Mathematical Statements flashcards
16 practice cards drawn from the Mathematical Statements lessons. Tap a card to turn it over. Every answer is checked against the lesson it came from.
Read the Mathematical Statements lessons in full →
What kind of sentence is on the board?
a definition
from “Definitions, Propositions and Theorems”
Which of these is true in the case drawn?
P and Q
from “Logical Connectives and Truth Tables”
What is the negation of the statement drawn?
it is not a square, or not blue
from “Negating a Statement”
Take the case: a rectangle that is not a square. What does that do to the statement drawn?
the statement says nothing here
from “Conditional Statements”
Take the case: it did not rain and the ground is wet. What does that do to the statement drawn?
the statement says nothing here
from “Conditional Statements”
What is the inverse of the statement drawn?
if a shape is not a square, then it does not have four sides
from “The Converse and the Inverse”
What is the converse of the statement drawn?
if a shape has four sides, then it is a square
from “The Converse and the Inverse”
Which statement always agrees with the converse?
the inverse
from “The Contrapositive”
Which of the three has to be true whenever the original is?
the contrapositive
from “The Contrapositive”
What are three equal angles, for three equal sides?
both necessary and sufficient
from “Necessary and Sufficient Conditions”
What is being even, for being a multiple of 4?
necessary but not sufficient
from “Necessary and Sufficient Conditions”
What is the status of the statement drawn?
true in both directions
from “If and Only If”
Which single number settles the statement drawn?
6
from “If and Only If”
What would break the statement drawn?
one n that fails
from “For All and There Exists”
What would settle the statement drawn?
an argument covering every n
from “For All and There Exists”
What is the negation of the statement drawn?
for all whole n,
from “Negating a Quantified Statement”