Rule of the father of parliaments, oddly enough (11)

I believe the answer is:

paternalism

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'rule of the father' is the definition.
The answer and definition can be both related to thinking as well as being singular nouns.
Perhaps they are linked in a way I don't understand?

'parliaments oddly enough' is the wordplay.
'oddly enough' indicates anagramming the letters.
'parliaments' is an anagram of 'PATERNALISM'.

'of' acts as a link.

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I've seen this clue in the Sydney Morning Herald.

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