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Foundations of Mathematics

Total questions: 15

Worksheet time: 1hrs 15mins

Name
Class
Date
1.

What type of mathematical thinking involves the ability to image objects and pictures in the mind’s eye and to be able to mentally transform the positions and examine the properties of these objects/pictures?

a)

Spatial/Geometric Reasoning

b)

Logical/Scientific Reasoning

c)

Natural and Formal Mathematics

d)

Computational Reasoning

2.

This is part of the number system, including all the positive integers from 1 to infinity.

a)

Natural Numbers

b)

Integers

c)

Rational Numbers

d)

Irrational Numbers

3.

It is defined as a number with no decimal or fractional part, from the set of negative and positive numbers, including zero.

a)

Integers

b)

Real Numbers

c)

Fraction

d)

Rational Numbers

4.

What do you call the enumerated collection of objects in which repetitions are allowed and order matters. Like a set, it contains members (also called elements, or terms). The number of elements (possibly infinite) is called the length of the sequence.

a)

 Sequence

b)

Restriction

c)

Subsets

d)

Cardinality

5.

It is a set which contains all the elements or objects of other sets, including its own elements.

a)

Proper Sets

b)

Universal Sets

c)

Null Sets

d)

 Cardinality

6.

It refers to a number written in a certain order and used to show the position on a graph, where the "x" (horizontal) value is first, and the "y" (vertical) value is second.

a)

Ordered Pairs

b)

Composition of Function

c)

Elements

d)

Implication

7.

It is a steppingstone on the path to proving a theorem. A minor result whose sole purpose is to help in proving a theorem.

a)

Lemma

b)

Properties

c)

Subsets

d)

Corollary

8.

He is the Father of Logic.

a)

Aristotle

b)

Aryabhata

c)

Archimedes

d)

Andres Celsius

9.

It is a one-to-one correspondence (mapping) between two sets that preserves binary relationships between elements of the sets.

a)

Induction

b)

Isomorphism

c)

Peano Axioms

d)

Theorem

10.

It is defined as numbers that have real and imaginary numbers. This is also defined as real number whose imaginary part is 0.

a)

Complex Numbers

b)

Natural Numbers

c)

Number Systems

d)

Whole Numbers

11.

He is a mathematician who is most widely known for development of non-standard analysis, a mathematically rigorous system whereby infinitesimal and infinite numbers were reincorporated into modern mathematics.

a)

Abraham Harold Maslow 

b)

Abraham Wald

c)

Abraham De Moivre 

d)

Abraham Robinson

12.

These are a generalization of the natural numbers used to measure the cardinality of sets.

a)

Cardinal Numbers

b)

Infinitive

c)

Proper Subset

d)

Universal Set

13.

This word comes from a 17th-century Modern Latin coinage infinitesimus, which originally referred to the "infinity-th" item in a sequence.

a)

Infinity

b)

Infinitive

c)

Infinitesimal

d)

Infinite

14.

What do you call to a mathematical statement or property considered to be self-evidently true, but yet cannot be proven?

a)

Axioms

b)

Fractions

c)

Modulus

d)

Integers

15.

What is Godel's Theorem called?

a)

Ore's Theorem

b)

Optical Equivalence Theorem

c)

Incompleteness Theorem

d)

Ostrowski's Theorem