Logic 1 a (1) : a science that deals with the principles and criteria of validity of inference and demonstration : the science of the formal principles of reasoning (2) : a branch or variety of logic <modal logic> <Boolean logic> (3) : a branch of semiotic; especially : SYNTACTICS (4) : the formal principles of a branch of knowledge b (1) : a particular mode of reasoning viewed as valid or faulty (2) : RELEVANCE, PROPRIETY c : interrelation or sequence of facts or events when seen as inevitable or predictable d : the arrangement of circuit elements (as in a computer) needed for computation; also : the circuits themselves
2 : something that forces a decision apart from or in opposition to reason <the logic of war>

Syllogism 1 : a deductive scheme of a formal argument consisting of a major and a minor premise and a conclusion (as in "every virtue is laudable; kindness is a virtue; therefore kindness is laudable")
2 : a subtle, specious, or crafty argument
3 : deductive reasoning

Deductive 1 : of, relating to, or provable by deduction
2 : employing
deduction in reasoning
- de·duc·tive·ly adverb

Inductive 1 : leading on : INDUCING
2 : of, relating to, or employing mathematical or logical
induction <inductive reasoning>
3 : of or relating to
inductance or electrical induction
4 :
5 : involving the action of an embryological
inductor : tending to produce induction
- in·duc·tive·ly adverb