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Definitions
Logical Operators
Truth Tables
Miscellany
Dilemmas
100
The art and science of reasoning well.
What is logic?
100
It denies or contradicts a proposition.
What is negation?
100
They help us determine the truth value of compound propositions, given the truth value of their component parts.
What are truth tables?
100
When the premises of an argument can be true and the conclusion false.
What is invalid or invalidity?
100
A valid argument which presents a choice between two conditionals.
What is a dilemma?
200
It is the branch of formal, deductive logic in which the basic unit of thought is the proposition.
What is propositional logic?
200
It is represented by the words "and, but or still."
What is a conjunction?
200
If the premises are true, the conclusion must be true.
What is validity?
200
They are words which combine or modify simple propositions in order to form compound propositions.
What are logical operators?
200
They are the three valid ways to defeat a dilemma.
What are going between the horns, grasping the horns and rebutting the horns?
300
These are words that combine or modify simple propositions to make compound propositions.
What are logical operators?
300
They are the components in a disjunction.
What are disjuncts?
300
When two or more propositions can be true at the same time.
What is consistent or consistency?
300
When the truth value of the proposition depends upon the truth values of its component parts.
What is truth-functional?
300
It is a dilemma that works like modus tollens.
What is a destructive dilemma?
400
It is a proposition that is always true due to logical structure.
What is a tautology?
400
It can take many forms other than the basic "if x, then y" structure.
What are conditionals?
400
It is the translation of "Unless p, q"
What is ~p ∩ q?
400
Jim Nance and Douglas Wilson.
Who are the authors of the logic textbook used in class?
400
It is the name of the rule that states "If p then q" is equivalent to "If not q then not p."
What is the rule of transposition? (page 30)
500
It's what you get when you get a contradiction after assuming that two or more propositions are all true.
What is not consistent or inconsistent?
500
It is true when both component propositions have the same truth value, and is false when their truth values differ.
What is a biconditional?
500
It is the number of rows needed when you make a truth table for propositions that use only constants with known truth values.
What is one row?
500
An English logician who invented a diagram for analyzing the validity of syllogisms.
Who was John Venn?
500
It is the method used to defeat a dilemma that poses a counter-dilemma where the two options presented are positive.
What is rebutting the horns of the dilemma?