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The Collaborative International Dictionary of English v.0.48 (gcide)

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]