The most common and most likely answer to this crossword clue is the 7 letter word SOPHISM
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More clues leading to the result SOPHISM
- Very quiet man's initially made a false deduction
- Thus political leader defends his specious argument
- Thus PM defends his specious argument
- Plausible argument seen in very good letter by NCO
- False argument demonstrated by Glossop & his minions
- Concession to that man overlooking second false argument
- Therefore Prime Minister accepts his faulty argument
- Then Prime Minister swallows the guy's false argument
- Thus top politician conveys his dishonest argument
Buddy explains!

The straight part
We know that "False argument" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case false argument = sophism.The cryptic/wordplay part
In cryptic crossword there's often an wordplay/cryptic part as well.This part involves a more complex hint, such as an anagram, homophone, hidden word, etc.
Sadly, We don't have an explanation for this specific crossword clue yet.
What does SOPHISM mean?
SOPHISM noun- A method of teaching using the techniques of philosophy and rhetoric.
- A flawed argument, superficially correct in its reasoning, usually designed to deceive.
- An intentional fallacy.
- A denomination in Islam emphasizing mysticism, asceticism and music.