Karl Popper's rationalist philosophy, known as critical rationalism, takes a nonjustificationist approach to epistemology in order to avoid difficulties in the justificationist approach, such as the
Munchhausen Trilemma. Instead of resorting to foundationalism, coherentism, or infinitism, critical rationalists subject every claim to criticism in order to assess its likelihood relative to other claims. While critical rationalism holds that one ought never stop criticizing positions, this does not lead to an infinite regress. Justificationists, on the other hand, can never completely verify what they believe they know because an infinite series of justifications would be required to do so.
My question is, how do critical rationalists think one can get closer to the truth and/or gain knowledge? I understand that they think falsifiable theories with high empirical content which have withstood the most intense scrutiny are the best supported, but how do they determine that these theories best reflect a mind-independent reality (when compared with less successful theories)?