Chapter 2 vocab Flashcards
(24 cards)
a conclusion you reach using inductive reasoning
conjecture
an example that shows the a conjecture is incorrect
counterexample
is an if-then statement
conditional
is the part p following if
hypothesis
is the part q following then
conclusion
true or false
truth value
is the opposite of the statement
negation
exchange the hypothesis and conclusion
converse
negate both the hypothesis and the conclusion of the conditional
inverse
negate both the hypothesis and the conclusion on converse
contrapositive
have the same truth value
equivalent statements
lists all the possible combinations of truth values for two or more statements
truth table
a single true statement that combines a true conditional and its true converse
biconditional
the process of reasoning logically from given statements or facts to a conclusion
deductive reasoning
allows you to state a conclusion from two true conditional statements when the conclusion of 1 statement is the hypothesis of the other statement
law of syllogism
a = a
reflexive property
if a = b then b= a
symmetric property
if a = b and b= c then a = c
transitive property
a convincing argument that uses deductive reasoning
proof
lists each statement on the left
two- column proof
a conjecture or statement that you prove true
theorem
is written as sentences in a paragraph
paragraph proof
identify the hypothesis of the given true conditional
law of detachment
reasoning based on patterns you observe
inductive reasoning
