Dialogical logic is like playing a game of talking with another person. Remember when you played the game, "I say something, you say something"? Well, that's kind of what dialogical logic is.
Imagine you're playing with a friend, and you're talking about your favorite fruit. You say "I really like bananas," and your friend says "Oh, I actually don't like bananas, I prefer oranges."
That's kind of how dialogical logic works, too - instead of just saying things to each other, you're having a "discussion" where you both share your thoughts and ideas. In dialogical logic, you use different "moves" to keep the conversation going, just like in a game.
For example, one "move" might be to ask a question - like if your friend said "I prefer oranges" you could ask "Why do you like oranges more than bananas?" Another "move" might be to make a counterargument - like if your friend said "Oranges are better because they have more vitamin C" you might say "But bananas have more potassium, which is good for your muscles!"
So basically, dialogical logic is a way of thinking about how we talk to each other and have conversations. It's like a game with lots of different moves you can make, and it helps us understand how we can use language to communicate our thoughts and ideas.