Hull's own lineage theory entails that the relevant causal continuity is genealogical descent, not specifically sexual reproduction, making the sexual reproduction premise unnecessarily restrictive.

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Causal continuity(as what determines whether organisms belong to the same biological group): An unbroken chain of cause-and-effect connections linking one thing to another—like how parents cause their offspring to exist.
Genealogical descent(as one possible basis for claiming something): Being related to someone through family bloodline—literally being their descendant or heir.
Hull(as the philosopher whose theory is being discussed): David Hull, a philosopher of science who studied how evolution and natural selection work. He argued that species should be understood as individual things that change over time, rather than as fixed categories.
Lineage theory(as Hull's framework for understanding biological relationships): A scientific explanation for what makes something a species based on tracing its ancestry—basically, if organisms share a common ancestor, they belong to the same group.
Sexual reproduction(as a specific requirement some people thought was necessary for determining species): The biological process where two organisms combine genetic material to create offspring (as opposed to asexual reproduction, where one organism creates a clone of itself).
Unnecessarily restrictive(describing how the sexual reproduction requirement is too strict compared to what Hull's theory actually requires): A limitation that's too narrow or demanding, excluding things that should probably be included based on the main idea.

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