Quantitative approaches-postpositivist

Mixed Methods approaches-pragmatic
To what extent do you agree with Creswell’s alignment of these philosophies with these approaches? How flexible is such alignment? For example, can a qualitative approach ever be postpositivist?
With which approaches would you align empiricism, interpretivism, and critical theory. For example, does empiricism align with a quantitative approach, a qualitative approach, a mixed methods approach, or more than one approach? How would you support your choices of alignment?

Course Text: Creswell, J. (2009). Research design: Qualitative, quantitative, and mixed methods approaches (Laureate Education, Inc., custom ed.). Thousand Oaks, CA: Sage Publications.
Chapter 1, The Selection of a Research Design