Determine if the following arguments are propositional or categorical.
1. Doctors are exposed to agents that cause ailments. Jane is a doctor. Hence, she is exposed to agents that cause ailments.
answer:propositional
2.All carrots are vegetables full of vitamin A. All vegetables full of vitamin A are foods good for your eyesight. So carrots are foods good for your eyesight.
answer:
P1: All C are V
P2: All V are F
C: All C are F
Think this through. If A (and B) are true, hence: ???
so question one will be categorical
The second argument is categorical.
The argument you provided can be classified as a categorical syllogism. A categorical syllogism is a type of logical argument that consists of three categorical propositions: two premises and a conclusion. Each proposition makes a statement about the relationship between two categories (or classes) of things. In this case, the argument contains three categorical propositions: P1, P2, and C.
To determine if an argument is propositional or categorical, we need to examine the nature of the statements being made. If the statements involve specific categories of things and the relationship between them, it is categorical. If the statements are more general and involve variables or propositions, it is propositional.
In the first argument, the statements involve specific categories (doctors, agents that cause ailments) and assert a relationship between them. Therefore, it can be classified as propositional.
In the second argument, the statements involve the categories of carrots, vegetables full of vitamin A, and foods good for your eyesight. The relationship between these categories is explicitly stated in P1 and P2, and the conclusion (C) follows logically from the premises. Therefore, it can be classified as a categorical syllogism.