what is the difference between ... a valid logical inference and a true fact statement? I am pretty sure these two things are the same. ~ How many readers have ever failed while trying to solve a sudoku puzzle? Here in America, they put them in the newspapers lately. I don't remember that happening 20 years ago. However, most people know what a crossword puzzle is. Follow a link to dictionary.com and lets find out what an invalid sylogism is. I believe it is a false statement.