The quote argues that genuine contradictions cannot both be true at the same time and in the same respect. When two conclusions appear incompatible, Rand’s advice is to examine the assumptions behind them rather than accept the contradiction as unavoidable. The problem, in this view, lies in at least one mistaken premise, incomplete fact or error in reasoning.

The statement reflects Rand’s emphasis on logic and the principle of non-contradiction. It encourages a method of inquiry in which apparently conflicting claims are traced back to their foundations and tested against evidence and one another. More broadly, the quote can be applied to argument, analysis and decision-making: when conclusions clash, it may be useful to identify which assumptions produced them and whether those assumptions are justified. The claim is expressed in absolute terms, but its practical value lies in encouraging consistency, scrutiny and a willingness to revise one’s starting points when reasoning produces incompatible results.