VS.

# Logic vs. Rational

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logical

Capable of reasoning.

âMan is a rational creature.â;

Logicnoun

(uncountable) A method of human thought that involves thinking in a linear, step-by-step manner about how a problem can be solved. Logic is the basis of many principles including the scientific method.

Logically sound; not contradictory or otherwise absurd.

âHis statements were quite rational.â;

Logicnoun

The study of the principles and criteria of valid inference and demonstration.

(of a person or personal characteristics) Healthy or balanced intellectually; exhibiting reasonableness.

ârational conductâ;

Logicnoun

The mathematical study of relationships between rigorously defined concepts and of mathematical proof of statements.

Of a number, capable of being expressed as the ratio of two integers.

â¾ is a rational number, but â2 is an irrational number.â;

Logicnoun

A formal or informal language together with a deductive system or a model-theoretic semantics.

Of an algebraic expression, capable of being expressed as the ratio of two polynomials.

Logicnoun

(uncountable) Any system of thought, whether rigorous and productive or not, especially one associated with a particular person.

âIt's hard to work out his system of logic.â;

(chemistry) Expressing the type, structure, relations, and reactions of a compound; graphic; said of formulae.

Logicnoun

(uncountable) The part of a system (usually electronic) that performs the boolean logic operations, short for logic gates or logic circuit.

âFred is designing the logic for the new controller.â;

(physics) Expressing a physical object.

âA rational table is physical, a written table is neither.â;

Logicverb

To engage in excessive or inappropriate application of logic.

Rationalnoun

(mathematics) A rational number: a number that can be expressed as the quotient of two integers.

âThe quotient of two rationals is again a rational.â;

Logicverb

(transitive) To apply logical reasoning to.

Rationalnoun

(historical) The breastplate worn by Israelite high priests.

â1609, Douay-Rheims Bible, Exodus 28:15â; âAnd thou shalt make the rational of judgment with embroidered work of divers colours, according to the workmanship of the ephod, of gold, violet, and purple, and scarlet twice dyed, and fine twisted linen.â;

Logicverb

(transitive) To overcome by logical argument.

Relating to the reason; not physical; mental.

âMoral philosophy was his chiefest end; for the rational, the natural, and mathematics . . . were but simple pastimes in comparison of the other.â;

Logicnoun

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.

â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.â;

Having reason, or the faculty of reasoning; endowed with reason or understanding; reasoning.

âIt is our glory and happiness to have a rational nature.â;

Logicnoun

A treatise on logic; as, Mill's Logic.

Agreeable to reason; not absurd, preposterous, extravagant, foolish, fanciful, or the like; wise; judicious; as, rational conduct; a rational man.

Logicnoun

correct reasoning; as, I can't see any logic in his argument; also, sound judgment; as, the logic of surrender was uncontestable.

Expressing the type, structure, relations, and reactions of a compound; graphic; - said of formulæ. See under Formula.

âWhat higher in her society thou find'stAttractive, human, rational, love still.â; âA law may be reasonable in itself, although a man does not allow it, or does not know the reason of the lawgivers.â;

Logicnoun

The path of reasoning used in any specific argument; as, his logic was irrefutable.

Rationalnoun

A rational being.

Logicnoun

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.

consistent with or based on or using reason;

ârational behaviorâ; âa process of rational inferenceâ; ârational thoughtâ;

Logicnoun

the branch of philosophy that analyzes inference

of or associated with or requiring the use of the mind;

âintellectual problemsâ; âthe triumph of the rational over the animal side of manâ;

Logicnoun

reasoned and reasonable judgment;

âit made a certain kind of logicâ;

capable of being expressed as a quotient of integers;

ârational numbersâ;

Logicnoun

the principles that guide reasoning within a given field or situation;

âeconomic logic requires itâ; âby the logic of warâ;

having its source in or being guided by the intellect (distinguished from experience or emotion);

âa rational analysisâ;

Logicnoun

a system of reasoning

Logic

Logic (from Greek: Î»ÎżÎłÎčÎșÎź, logikáž, 'possessed of reason, intellectual, dialectical, argumentative') is the systematic study of valid rules of inference, i.e. the relations that lead to the acceptance of one proposition (the conclusion) on the basis of a set of other propositions (premises).