(n ) the branch of mathematics that investigates the relationships between premises and conclusions of arguments
A particular kind of logic is the way of thinking and reasoning about things that is characteristic of a particular type of person or particular field of activity. The plan was based on sound commercial logic. Study of inference and argument. Inferences are rule-governed steps from one or more propositions, known as premises, to another proposition, called the conclusion. A deductive inference is one that is intended to be valid, where a valid inference is one in which the conclusion must be true if the premises are true (see deduction; validity). All other inferences are called inductive (see induction). In a narrow sense, logic is the study of deductive inferences. In a still narrower sense, it is the study of inferences that depend on concepts that are expressed by the "logical constants," including: (1) propositional connectives such as "not," (symbolized as ), "and" (symbolized as ), "or" (symbolized as ), and "if-then" (symbolized as ), (2) the existential and universal quantifiers, "(x)" and "(x)," often rendered in English as "There is an x such that ..." and "For any (all) x, ...," respectively, (3) the concept of identity (expressed by "="), and (4) some notion of predication. The study of the logical constants in (1) alone is known as the propositional calculus; the study of (1) through (4) is called first-order predicate calculus with identity. The logical form of a proposition is the entity obtained by replacing all nonlogical concepts in the proposition by variables. The study of the relations between such uninterpreted formulas is called formal logic. See also deontic logic; modal logic. deontic logic fuzzy logic logic design logic many valued logic philosophy of modal logic
The part of an electronic system that performs the boolean logic operations, short for logic gates or logic circuit
(99/10/30) The government investigators solved the crime by analyzing the evidence and putting two and two together There was no rhyme or reason to his argument (reference: 99, Nikkei)
The logic of a conclusion or an argument is its quality of being correct and reasonable. I don't follow the logic of your argument There would be no logic in upsetting the agreements
(Greek logos,"word", "speech", "reason"), science dealing with the principles of valid reasoning and argument The study of logic is the effort to determine the conditions under which one is justified in passing from given statements, called premises, to a conclusion that is claimed to follow from them Logical validity is the characteristic of an argument that guarantees that if the premises of the argument are true then the conclusion must necessarily be true
The branch of mathematics in which mathematical assertions and reasoning are studied as formal mathematical objects
a method of using the symbols AND, OR, NAND, NOR, and NOT to represent the function of a circuit
Mathematical treatment of formal logic whereby a system of symbols (i e , AND, OR, and NOT) is used to represent quantities and relationships A switch/gate has only two statesopen or closedallowing the use binary numbers for solutions to problems
The sequence of functions performed by hardware or software Hardware logic is made up of circuits that perform an operation Software logic is the sequence of instructions in a program