Incompatibility thesis in is an argument in research methodology about incompatibility of quantitative research and qualitative research paradigms in the same research. This thesis is based on philosophies of post-structuralism and post-modernism (among others). Arguments from those philosophies support exclusive superiority of one orientation (usually, the qualitative one) are oppose mixing it with quantitative research (as is advocated by the proponents of mixed-method research who support the compatibility thesis).
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“General scepticism is the live mental attitude of refusing to conclude. It is a permanent torpor of the will, renewing itself in detail towards each successive thesis that offers, and you can no more kill it off by logic than you can kill off obstinacy or practical joking.”
—William James (1842–1910)