A sentence that is true or false but not both.
What is a Statement?
A placeholder for unknown or general values.
What is a Variable?
An assumption or hypothesis of an argument.
What is a premise?
The next three terms in the sequence
23, 14, 5, -4, -13, ...
What is -22, -31, -40?
A system for keeping track of possibilities of situations in which events happen in order
What is a possibility tree?
A statement form that is always true regardless of the truth table.
What is a Tautology?
These statements contain versions of the words "there is."
What are Existential statements?
An error in reasoning that results in an invalid argument.
What is a Fallacy?
5
Σ m(m-2)
m=1
What is 25?
Multiplying the number of possibilities each "step" has to count the total number of possible outcomes for a whole scenario has
What is the multiplication rule?
Statement form that is always false regardless of the truth values.
What is a Contradiction?
"and so forth"
What do elipses represent?
If p then q
p
therefore q
What is Modus Ponens?
3
Σ 4^n
n=0
What is 85?
Set of elements as an ordered selection of outcomes
What is Permutation?
The negation of an "and" statement is logically equivalent to the "or" statement in which each compound is negated.
What is the first part of DeMorgan's Law?
Is the statement {2} ∈ {1,2,3} true or false?
What is False?
p or q
not p
therefore q
What is the argument structure for Elimination?
11!4!/5!9!
What is 22?
Arrangement of individual elements (order is not important)
What is combination?
Use DeMorgan's Law to write negations for the statement: -10 < x < 2
-10 ≥ x or x ≥ 2
Is the statement {2} ⊆ {{1},{2}} true or false?
What is False?
if p then q
if q then r
therefore if p then r
What is the argument structure for Transitivity?
9
Π 3^x
x=6
(Scientific Notation)
What is 2.05*10^4?
(n+5)!/(n+3)!
What is (n+5)(n+4)?