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Here however, Hume notices a gap in logic. How does (1) infer (2)? Hume sees that demonstrative reasoning cannot fill this gap, because a complete contrast where x does not result in y implies no contradiction within the inference. Herein, it seems that there is an underlying assumption within the first premise: the future will be like the past. This assumption is more commonly known as the uniformity principle. Using such an assumption would fill the logical gap within the current argument, however before it can be used, it must be established that the principle is either intuitive or demonstrable. HoweverNonetheless, the only way to formulate an argument for the principle is to rely on the principle itself.[[CiteRef::Hume (1975)]] As such With reliance on the uniformity principle the full argument would follow as suchlike this: