The phrase "to defy all logic" means that something doesn't make sense or goes against what is expected based on reasoning or rationality. Full definition
I just realized that an eternal being creating the universe in 7 days and 8000 years of total existence defies the logic of what has been proven by some of the brightest minds ever to live on this planet. (religion.blogs.cnn.com)
Across the entire game you spend a good portion of your time with your feet off the ground, grinding on rails, bouncing off objects (some of which defy logic), and whatever other aerodynamic abilities you can think of, run along wall, check, float through the air, to some other degree check. (gameluster.com)
And His Spirit within me «knows» the difference and It does not defy logic or conscience. (redeeminggod.com)