IPA: /ɪnˈkɒnsɪkwəns/
KK: /ɪnˈkɒnsɪkwəns/
The state of not being logically connected or relevant; a lack of importance or significance.
The inconsequence of his remarks made it difficult to take him seriously.
Inconsequence → It is formed from "in-" (meaning not) and "consequent" (from Latin "consequentem", meaning following or resulting). The word "inconsequence" refers to a lack of logical connection or a failure to follow from something, hence meaning not following logically.
Think of 'not' ('in-') leading to something that 'follows' ('consequent') — that's why inconsequence means a lack of logical connection.