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5 definitions found
 for logic
From The Collaborative International Dictionary of English v.0.48 :

  Logic \Log"ic\, n. [OE. logike, F. logique, L. logica, logice,
     Gr. logikh` (sc. te`chnh), fr. logiko`s belonging to speaking
     or reason, fr. lo`gos speech, reason, le`gein to say, speak.
     See Legend.]
     1. The science or art of exact reasoning, or of pure and
        formal thought, or of the laws according to which the
        processes of pure thinking should be conducted; the
        science of the formation and application of general
        notions; the science of generalization, judgment,
        classification, reasoning, and systematic arrangement; the
        science of correct reasoning.
        [1913 Webster]
  
              Logic is the science of the laws of thought, as
              thought; that is, of the necessary conditions to
              which thought, considered in itself, is subject.
                                                    --Sir W.
                                                    Hamilton.
        [1913 Webster]
  
     Note: Logic is distinguished as pure and applied. "Pure logic
           is a science of the form, or of the formal laws, of
           thinking, and not of the matter. Applied logic teaches
           the application of the forms of thinking to those
           objects about which men do think." --Abp. Thomson.
           [1913 Webster]
  
     2. A treatise on logic; as, Mill's Logic.
        [1913 Webster]
  
     3. correct reasoning; as, I can't see any logic in his
        argument; also, sound judgment; as, the logic of surrender
        was uncontestable.
        [PJC]
  
     4. The path of reasoning used in any specific argument; as,
        his logic was irrefutable.
        [PJC]
  
     5. (Electronics, Computers) A function of an electrical
        circuit (called a gate) that mimics certain elementary
        binary logical operations on electrical signals, such as
        AND, OR, or NOT; as, a logic circuit; the arithmetic and
        logic unit.
        [PJC]

From WordNet (r) 3.0 (2006) :

  logic
      n 1: the branch of philosophy that analyzes inference
      2: reasoned and reasonable judgment; "it made a certain kind of
         logic"
      3: the principles that guide reasoning within a given field or
         situation; "economic logic requires it"; "by the logic of
         war"
      4: the system of operations performed by a computer that
         underlies the machine's representation of logical operations
      5: a system of reasoning [syn: logic, logical system,
         system of logic]

From Moby Thesaurus II by Grady Ward, 1.0 :

  72 Moby Thesaurus words for "logic":
     Aristotelian logic, Boolean algebra, Ramistic logic, admissibility,
     aesthetics, algebra of classes, algebra of relations, axiology,
     casuistry, common sense, cosmology, deduction, dialectic,
     dialectics, doctrine of inference, doctrine of terms,
     epistemological logic, epistemology, ethics, experimental logic,
     first philosophy, formal logic, gnosiology, good sense,
     intelligence, judiciousness, justifiability, justness, logicality,
     logicalness, logics, logistic, material logic, mathematical logic,
     mental philosophy, metaphysics, moral philosophy, ontology,
     phenomenology, philosophastry, philosophic doctrine,
     philosophic system, philosophic theory, philosophical inquiry,
     philosophical speculation, philosophy, plausibility, practicality,
     presence of mind, propositional calculus, psychological logic,
     psychologism, ratiocination, rationality, reason, reasonability,
     reasonableness, reasoning, school of philosophy, school of thought,
     science of being, sense, sensibleness, set theory, sophistry,
     sound sense, soundness, sweet reason, theory of beauty,
     theory of knowledge, value theory, wisdom
  
  

From The Free On-line Dictionary of Computing (30 December 2018) :

  logic
  
     1.  A branch of philosophy and mathematics
     that deals with the formal principles, methods and criteria of
     validity of inference, reasoning and knowledge.
  
     Logic is concerned with what is true and how we can know
     whether something is true.  This involves the formalisation of
     logical arguments and proofs in terms of symbols
     representing propositions and logical connectives.  The
     meanings of these logical connectives are expressed by a set
     of rules which are assumed to be self-evident.
  
     Boolean algebra deals with the basic operations of truth
     values: AND, OR, NOT and combinations thereof.  Predicate
     logic extends this with existential and universal
     quantifiers and symbols standing for predicates which may
     depend on variables.  The rules of natural deduction
     describe how we may proceed from valid premises to valid
     conclusions, where the premises and conclusions are
     expressions in predicate logic.
  
     Symbolic logic uses a meta-language concerned with truth,
     which may or may not have a corresponding expression in the
     world of objects called existance.  In symbolic logic,
     arguments and proofs are made in terms of symbols
     representing propositions and logical connectives.  The
     meanings of these begin with a set of rules or primitives
     which are assumed to be self-evident.  Fortunately, even from
     vague primitives, functions can be defined with precise
     meaning.
  
     Boolean logic deals with the basic operations of truth
     values: AND, OR, NOT and combinations thereof.  Predicate
     logic extends this with existential quantifiers and
     universal quantifiers which introduce bound variables
     ranging over finite sets; the predicate itself takes on
     only the values true and false.  Deduction describes how we
     may proceed from valid premises to valid conclusions, where
     these are expressions in predicate logic.
  
     Carnap used the phrase "rational reconstruction" to describe
     the logical analysis of thought.  Thus logic is less concerned
     with how thought does proceed, which is considered the realm
     of psychology, and more with how it should proceed to discover
     truth.  It is the touchstone of the results of thinking, but
     neither its regulator nor a motive for its practice.
  
     See also fuzzy logic, logic programming, arithmetic and logic unit,
     first-order logic,
  
     See also Boolean logic, fuzzy logic, logic programming,
     first-order logic, logic bomb, combinatory logic,
     higher-order logic, intuitionistic logic, equational
     logic, modal logic, linear logic, paradox.
  
     2.  Boolean logic circuits.
  
     See also arithmetic and logic unit, asynchronous logic,
     TTL.
  
     (1995-03-17)
  

From The Devil's Dictionary (1881-1906) :

  LOGIC, n.  The art of thinking and reasoning in strict accordance with
  the limitations and incapacities of the human misunderstanding.  The
  basic of logic is the syllogism, consisting of a major and a minor
  premise and a conclusion -- thus:
      _Major Premise_:  Sixty men can do a piece of work sixty times as
  quickly as one man.
      _Minor Premise_:  One man can dig a posthole in sixty seconds;
  therefore --
      _Conclusion_:  Sixty men can dig a posthole in one second.
      This may be called the syllogism arithmetical, in which, by
  combining logic and mathematics, we obtain a double certainty and are
  twice blessed.
  

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