Basic Grammar
The Art and Science of reasoning well.
What is logic?
A logical operator that always gives the opposite.
What is a negation ~ ?
A listing of the truth values produced by a logical operator modifying a minimum number of variables
What is a truth table?
A biconditional's shortcut / "self-talk".
What is true when BOTH match?
The ________Truth table can be used for determining the validity of an argument in one row.
What is a shorter truth table?
A lower case letter that represents any proposition.
What is a propositional variable?
What is a conditional?
Two propositions are ________ if and only if they have identical truth values in a truth table.
What is Logically Equivalent?
I am the symbol for the biconditional.
What is the triple equal?
To determine the validity of a compound proposition, we assume the propositions are ____ and the conclusion is _____.
What is True, False ?
A proposition that has more than one component part, or is modified in some other way.
What is a compound proposition?
What is conjunction?
A conjuction's shortcut / "self-talk".
In a conditional if P then Q, the _________ is the proposition represented by the P.
What is the Antecedent?
If the true propositions and the false conclusion have no ________________ then it is invalid.
What are Contradictions?
In this kind of argument, it is possible for the premises to be true and the conclusion false.
What is an invalid argument?
A logical operator represented by a "v" that says "or".
What is a disjunction?
A disjuction's shortcut / "self-talk".
What is false when both are false?
In a conditional if P then Q, the ____________ is the proposition represented by the Q.
What is the consequent?
In some cases, shorter truth tables may not be completed in only one row. You must ____________ the truth values until you obtain the desired result.
What is assume or guess?
An uppercase letter that represents a single given proposition..
What is a propositional constant?
A logical operator symbolized by three lines that says "if and only if".
What is a biconditional?
A conditional's shortcut / "self-talk".
What is false when ONLY Q (the consequent) is false?
The biconditional is the combination of 2 _____________s.
What is conditionals?
In a ____________ argument, the premises imply the conclusion (if the premises are true, the conclusion must be true).
What is valid?