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- 1. Multiple Choice
What condition exists if an axiomatic system is independent?
It can be proven from the other axioms.
It cannot be proven from the other axioms.
It is true based on the other axioms.
It is false based on the other axioms.
- 2. Multiple Choice
What is the illustration to define the undefined terms so that the axioms are true?
Model
Replica
Isometry
Diagram
- 3. Multiple Choice
What is any statement that can be proven using logical deduction from the axioms?
Undefined Terms
Definition
Theorem
Axiom
- 4. Multiple Choice
What is a list of undefined terms together with a list of axioms (presupposed to be “true”), a definition in proving theorems and other components of mathematical system?
Mathematical Structure
Mathematical Set
Axiomatic Structure
Axiomatic Set
- 5. Multiple Choice
What condition exists if an axiomatic system is complete?
If every true statement can be proven from the axioms.
If every true statement exists.
If every true statement can stand on its own.
If every true statement is independent and consistent.
- 6. Multiple Choice
What condition exists if an axiomatic system is consistent?
It can be proven from the other axioms.
It cannot be proven from the other axioms.
There is a model for an axiomatic system where the axioms are all true .
There is a model for an axiomatic system where one axiom is independent.
- 7. Multiple Choice
How many models can be used to illustrate axiomatic systems?
Only one
Two models
Three models
Cannot be determined
- 8. Multiple Choice
What is an axiom?
presupposed to be “true”
always true
presupposed to be “false”
always false
- 9. Multiple Choice
Which of the following axioms cannot be proven from other presupposed axioms?
Consistent
Redundant
Independent
Inconsistent
- 10. Multiple Choice
Which axiom satisfies the model below?
Each pot is a set of two flowers.
Each flower is on exactly one pot.
Two flowers may be together on more than one pot.
There is at least one flower.
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