Operation Sets Flashcards
The system used to communicate mathematical ideas
Mathematical Language
a finite combination of symbols that is well-defined
Mathematical Expression
A statement about two expressions,either using numbers,variables or a combination of both
Mathematical Sentence
A fact,name ,notation or usage which is generally agreed upon by mathematicians
Mathematical Convention
A well-defined collection of objects
Sets
The elements of the set are enumerate and separated by a comma.It is also called the Listing Method
Roster Method
A descriptive phrase is used to describe elements of the set it is also called Set-Builder Notation
Rule Method
Is a set whose elements are limited or countable can be identified
Finite set
Is a set of elements are unlimited or uncountable cannot be specified
Infinite Set
Is a set with only one element it is also called singleton
Unit set
Is a unique set with no element it is denoted by the symbol 0
Empty set
The number of elements or members in the set,the cardinality of set A is denoted by n(A)
Cardinal number of a set
Denoted by A U B the set of all elements x such that x is in A or X is in B
Union
Denoted by A baliktad na U B is the set of all elements x such that x is in A and in B
Intersection
Two sets are called disjoint of and only if they have no element in common
Disjoint Sets
If A and B are sets,A is called subject of B,if and only if every element of A and also an element of B
Subset
Let A and B be sets
Proper subset
Given set A and B, A equals B, written A = B if and only if every element of A is in B and every element of B is in A
Equal sets
The power set of S denoted by P(S) is the collection(or sets)of all subsets of S
Power Set
The study of how to evaluate arguments and reasoning
Formal Logic
A declarative sentence which is either true or false,but not both
Statement (or proposition)
Used to combine simple statements which are referred as compound statements
Logical Connectives
The conjunction of the statement p and q is the compound statement “p and q”
Conjunction
The disconjunction of the statement p and q is the compound statement “p and q”
Disjunction
The negation of the statement p is denoted by ~p, where ~ is the symbol for “not.
Negation
The conditional or implication of the statement p and q is the compound statement “if p then q.
Conditional Statement
The biconditional of the statement p and q is the compound statement “p and if and only if q”
Biconditional Statement
The biconditional of the statement p and q is the compound statement “p and if and only if q”
Biconditional Statement
A statement whose truth depends on the value of one or more variables
Predicate (open statements)