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What is a structure formed from one or more sets of undefined objects, various concepts that may or may not be defined, and a set of axioms relating these objects and concepts?
a. Mathematical Sentence
b. Mathematical System
c. Mathematical Model
d. Mathematical Reasoning
What is a list of undefined terms together with a list of axioms (presupposed to be “true”), the definition in proving theorems and other components of a mathematical system?
a. Mathematical Structure c. Axiomatic Structure
b. Mathematical Set d. Axiomatic Set
c. Axiomatic Structure
d. Axiomatic Set
What condition exists if an axiomatic system is consistent?
a. It can be proven from the other axioms.
b. It cannot be proven from the other axioms.
c. there is a model for an axiomatic system where the axioms are all true.
d. there is a model for an axiomatic system where one axiom is independent.
What model presents the axiom “Each committee is a set of four members”?
a. {A,B,C,D}
b. {A,A,B,B}
c. {A,B}
d. {A,B,C}
What is an axiom?
a. Presupposed to be “true”
b. Always true
c. Presupposed to be “false”
d. Always false
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