Facile:

[Dictionary Definition]: ‘facile: arrived at without due care, effort, or examination; superficial: [as in] ‘proposed a facile solution to a complex problem’; readily manifested, together with an aura of insincerity and lack of depth: [as in] ‘a facile slogan devised by politicians’. (The American Heritage® Dictionary).

Fallacy:

[Dictionary Definitions]: ‘Fallacy: a deceptive argument, a sophism; an error, esp. one founded on false reasoning; unsoundness of opinion, an argument, etc. Synonyms: mistaken belief, misconception, false notion, misapprehension, misjudgement, miscalculation, error, mistake, untruth, inconsistency, illusion, delusion, deceit, deception, sophistry, casuistry.’ ©1998 Oxford Dictionary.

Feet of Clay:

[Dictionary Definition]: ‘feet of clay: fundamental weakness in a person who has appeared to be of great merit.’ (Oxford Dictionary).

‘Fiddling Whilst Rome Burns’:

• to be preoccupied with trifles in exigent circumstances/ heedless behaviour in the midst of a crisis/a callous disregard for human suffering (the violin was not invented until many centuries after 64 CE).

Flog:

[Dictionary Definitions]: ‘Flog: Sell, offer for sale (esp. worthless or shoddy goods or those illicitly obtained).’ (Oxford Quotation).

‘Flog to death colloq. talk about, promote, etc., ad nauseam.’ (Oxford Quotation).

Fondly:

[Dictionary Definitions]: ‘fondly: 1. (obsolete) foolishly, ignorantly; 2. affectionately, tenderly, lovingly; 3. with self-deceiving, affectionate, or foolish credulity’ (Oxford Dictionary).

Foreboding:

[Dictionary Definitions]:

• grim foreboding: a desolatory (forsaken, dismal, wretched) or bleak presage.
• dire foreboding: a minatory (ominous, baleful, menacing) or sinister presage.
• awful foreboding: a reconciliatory (awing, humbling, reverential) or redemptive presage. Oxford Dictionary

Furphy :

[Dictionary Definition]: ‘furphy (Austral. Slang): a false report or rumour; an absurd story. (Oxford Dictionary).