31.5 Extra Practice These problems are just for more practice.
24.8 Extra Practice
24.8 Extra Practice These problems are just for more practice.
24.5 What Are Syllogisms?
24.5 What Are Syllogisms? Syllogism: Any two-premise argument. A syllogism is a two-premise argument. For example, this form of argument is called the disjunctive syllogism, because it’s a nifty valid argument using a disjunction: Disjunctive Syllogism: from PvQ and ~P
20 1/2.2 Parts of Syllogisms
20 1/2.2 Parts of Syllogisms Text…
24.6 Aristotle’s A E I O
24.6 Aristotle’s A E I O Since Aristotle’s day it’s been common practice to label Aristotle’s forms with the first four vowels of the Latin alphabet: A, E, I and O. A == All Ps are Q. I == Some
24.7 The Square of Opposition
24.7 The “Modern” Square of Opposition So far you’ve learned Aristotle’s method for categorizing syllogisms. The beauty of it is that it’s exhaustive: there are only 256 different possible categorical syllogisms, and exactly 15 of them are valid. So we
20 1/2.4 Transforming Sentences
20 1/2.4 Transforming Sentences Text…
20 1/2.6 Assessing Syllogisms: Aristotle’s Rules
20 1/2.6 Assessing Syllogisms: Aristotle’s Rules Text…
20 1/2.7 Enthymemes
20 1/2.7 Enthymemes Text…
31.3 Existential Instantiation
31.3 Existential Instantiation The last proof method for quantifiers that we need to learn is how to reason from an existential. Say we know that (1) all the pets are mammals, and (2) there exists a pet. We want to