it extremely improbable that life after death is possible. His argument is a simple one: we know that mental faculties are the product of physical interactions in the brain, so my accepting the idea that some nonphysical thing (a soul) that is "me" in any relevant sense could outlast the demise of the body would require me to reject much of what we know about physics. Dualism is false and the proposition that the soul is immortal depends on dualism, so immortality is false.