non-syllogistical

syl·lo·gis·tic

[sil-uh-jis-tik]
adjective Also, syl·lo·gis·ti·cal.
1.
of or pertaining to a syllogism.
2.
like or consisting of syllogisms.
noun
3.
the part of logic that deals with syllogisms.
4.
syllogistic reasoning.

Origin:
1660–70; < Latin syllogisticus < Greek syllogistikós, equivalent to syllogist(ós), verbid of syllogízesthai (see syllogize) + -ikos -ic

syl·lo·gis·ti·cal·ly, adverb
non·syl·lo·gis·tic, noun, adjective
non·syl·lo·gis·ti·cal, adjective
non·syl·lo·gis·ti·cal·ly, adverb
un·syl·lo·gis·tic, adjective
un·syl·lo·gis·ti·cal, adjective
un·syl·lo·gis·ti·cal·ly, adverb
Dictionary.com Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2013.
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Non-syllogistical is always a great word to know.
So is lollapalooza. Does it mean:
a screen or mat covered with a dark material for shielding a camera lens from excess light or glare.
an extraordinary or unusual thing, person, or event; an exceptional example or instance.
Collins
World English Dictionary
syllogistic (ˌsɪləˈdʒɪstɪk) [Click for IPA pronunciation guide]
 
adj
1.  of, relating to or consisting of syllogisms
 
n
2.  the branch of logic concerned with syllogisms
3.  reasoning by means of syllogisms
 
syllogistically
 
adv

Collins English Dictionary - Complete & Unabridged 10th Edition
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