In which case we are much closer than I first thought but your definition is still incomplete. It doesn't allow for logical deduction.
I used the generic term because there's a branch that only accepts or includes the acceptance of logic (philosophy). That's called Logical Positivism.
There's a new term being used interchangeable to classical (from Comte) Positivism: Scientism.
I don't think Cofty and Viviane are logical positivists because the philosophy of soul is presented with logical consistency and both deny the logical conclusion of the soul.
They even can't admit the soul it's not a subject for the scientific method.
They clearly advocates the universal use of scientific method and don't recognise any other form of knowledge as valid.
I wonder what kind of Materialism they accept...