logic does not per se have any particular relation to anarchy. logic is the study of the structure of arguments, ie, of reasoning itself. logic has taken various forms since it first (as far as we know) began to be codified in greece several thousand years ago. central to the idea of logic is understanding what is a 'valid' argument: an argument which is *properly constructed*. that is, it proceeds using correct reasoning from certain premises to a conclusion which cannot be incorrect if the premises are true. examples of arguments which are invalid - logical fallacies - would include such as the appeal to authority ('it is true because so and so says it is true') or the appeal to force or argumentum ad baculum ('it is true because otherwise i will beat you up'). an invalid argument can start with true premises and attempt to portray a false conclusion as true; it can also just as well start with false premises. it can also have true premises and a true conclusion BUT this conclusion cannot logically follow from the premises. a valid argument with true premises cannot have a false conclusion. logical arguments, in their most elementary forms, are built from 'atomic' statements, truth-functional connectives (this AND that, this OR that, IF this THEN that) and/or quantifiers (all x are y, z is x, therefore z is y). etc... use fucking google if you want to know what logic is. then tell me what you find logical in anarchism today.