What are the advantages of modern symbolic logic over classical logic?

Answer 1

What is the major difference between Symbolic logic and Aristotelian logic?

1. Traditional Aristotelian logic (also called Classical Deductive Logic or Categorical Syllogisms) is an ancient method of deductive reasoning. Historians say that Aristotle, that ancient Greek philosopher guy, was the first to talk about syllogisms. In ancient Greece, men often first presented their arguments in syllogisms, and then they gave their arguments in a more rhetorical form. Men were held to a higher standard back then. This branch of logic gave us such famous lines of reasoning as:

All men are mortal.

Socrates is a man.

Therefore, Socrates is mortal.

2. Modern Symbolic Logic is another method of deductive reasoning developed after the seventeenth century. Gottfried Leibniz and other logicians had a vision for a more simple and useful method for translating ordinary reasoning into a universal language of symbols. Among other things, this method can more quickly analyze longer arguments to see if they are valid. This method of deductive reasoning made logic even more "mathematical." It also made it uglier.

This translates into:

If p is true, then q is true.

p is true.

Therefore, q is true.