This is Mathematical Reasoning - an important chapter in Logic in Mathematics.
In this chapter, we will study
-
What is a
statement
-
Finding
Negation
of a statement (∼p)
-
What is a
Compound Statement
-
Checking if compound statement with
And
is true or false
-
Checking if compound statement with
Or
is true or false
-
Checking if the Or is
Inclusive or Exclusive
-
Quantifiers like
There Exists
and
For all
-
Implications like "
If-then
", "
only if
" and "
if and only if
"
-
Contrapositive
statements
-
Converse
Statements
-
Proving
statements true with
-
And
-
Or
-
If then
-
If and only if
-
By contradiction
-
By Contrapositive
-
Proving not true, or proving false by
counter example
Click on a topic of exercise below to start.