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Clausius' work leading to the law of increasing entropy -the supreme law of nature according to Eddington- is here shown to be a logically flawed construction. Both of the statements subsumed by this principle: the zero total entropy change for all reversible processes and the positive total entropy change for all irreversible processes are here disproved by counterexamples taken from the very premises of Clausius' work. In the second and last part of this work we will see how the second law of thermodynamics, as currently understood, emerges from the correction of the flaws in Clausius' work here made evident.