"contradiction within" is correct and commonly used in written English.
It refers to a contradiction or conflict within one's thoughts, beliefs, or actions. Example: "She struggled with a contradiction within herself - on one hand, she wanted to stand up for her beliefs, but on the other hand, she didn't want to cause conflict with her family."
Her vision was an embrace of dualism and contained a contradiction within itself, a tension trying to be resolved between opposing philosophies.
Her comments underscore the greatest contradiction within Mr. Obama's agenda — not too many legislative priorities, but the difficulty of achieving them in the civics-textbook fashion he espouses.
"Atheism is not the secret of religion, as Feuerbach would have it, but it is the secret contradiction within a religion that denies its own abilities to deal cognitively with what it intrinsic to its own nature.
It all spoke to a wider contradiction within pop punk, whose purveyors are the cerebral champions of deliberately shooting for dumb-ass – something which no longer worked when they reached age 40.
" He is bewildered by the "contradiction" within sections of the disability lobby, some of whom fear that the law will be used to discriminate against disabled people's quality of life and persuade them to end their lives instead.
Arp betrayed a contradiction within the movement when he remarked that "the Dadaists despised what is commonly regarded as art, but put the whole universe on the lofty throne of art".
We invent idols that contain the contradictions within ourselves.
But the contradictions within this straddle could undermine all three.
The new addition to the Denver Art Museum captures all of the contradictions within Mr. Libeskind's oeuvre.
But also, by what might seem the contradictions within her nature, she complements herself.
The voting rights debate also highlights the contradictions within Indian policy towards the Tibetans.
