Shared Flashcard Set

Details

Geometry Semester 1
N/A
31
Mathematics
10th Grade
12/19/2010

Additional Mathematics Flashcards

 


 

Cards

Term
Inductive Reasoning
Definition
reasoning that uses a # of specific example to arrive at a conclusion
Term
conjecture
Definition
concluding statement reached using inductive reasoning
Term
Counterexample
Definition
false example
Term
statement
Definition
sentence either true or false
Term
truth value
Definition
either true or false
Term
negation
Definition
statement that has opposite meaning and truth value
Term
compound statement
Definition
2 or more statements joined by "and" or "or"
Term
conjunction
Definition
compound statement using word "and"
Term
disjunction
Definition
compound statement uses word "or"
Term
truth table
Definition
to organize truth values
Term
conditional statement
Definition
statement in "if-then-form"
Term
if-then-statement
Definition
form, if p, then q
Term
hypothesis
Definition
phrase immediately following if
Term
conclusion
Definition
phrase immediately following then
Term
related conditionals
Definition
statements based on given conditional statement
Term
converse
Definition
formed by exhanging hypothesis and conclusion
Term
inverse
Definition
formed by negating both hypothesis and conclusion
Term
contrapositive
Definition
negating both hypothesis and conclusion of the converse
Term
logically equivalent
Definition
statements with the same truth value
Term
deductive reasoning
Definition
uses facts, rules, definitions, or properties to reach logical conclusions
Term
valid
Definition
logically correct
Term
Law of Detachment
Definition
valid form of deductive reasoning
Term
Law of Syllogism
Definition
Valid form of deductive reasoning, using the conclusion of first statement
Term
postulate(axiom)
Definition
statement accepted as true without proof
Term
proof
Definition
logical arguement in which each statement supported by true statement
Term
theorem
Definition
statement or conjecture proven
Term
deductive arguement
Definition
by forming logical chain of statements linking given to what your trying to prove
Term
paragraph proof
Definition
writing paragraph to explain why conjecture for given situation is true
Term
informal proofs
Definition
also called paragraph proofs
Term
algebraic proofs
Definition
proof made up of series of algebraic statements
Term
2 column proofs(formal proofs)
Definition
contains statements and reasons organized in two columns
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