Syllogisms, Modulus Ponens, and Modulus Tollens

Although these three ways of reasoning share a common purpose, the seeking of knowledge, they are highly disparate in the ways by which they acquire knowledge. The primary distinction between the different forms of deductive logic can be found within their organization and structure. Syllogisms attempt to prove a statement through the transitive property. Using an intermediary term, they are capable of establishing what truth is by relating one term to another. Modulus ponens statements on the other hand use a much simpler method of reasoning. They establish a certain condition and based on the conditions requirements, tell whether it is valid. Lastly, the reasoning in Modulus tollens states how one condition is true based off another term.

Syllogism:
All watches give the time
I have the time
Therefore, I have a watch

Modulus Ponens:
If there are buttons, I will push them
There are buttons
Therefore I will push them

Modulus Tollens:
If Mr. Posito is here, there will be RAPs
Mr. Posito is not here, therefore there will be no RAPs