math def

Question 1

science of correct thinking and reasoning

Answer 1

LOGIC

Question 2

an interdisciplinary field which studies truth
and reasoning

Answer 2

LOGIC

Question 3

(1815-1864): English mathematician and
Father of symbolic logic

Answer 3

George Boole

Question 4

(1832-1898): English writer
and “mathematician” known as Lewis Carroll who wrote
nonsensical classics such as Alice Adventures in
Wonderland Through the Looking Glass

Answer 4

Charles Lutwidge Dodgson

Question 5

Uses of Logic

Answer 5

Lawyers and judges

Programmers

Mathematicians

Question 6

It is a declarative sentence that is
either true or false, but not both.

Answer 6

STATEMENT

Question 7

It is a proposition/statement
that conveys a single idea

Answer 7

SIMPLE STATEMENT

Question 8

It is a proposition/statement
that conveys two or more
ideas

Answer 8

COMPOUND STATEMENT

Question 9

used several symbols to represent simple statements and connectives

Answer 9

George Boole

Question 10

The truth value of a simple statement is

Answer 10

either true (T) or false (F).

Question 11

The truth value of a compound statement
depends on the

Answer 11

truth values of its simple
statements and its connectives.

Question 12

It is a collection of related and well-defined objects
called elements (denoted by ∈).

Answer 12

SET

Question 13

(1845-1918) introduced the word set in 1879.

Answer 13

Georg Cantor

Question 14

It is collection of all elements of all the
related sets, known as its subsets. The
universal set is usually denoted by U

Answer 14

UNIVERSAL SET

Question 15

Symbol
ℝ

Answer 15

real numbers

Question 16

Symbol
ℚ

Answer 16

rational number

Question 17

Symbol
ℤ

Answer 17

integers

Question 18

Symbol
ℕ

Answer 18

natural numbers

Question 19

Symbol
W

Answer 19

whole numbers

Question 20

Roster Notation

Answer 20

is a way of listing the elements
separated by a comma

Question 21

it is a way of representing or explaining
the properties that must satisfy by the
elements of a set

Answer 21

Set-Builder Notation

Question 22

It is a set which contains no elements

Answer 22

EMPTY SET

Question 23

EMPTY SET
It is a set which contains no elements. It is
usually denoted

Answer 23

as { } or ∅

Question 24

The empty set is always considered a ___
of any set.

Answer 24

subset

Question 25

These are sets contained in a universal set
or another set.

Answer 25

SUBSET

Question 26

is any subset of a set
except itself

Answer 26

PROPER SUBSET

Question 27

It is the set of all subsets for any given
set which includes the empty set.

Answer 27

POWER OF A SET

Question 28

n pertains to the relationship
between two or more variables

Answer 28

RELATION

Question 29

(19th century) – American mathematician
and logician introduced this formal definition of relation

Answer 29

C.S Peirce

Question 30

(17th century) – German mathematician and
philosopher who wrote an essay regarding the six-cornered
snowflake.

Answer 30

Johannes Kepler (

Question 31

A recursive definition for a sequence is one in
which each successive term of the sequence is
defined by using some of the preceding terms

Answer 31

THE FIBONACCI SEQUENCE