1. plural of illogicality; instances or examples of reasoning or thinking that lacks logical consistency or validity
Usage: countable noun; formal usage
2. the quality or state of being illogical; lack of logical coherence or sense
Usage: uncountable usage; abstract noun

Examples

• The illogicalities in his argument made it difficult for anyone to take his position seriously.
• She pointed out several illogicalities in the company's business plan.
• The film's plot was filled with illogicalities that confused the audience.
• Despite the illogicalities of the proposal, the board voted to approve it.
• His reasoning contained so many illogicalities that the debate was easily won by his opponent.
• The illogicalities in the witness's testimony raised questions about her credibility.