Consider the following mathematical expressions to answer Questions 1 and 2. 8 16 23-7 ( 6 + 3 ) x 4 Which symbols indicate semantic information, and which are grammatical? Explain your answer (6 pts) Discuss whether you can use any of these expressions as evidence for properties of arbitrariness, logographia, and discreteness. Do any of the components in these expressions lack any of these properties (and why or why not)? (6 pts) Hint: to answer this, you may consider how you would read these expressions out loud; however, if you rely on this, keep in mind that some of these expressions have more than one possible out-loud reading, which affects how you’d answer this question. Therefore, you should specify how you would read these aloud in natural (uncontrived) contexts.
In our linguistic counting system, we have simple lexical terms like one and seven with no observable meaningful smaller parts within them; we also have terms like fourteen and twenty that are derived from multiple parts (e.g., -teen is a component that invokes numerals between thirteen and nineteen; -ty is a component that invokes multiples of ten) . Meanwhile, in our system of written numerals, we have simple numeric glyphs (0 through 9), but larger numbers (e.g., 10 and higher) require combinations of glyphs. Identify any quantity or value that has a simple lexical term (in speech) but a complex numero-glyphic symbol (in writing) and explain why it fits these criteria. (3 pts) Can you think of any quantity or value that is represented with a simple glyph (in writing) but which is morphologically complex (in speech), in English or any other language? Explain why it fits these criteria. If you cannot think of any real symbols, explain what the linguistic and written-symbolic characteristics of such an item would be. (3 pts)