log·ic 
/ˈlɑ:ʤɪk/ noun
/ˈlɑ:ʤɪk/ noun 1 a : a proper or reasonable way of thinking about or understanding something [noncount] ▪ If you just use a little logic, you'll see I'm right. ▪ the rules of logic ▪ There's no logic in/to your reasoning. ▪ I can't see the logic in always worrying about the future. = Where's the logic in always worrying about the future? ▪ There's some logic to/in what he says. ▪ She kept the dog, against all logic, after it attacked her. [=her decision to keep the dog was not logical/sensible] ▪ Her decision defies logic. [=her decision makes no sense; her decision is not logical] [singular] ▪ There's a certain logic in/to what he says.
b [noncount] : a particular way of thinking about something
▪ I could not understand her logic in keeping the dog. [=I could not understand her reason for keeping the dog] ▪ I fail to see your logic. = I fail to see the logic behind/of your reasoning. ▪ faulty logic 2 [noncount] : the science that studies the formal processes used in thinking and reasoning
▪ a professor of logic — see also fuzzy logic 3 [noncount] : the way facts or events follow or relate to each other
▪ The revolution proceeded according to its own logic. ▪ the logic of the situation 4 [noncount] technical : the arrangement of circuits in a computer
b [noncount] : a particular way of thinking about something
▪ I could not understand her logic in keeping the dog. [=I could not understand her reason for keeping the dog] ▪ I fail to see your logic. = I fail to see the logic behind/of your reasoning. ▪ faulty logic
▪ a professor of logic — see also fuzzy logic
▪ The revolution proceeded according to its own logic. ▪ the logic of the situation
