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The phrase "contradictory ideas" is correct and usable in written English.
It can be used to describe two or more concepts, beliefs, opinions, etc. that are mutually exclusive. For example: "The two opposing political parties have very contradictory ideas on how to handle the current economic crisis."
Exact(60)
His advisers advocated contradictory ideas.
It will force you to hold contradictory ideas in your head.
There are two main and contradictory ideas about how that relationship might work.
"For a horse, two contradictory ideas can both be true at the same moment".
One reason is that the networking concept has bundled together too many contradictory ideas.
Seeking the simple solution has produced simplistic, misguided and often contradictory ideas.
Hare also follows the Shavian practice of giving comparable weight to contradictory ideas.
Some say genius is the ability to hold two contradictory ideas at the same time.
Chávez's Bolívarian revolution, as retold by 'Mao', is a mishmash of contradictory ideas.
It dominates everything, yet within it Ms. Walker finds a chaos of contradictory ideas and emotions.
To appreciate parody, you must be capable of holding two contradictory ideas in your head simultaneously.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com