The phrase "contradictory concepts" is correct and usable in written English.
You can use it to describe two ideas or concepts that are opposite in nature and cannot exist together. For example, you could say "The idea of absolute freedom and absolute control represent contradictory concepts."
Human rights conventions are full of abstract and even contradictory concepts.
The contradictory concepts at the heart of Philip K Dick's 1969 short story The Electric Ant have fascinated me ever since I first read it 20 years ago.
Recently, it was proposed that mental health and mental toughness are contradictory concepts in the world of elite sport.
Examining different regulation characteristics and distinguishing between their long-term and short-term effects brings the two seemingly contradictory concepts in line.
"They're now requiring not only the proper acknowledgement of freedom of conscience, political views and private life, but also the mandatory acknowledgement of the equality of good and evil, which are inherently contradictory concepts," he said.
While toughening and damage might seem to be two contradictory concepts for the mechanics of crack growth, they are actually the same phenomena perceived from two different vantage points.
Neither Rafanelli nor Pakieser shy away from the fact that this is an unusual and contradictory concept of identity.
So we have a contradictory concept of pain, which means that nothing can be a pain — an object or event with essentially contradictory properties does not and cannot exist.
Over-caution was a contradictory concept: some perceived themselves – and others – as being too cautious to stop the injections (usually for fear of the patient becoming breathless) whilst others would have already stopped the injections to spare the patient what they felt was unnecessary intervention.
Elected by a landslide in 2010, Mr. Orban has steadily weakened Hungary's democratic institutions while invoking the self-contradictory concept of "illiberal democracy" and hailing the autocratic governments of Vladimir V. Putin of Russia and Recep Tayyip Erdogan of Turkey.
He considers these problematic because they give rise to an empirically given, yet self-contradictory concept (Weiss 1928: 37).
