Convictions are what you believe in; it’s your beliefs and opinions. Just because you believe something, it doesn’t make it true. People’s convictions are objective and because of that sometimes people are wrong despite how strongly they believe in their thinking. Reading this passage, it’s saying that unknowingly lying is more dangerous to the truth than knowing that you are lying. When lying you know what the truth is, but when you hold false convictions you have ignorance to the truth. Coming to conclusions based on flawed thinking is dangerous to the truth. You can’t think critically about your opinions if you believe in something that just isn’t true.