The theory of arguments is developed as it was actually practiced by the early Greek probabilists. It is then illustrated by a number of examples of actual arguments. How does one handle facts, simple or complex, introduced by one's opponent in an argument? How can one use antitheses and reversals in an argument? How does one handle analogies, or slippery slope arguments, or dilemmas? This book is addressed to persons who are interested in learning appropriate methods for handling ordinary catch-as-catch-can arguments that arise so often in the usual processes of exchanging opinions about the world and all that goes on within it.