What is the difference between logic and logistic?

Logistics follows the rules of other plural nouns that represent a field of study with the ability to be a singular or plural verb. Some of the similar words include linguistics and statistics. Logic is strictly a singular word. It refers to the science that deals with formal reasoning and its principles.

What does it mean to think logistically?

Logistically is defined as something done in logical or practical way. If it is impossible to align your schedules so everyone can arrive somewhere at the same time, this is an example of when it is logistically impossible for everyone to arrive together.