logic
n. reasoning, common-sense; science of inference and reasoning | ||||
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Logic Definition from Computer & Internet Dictionaries & Glossaries
| FOLDOC |
logic
propositional logic quantifier paradox OR Charme first-order logic complete theory complete inference system complement sound temporal logic inference converse AND induction Lambada-Calculus sentence tautology tautological probability natural deduction abduction Horn clause classical logic proof theory implies Conjunctive Normal Form tautological set Boolean iff Boolean algebra logical complement NOT Gottlob Frege SLD resolution lemma most general unifier axiom algebra equational logic intuitionistic probability proof definite sentence paraconsistent probability definite clause neutrosophic set intuitionistic logic symbolic logic neutrosophic probability neutrosophic logic predicate logic DeMorgan's theorem two-valued logic Universal algebra truth table
1. <philosophy, mathematics> 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)
propositional logic quantifier paradox OR Charme first-order logic complete theory complete inference system complement sound temporal logic inference converse AND induction Lambada-Calculus sentence tautology tautological probability natural deduction abduction Horn clause classical logic proof theory implies Conjunctive Normal Form tautological set Boolean iff Boolean algebra logical complement NOT Gottlob Frege SLD resolution lemma most general unifier axiom algebra equational logic intuitionistic probability proof definite sentence paraconsistent probability definite clause neutrosophic set intuitionistic logic symbolic logic neutrosophic probability neutrosophic logic predicate logic DeMorgan's theorem two-valued logic Universal algebra truth table
1. <philosophy, mathematics> 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.
See also arithmetic and logic unit, asynchronous logic, TTL.
(1995-03-17)
| Integrated Circuit Terminology |
Logic
a set of circuit elements that perform a function.
a set of circuit elements that perform a function.
| MIDI & COMPUTER MUSIC GLOSSARY |
LOGIC
What the brain uses to work things out slowly, bit by bit - not automatic and easy like Freestyle! See Freestyle.
What the brain uses to work things out slowly, bit by bit - not automatic and easy like Freestyle! See Freestyle.
Logic Definition from Language, Idioms & Slang Dictionaries & Glossaries
| Webster's Revised Unabridged Dictionary (1913) |
Logic
(n.)
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; correct reasoning.
(n.)
A treatise on logic; as, Mill's Logic.
(n.)
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; correct reasoning.
(n.)
A treatise on logic; as, Mill's Logic.
| WordNet 2.0 |
logic
Noun
1. the branch of philosophy that analyzes inference
(hypernym) philosophy
(hyponym) modal logic
(class) analytic, analytical
2. reasoned and reasonable judgment; "it made a certain kind of logic"
(hypernym) common sense, good sense, gumption, horse sense, sense, mother wit
3. the principles that guide reasoning within a given field or situation; "economic logic requires it"; "by the logic of war"
(hypernym) principle
4. a system of reasoning
(synonym) logical system, system of logic
(hypernym) system, system of rules
(hyponym) Aristotelian logic
(class) extrapolate
Noun
1. the branch of philosophy that analyzes inference
(hypernym) philosophy
(hyponym) modal logic
(class) analytic, analytical
2. reasoned and reasonable judgment; "it made a certain kind of logic"
(hypernym) common sense, good sense, gumption, horse sense, sense, mother wit
3. the principles that guide reasoning within a given field or situation; "economic logic requires it"; "by the logic of war"
(hypernym) principle
4. a system of reasoning
(synonym) logical system, system of logic
(hypernym) system, system of rules
(hyponym) Aristotelian logic
(class) extrapolate
| The Devil's Dictionary |
LOGIC
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.
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.
| hEnglish - advanced version |
logic
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; correct reasoning. logic is science of the laws of thought, as that is, of the necessary conditions to which thought, considered in itself, is subject. w. hamilton.
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." thomson.
2. a treatise on logic; as, mill's logic.
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. a system of reasoning [syn: logical system, system of logic ]
similar words(33)
neutrosophic logic
temporal logic
classical logic
intuitionistic logic
system of logic
linear logic
arithmetic and logic unit
logic bomb
formal logic
logic emulator
logic design language
cirrus logic
combinatory logic
logic replacement technology
intuitionist logic
logic programing
to chop logic
chop-logic
logic for computable functions
modal logic
asynchronous logic
logic variable
fuzzy logic
logic operation
logic gate
transistor-transistor logic
mathematical logic
two-valued logic
logic programming
logic diagram
boolean logic
logic element
first-order logic
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; correct reasoning. logic is science of the laws of thought, as that is, of the necessary conditions to which thought, considered in itself, is subject. w. hamilton.
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." thomson.
2. a treatise on logic; as, mill's logic.
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. a system of reasoning [syn: logical system, system of logic ]
similar words(33)
neutrosophic logic
temporal logic
classical logic
intuitionistic logic
system of logic
linear logic
arithmetic and logic unit
logic bomb
formal logic
logic emulator
logic design language
cirrus logic
combinatory logic
logic replacement technology
intuitionist logic
logic programing
to chop logic
chop-logic
logic for computable functions
modal logic
asynchronous logic
logic variable
fuzzy logic
logic operation
logic gate
transistor-transistor logic
mathematical logic
two-valued logic
logic programming
logic diagram
boolean logic
logic element
first-order logic
| for Vocabulary Exams of KPDS, YDS,UDS (in Turkey); and SAT in America |
logic
The science of correct thinking.
The science of correct thinking.
| JM Welsh <=> English Dictionary |
Arbwylleb
Arbwylleb, Arbwylleg = n. logic
Arbwylleb, Arbwylleg = n. logic
Rhesymeg
Rhesymeg = n. logic; reasoning
Logic Definition from Religion & Spirituality Dictionaries & Glossaries
| Rakefet |
Logic
Logic An attempt to formulate the processes of the ratiocinative mind, connecting idea with idea in a causal sequence, leading from predicate to conclusion. When the predicate consists of axioms, the species of logic is called deductive, or reasoning from the general to the particular; when the predicate is facts of experience, the logic is called inductive, or proceeding from particulars to generals. As a means of arriving at truth it alone is quite unreliable, as it is but a body of rules based on human experiences, and hence it is often rather a means of justifying conclusions after they have already been formed. This unreliability arises both from the difficulty of applying the process with rigid precision, and also from the uncertainty of the predicates in both systems. A study of what is written on logic will show that there is no agreement as to what constitutes an axiom -- whether it is an intuitive perception of truth, or whether it is merely an inference from experience. The same uncertainty exists as to the validity of the assumptions from which inductive chains of reasoning are drawn.
to be continue "Logic2 "
Logic An attempt to formulate the processes of the ratiocinative mind, connecting idea with idea in a causal sequence, leading from predicate to conclusion. When the predicate consists of axioms, the species of logic is called deductive, or reasoning from the general to the particular; when the predicate is facts of experience, the logic is called inductive, or proceeding from particulars to generals. As a means of arriving at truth it alone is quite unreliable, as it is but a body of rules based on human experiences, and hence it is often rather a means of justifying conclusions after they have already been formed. This unreliability arises both from the difficulty of applying the process with rigid precision, and also from the uncertainty of the predicates in both systems. A study of what is written on logic will show that there is no agreement as to what constitutes an axiom -- whether it is an intuitive perception of truth, or whether it is merely an inference from experience. The same uncertainty exists as to the validity of the assumptions from which inductive chains of reasoning are drawn.
to be continue "Logic2 "
Logic Definition from Arts & Humanities Dictionaries & Glossaries
| Theological and Philosophical Biography and Dictionary |
| A Dictionary of Postmodern Terms |
logic
On PMTH, the word "logic" generally refers, not to the colloquial meaning of this term but to the system of formal reasoning introduced by Aristole. Aristotle's logic was based on three principles, the Law of the Excluded Middle, the Law of Contradiction and the Law of Identity. In recent times there are symbolic logics which can be more complex. In Aristotlean, or categorical, logic, a statement can be only true or false, not both at the same time. In modern logics, there can be alternative valuations of a statement. In fuzzy logic , we can speak of the proportion of truth in each statement.
On PMTH, the word "logic" generally refers, not to the colloquial meaning of this term but to the system of formal reasoning introduced by Aristole. Aristotle's logic was based on three principles, the Law of the Excluded Middle, the Law of Contradiction and the Law of Identity. In recent times there are symbolic logics which can be more complex. In Aristotlean, or categorical, logic, a statement can be only true or false, not both at the same time. In modern logics, there can be alternative valuations of a statement. In fuzzy logic , we can speak of the proportion of truth in each statement.
| Kant Glossary |
LOGIC
[L:18] Kant defines logic as "a canon that...serves as the principle of judging all use of the understanding as such, although only as to its rightness in respect of mere form". It is "a science a priori of the necessary laws of thinking, not, however, in respect of particular objects but all objects generatim; it is a science...of the right use of the understanding and of reason as such...i.e., according to a priori principles of how it ought to think". Kant discusses several divisions of logic, including: traditional logic, pure logic, applied logic, general logic, special logic, and transcendental logic. In addition, in the Critique he distinguishes between logical and transcendental employment of the faculties.
[L:18] Kant defines logic as "a canon that...serves as the principle of judging all use of the understanding as such, although only as to its rightness in respect of mere form". It is "a science a priori of the necessary laws of thinking, not, however, in respect of particular objects but all objects generatim; it is a science...of the right use of the understanding and of reason as such...i.e., according to a priori principles of how it ought to think". Kant discusses several divisions of logic, including: traditional logic, pure logic, applied logic, general logic, special logic, and transcendental logic. In addition, in the Critique he distinguishes between logical and transcendental employment of the faculties.
Logic Definition from Entertainment & Music Dictionaries & Glossaries
| English to Federation-Standard Golic Vulcan |
Logic
olozhika
olozhika
Logic Definition from Business & Finance Dictionaries & Glossaries
| Company Info: Ticker, Name, Description |
LOGC
Logic Devices Incorporated
Exchange: Nasdaq
Designs, develops, manufactures and markets a broad line of high performance digital complementary metal-oxide-silicon integrated circuits for applications which require high operating speeds and low operating power.
Logic Devices Incorporated
Exchange: Nasdaq
Designs, develops, manufactures and markets a broad line of high performance digital complementary metal-oxide-silicon integrated circuits for applications which require high operating speeds and low operating power.
Logic Definition from Encyclopedia Dictionaries & Glossaries
| Wikipedia English - The Free Encyclopedia |
Logic
Logic (from Classical Greek λόγος logos; meaning word, thought, idea, argument, account, reason, or principle) is the study of the principles and criteria of valid inference and demonstration.
As a formal science, logic investigates and classifies the structure of statements and arguments, both through the study of formal systems of inference and through the study of arguments in natural language. The field of logic ranges from core topics such as the study of fallacies and paradoxes, to specialized analysis of reasoning using probability and to arguments involving causality. Logic is also commonly used today in argumentation theory.
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