Venn and Jevons showed that Hamilton's quantification of the predicate generates redundant and logically ill-formed propositions that violate the principle of parsimony in formal systems.
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Quantification of the predicate(as Hamilton's proposed innovation in formal logic)
A logical system where you add extra information (like 'all' or 'some') to the part of a sentence that describes something, not just the subject.
Venn(as a logician who criticized Hamilton's system)
John Venn was a British logician in the 1800s who developed visual diagrams (called Venn diagrams) to show how different groups or ideas overlap and relate to each other.
predicate(Logical/grammatical ontology in Eisagoge)
Either a sound signifying a meaning or a meaning signified by a certain sound
principle of parsimony(Feigl 1967, p. 94)
A scientifically well-established principle that opposes speaking of two or more concepts when the evidential facts, though completely correlated, are qualitatively heterogeneous
redundant(contrasting with what the formula should actually be)
Unnecessary or repetitive—extra without serving a purpose, like having two copies of the same tool.