The Free Dictionary define illogicalities as: 1. Contradicting or disregarding the principles of logic. 2. Without logic; senseless.

Synonyms for illogicalities: irrational, unreason and unreasonableness.
We might go on pointing out the necessity for logic in speech ad infinitum, but we will be merciful and conclude with three not very serious questions and a small warning.

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1. When trees and rosebushes are planted in a row, thus; tree, rosebush, tree, rosebush, tree, etc., how do you express it in words? "Between each tree," say the slapdash, "is a rosebush" - obviously impossible. "Between the trees is impossible too, or, "Among the trees?" This sounds too vague.

• "Between each tree and the next is a rosebush?"
• "Between every two trees is a rosebush?"
• "Alternating with the trees are rosebushes?"

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1. How do you say more colloquially (conversational): "But owing to the acquisitiveness of Mr M. (now Lord N.) ...?" "Owing to Mr M. (now Lord N)'s acquisitiveness...?" Natural to say, but pedantic (finicky) to write.

2. (a) How many arms have the girl who says, "My one arm is covered with mosquito bites.
   (b) How many sons have the man who says, "My two sons are in America?"

3. "He asked me to use my typewriter" means, "He asked me if I would use my typewriter," not, "He asked me if he might use my typewriter." If you mean the second, say it.

source:http://www.thesaurus.com/browse/meaning%20of%20pedantic?s=ts
The Free Dictionary
English Grammar: EBH Joubert

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