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The concept of g makes sense to Xavier, but he also likes Thurstone's idea that there are specific mental abilities, and Cattell and Horn's idea that g can be broken down into smaller factors. Xavier decides that intelligence must be hierarchical, with general abilities at the top, broad categories in the middle, and specific abilities at the bottom. Xavier would probably prefer
Quantifier Negation
The process of applying negation to a statement that contains a quantifier, altering its scope and possibly changing the quantifier type (for example, from universal to existential).
Existential Generalization
A logical operation that infers the existence of at least one object in a domain that satisfies a given proposition.
Existential Instantiation
A logical rule that deduces the existence of at least one instance of a predicate from a general statement.
Symbolize
The act of representing objects, actions, or ideas through symbols or a system of notation.
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