The logical arguments are the basis for Artificial Intelligence. That is why I picked AI community to ask my question.
Reading from Wikipedia,
A syllogism is a kind of logical argument that applies deductive reasoning to arrive at a conclusion based on two propositions that are asserted or assumed to be true.
Again from Wikipedia, deductive reasoning,
is the process of reasoning from one or more statements (premises) to reach a logical conclusion.
As part of deductive reasoning, it lists Modus Ponens, Modus Tollens, and Law of syllogism where Law of syllogism is defined as
In term logic the law of syllogism takes two conditional statements and forms a conclusion by combining the hypothesis of one statement with the conclusion of another.
Based on these articles, is it safe to assume that Syllogism uses Modus ponens, Modus tollens, and Law of syllogism to arrive at conclusion? Does that mean "Law of syllogism" is part of "syllogism" or is it something different?
If this community is not appropriate for this kind of question, kindly guide me to the correct StackExchange or other communities.