Answer:The diagram presents a comparison between English and Mathematics by illustrating how both disciplines classify objects and make statements.1. English: - Noun (name given to the object of interest): - In English, a noun represents an object of interest, which can be a person, place, or thing. Examples include: - Person: Carol - Place: Idaho - Thing: cat - Sentence (must state a complete thought): - In English, sentences express complete thoughts. These can be evaluated as: - True (T): “The word 'cat' begins with the letter 'c'.” - False (F): “The word 'cat' begins with the letter 'k'.” - Sometimes True/Sometimes False (ST/SF): “The cat is black.” This can be true in certain contexts and false in others. 2. Mathematics: - Expression (name given to mathematical object of interest): - In mathematics, an expression represents different mathematical objects such as: - Number: 3 - Set: {3} - Function: f(x) - Matrix: \(\begin{bmatrix} 1 & 0 \\ 0 & 1 \end{bmatrix}\) - Ordered Pair: (x, y) - Sentence (must state a complete thought): - In mathematics, sentences can be evaluated for truth, just like in English: - True (T): 1 + 2 = 3 - False (F): 1 + 2 = 4 - Sometimes True/Sometimes False (ST/SF): x = 1 (True for some values of x, false for others) Explanation :- English and Mathematics both have structures for naming objects of interest (nouns in English and expressions in mathematics).- Both also involve sentences that can be classified as true, false, or conditionally true/false.