The three components of independent-mindedness work in concert: fastidiousness about truth and resistance to being told what to think leave space in your brain, and curiosity finds new ideas to fill it.
Interestingly, the three components can substitute for one another in much the same way muscles can. If you’re sufficiently fastidious about truth, you don’t need to be as resistant to being told what to think, because fastidiousness alone will create sufficient gaps in your knowledge. And either one can compensate for curiosity, because if you create enough space in your brain, your discomfort at the resulting vacuum will add force to your curiosity. Or curiosity can compensate for them: if you’re sufficiently curious, you don’t need to clear space in your brain, because the new ideas you discover will push out the conventional ones you acquired by default.
Giancarlo Angulo's Blog