Restricting formal validity solely to variable-substitution schemas, as Abelard does, anachronistically imports a Fregean criterion alien to the Aristotelian syllogistic tradition Abelard himself inherited.

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Abelard: # Abelard Peter Abelard (1079–1142) was a French philosopher and theologian who became famous for his brilliant teaching at the University of Paris and for his tragic love affair with Héloïse, a student who became a nun. He developed new ways of thinking about logic and reasoning, and challenged church authorities by questioning whether blind faith alone was enough—he believed people should use their minds to understand religious beliefs. His life and ideas made him one of the most influential and controversial thinkers of the medieval period.
Anachronistically(describing the use/mention distinction as too modern for medieval logic): Describing something as if it existed or applied in an earlier time period when it actually came later—basically applying modern ideas to ancient people.
Aristotelian syllogistic tradition(in logic history): The system of logic developed by the ancient Greek philosopher Aristotle, which uses three-part arguments (called syllogisms) to draw conclusions from given statements.
Fregean criterion(in logic history)

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