Rational vs Logical - What's the difference?

rational | logical | Related terms |

Logical is a related term of rational.

As adjectives the difference between rational and logical

is that rational is capable of reasoning while logical is in agreement with the principles of logic.

As a noun rational

is a rational number: a number that can be expressed as the quotient of two integers.

rational

English

Alternative forms

* rationall (obsolete)

Etymology 1

From (etyl) rationel, rational, from (etyl)

Adjective

(en adjective)

Capable of reasoning.

Logically sound; not contradictory or otherwise absurd.

(label) Healthy or balanced intellectually; exhibiting reasonableness.

*{{quote-magazine, date=2014-06-21, volume=411, issue=8892, magazine=(The Economist)

, title= Magician’s brain , passage=The [Isaac] Newton that emerges from the [unpublished] manuscripts is far from the popular image of a rational practitioner of cold and pure reason. The architect of modern science was himself not very modern. He was obsessed with alchemy.}}

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

¾ is a rational number, but ?2 is an irrational number.

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

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

Antonyms

* (reasonable) absurd, irrational, nonsensical * (capable of reasoning) arational, irrational, non-rational * (number theory) irrational

Etymology 2

From (etyl) rational, from , for which see the first etymology.

Noun

(en noun)

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

The quotient of two rationals''' is again a '''rational .

A rational being.

(Young)

References

* *

Anagrams

logical

English

Adjective

(en adjective)

(not comparable) In agreement with the principles of logic.

Reasonable.

(not comparable) Of or pertaining to logic.

(computing) Non-physical or conceptual yet underpinned by something physical or actual.

Logical memory appears contiguous to an application program, but may well be stored on several physical devices, including in RAM and on hard-disks, as determined by the operating system.

* 1986 , Noel Malcolm Morris, Computer graphics and CAD fundamentals: BBC Micro version

It is, of course, vital to restore the logical colours to their normal value at the end of the program

Antonyms

* illogical

Derived terms

* logically * logical analysis * logical atomism * logical positivism * logical empiricism