Yes, there are. For example, stories of people who have overcome serious illnesses or accomplished extraordinary feats in difficult circumstances can be considered incredible and true.
An incredible story that is also logically true often contains elements that seem extraordinary yet can be explained rationally. For example, a story about a person surviving a plane crash in a remote area. It's incredible because the odds of survival are low, but it can be logically true if the person had certain skills like wilderness survival knowledge and was lucky enough to find resources. The combination of rare circumstances and a logical sequence of events makes such a story both incredible and true.
The story of Helen Keller is quite well - known. She was blind and deaf from a young age, but with the help of her teacher, Anne Sullivan, she learned to communicate and became a very educated and influential person. It's an amazing story of overcoming seemingly insurmountable barriers.
There is the story of Malala Yousafzai. She defied the Taliban in Pakistan to fight for girls' education. Despite being shot in the head by the Taliban, she survived and continued her fight on a global scale. Her story shows great courage and determination.
Sure. One incredible true story is about Aron Ralston. He was a hiker who got his arm trapped by a boulder in a Utah canyon. After days of being stuck, he made the extreme decision to cut off his own arm to save his life. It's a story of incredible survival and determination.
The story of Phineas Gage is also quite remarkable. He was a railroad construction foreman. An accident sent a large iron rod through his head, destroying much of his frontal lobe. Miraculously, he survived. But his personality changed significantly, which provided early insights into the role of the frontal lobe in human behavior.
In the story of the RMS Titanic, it was billed as an unsinkable ship. But on its maiden voyage in 1912, it hit an iceberg and sank. The fact that such a grand and supposedly indestructible ship could meet such a tragic end is truly incredible. Also, the stories of heroism and sacrifice during the sinking are both heart - wrenching and amazing.
Authenticity. Since they are based on real events, they have an inherent truthfulness that draws readers in. For example, in 'Schindler's List' - the book version, the real - life story of Oskar Schindler saving Jews during the Holocaust makes it a powerful read.