is a collection or aggregate of objects of any kind. It can be represented by the upper case letters A, B, C,…
SETS
is the part of mathematics devoted to the study of discrete (distinct or unconnected elements) objects.
DISCRETE MATHEMATICS
is a declarative sentence (that is, a sentence that declares a fact) that is either true or false, but not both.
PROPOSITION
the sets can finite if we can enumarate the element in the some order by counting one by one until the last element is reached.
FINITE
the sets can be infinite if the process of counting can never end; donated by three dots.
INFINITE
COMPLETE THE SENTENCE:
Proposition is the __________ of logic
BUILDING BLOCKS
The area of logic that deals with propositions is called the
PROPOSITIONAL CALCULUS OR PROPOSITIONAL LOGIC
The special set that has no elements denoted by ∅. The empty set can also be denoted by { }(pair of braces).The special set that has no elements denoted by ∅. The empty set can also be denoted by { }(pair of braces).
it is a statement that neither tautology and contradictory
CONTINGENCY
What is a variable whose value is either true or false and can be presented using a BIT?
BOOLEAN VALUE
What is compound composition?
A statement that has two or more propositional statements.
What is the meaning of NEGATION (NOT)?
Negation can be formed by writing "it is not true that.." or "it is false that" before p , or inserting the world NOT.
What is the cardinality of the set of positive integers?
Infinite
What is the power set of the empty set?
P(∅) ={∅}.
Let p and q be the propositions (as conjunction)
p : It is below freezing.
q : It is snowing.
It is below freezing and it is snowing.
Let S be the set of letters in the English alphabet. What is the cardinality of S?
|S| = 26
What is the negation of the proposition “Today is Monday”?
TODAY IS NOT MONDAY
What are the ordered pairs in less than or equal to relation, which contains (a, b) if a ≤ b, on the set {0,1,2,3}?
The ordered pairs in R are (0,0), (0,1), (0,2), (0,3), (1,1), (1,2), (1,3), (2,2), (2, 3), and (3, 3).
What is the logical statement of the proposition “If you will not get 100% in the exam, then you will not get an A.”
-p -> -q
Let A be the set of odd positive integers less than 10. What is the cardinality of A?
|A| = 5