Which of the following is not an example of a predicate?

Question

BlackTom AI · Accepted Answer

First, let's restate the question and list the options to set the stage for analysis.
Question: Which of the following is not an example of a predicate?
Options:
- a. A function called computer(P) which determines whether or not the argument P is a computer.
- b. A function called isEven(X) which is True if X is even, and False otherwise.
- c. A function called square(Y) which gives the square of the argument value Y.
- d. A function called isLarger(A, B) which is True if A is larger than B, and False otherwise.

Now evaluate each option in turn.

Option a: A function named computer(P) described as determining whether P is a computer. This phrasing suggests it returns a boolean indicating yes/no, i.e., true if P is a computer and false otherwise. If it indeed returns a truth value, then it fits the definition of a predicate. Therefore, this is a plausible example of a predicate.

Option b: A function isEven(X) that returns True if X is even and False otherwise. This is a classic predicate: for any input X, it yields a boolean indicating a property (evenness). Hence, this is a standard predicate.

Option c: A function square(Y) that gives the square of the argument value Y. Here, the function returns a numeric value (the square) rather than a boolean truth value about a property. Since predicates are used to express properties that can be true or false, and this function computes a quantity, it does not align with the notion of a predicate. Therefore, this is not a predicate.

Option d: A function isLarger(A, B) that returns True if A is larger than B, and False otherwise. This describes a boolean-valued function checking a relation between A and B, which is precisely a predicate.

Putting this together, the only option that describes a function producing a non-boolean output (a numeric square) rather than a true/false value is option c. The other options describe functions that yield boolean results about a property or relation, aligning with the concept of predicates.

In summary, option c describes a non-predicate function because it returns a numeric result rather than a truth value, while options a, b, and d describe predicate-like behavior by returning true/false values about properties or relations.

Which of the following is not an example of a predicate?Single choice

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