Simple/composite concerns the intended signification of an expression's parts. Universal/particular concerns whether its meaning is shareable by multiple individuals.
'Horse' is a simple expression and universal.
'Zayd', when referring to one known person, is simple and particular.
'This horse' has more than one word yet can refer to a particular animal. The classifications answer independent questions.
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Two independent classifications
Universal and Particular — Definitions and Practical Classification
Simple/composite concerns the intended signification of an expression's parts. Universal/particular concerns whether its meaning is shareable by multiple individuals.
'Horse' is a simple expression and universal.
'Zayd', when referring to one known person, is simple and particular.
'This horse' has more than one word yet can refer to a particular animal. The classifications answer independent questions.