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In the early 20th century, Bertrand Russell gave a different complete axiomatization of propositional logic, considered on its own, in his 1906 paper "The Theory of Implication", and later, along with A. N. Whitehead, produced another axiomatization using disjunction and negation as primitives in the 1910 work Principia Mathematica . Proof of the possibility of defining all truth functional operators in virtue of a single binary operator was first published by American logician H. M. Sheffer in 1913, though C. S. Peirce (1839-1914) seems have discovered this decades earlier. In 1917, French logician Jean Nicod discovered that an axiomatization for propositional logic using the Sheffer stroke involving only a single axiom schema and single inference rule was possible.

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