ra·tion·al·i·ty

[rash-uh-nal-i-tee]
noun, plural ra·tion·al·i·ties.
1.
the state or quality of being rational.
2.
3.
agreeableness to reason; reasonableness.
4.
the exercise of reason.
5.
a reasonable view, practice, etc.

Origin:
1560–70; < Late Latin ratiōnālitās reasonableness. See rational, -ity

an·ti·ra·tion·al·i·ty, noun, adjective
non·ra·tion·al·i·ty, noun
Dictionary.com Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2013.
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00:10
Rationality is always a great word to know.
So is slumgullion. Does it mean:
a stew of meat, vegetables, potatoes, etc.
a calculus or concretion found in the stomach or intestines of certain animals, esp. ruminants, formerly reputed to be an effective remedy for poison.
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World English Dictionary
rationality (ˌræʃəˈnælɪtɪ) [Click for IPA pronunciation guide]
 
n , pl -ties
1.  the state or quality of being rational or logical
2.  the possession or utilization of reason or logic
3.  a reasonable or logical opinion
4.  economics the assumption that an individual will compare all possible combinations of goods and their prices when making purchases

Collins English Dictionary - Complete & Unabridged 10th Edition
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Encyclopedia Britannica
Encyclopedia

rationality

in philosophy, the faculty or process of drawing logical inferences. The term "reason" is also used in several other, narrower senses. Reason is in opposition to sensation, perception, feeling, desire, as the faculty (the existence of which is denied by empiricists) by which fundamental truths are intuitively apprehended. These fundamental truths are the causes or "reasons" of all derivative facts. According to the German philosopher Immanuel Kant, reason is the power of synthesizing into unity, by means of comprehensive principles, the concepts that are provided by the intellect. That reason which gives a priori principles Kant calls "pure reason," as distinguished from the "practical reason," which is specially concerned with the performance of actions. In formal logic the drawing of inferences (frequently called "ratiocination," from Latin ratiocinari, "to use the reasoning faculty") is classified from Aristotle on as deductive (from generals to particulars) and inductive (from particulars to generals).

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Encyclopedia Britannica, 2008. Encyclopedia Britannica Online.
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Example sentences
They'll never listen if you try logic and rationality- perhaps better to go
  after them using their own weapons.
Logic and rationality might contribute a bit to these questions but cannot
  answer them.
Therefore, our decisions must be tempered by logic, rationality and
  intelligence.
He simply suggests a terminology and provides a facade of rationality.
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