Introduction to Logic
Authored by Matthew Kilgore
Mathematics
9th - 12th Grade
CCSS covered
Used 4+ times
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20 questions
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1.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
A/an __________________________ is a collection of values, symbols and rules designed to ensure that our reasoning is correct.
logical system
axiom
proposition
hypothesis
Tags
CCSS.RI.8.1
CCSS.RI.8.8
CCSS.RL.11-12.1
CCSS.RL.8.1
CCSS.RL.9-10.1
2.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
In the simplest logical systems, each statement has a/an __________________________ of true or false.
logical value
numerical value
equation
expression
Tags
CCSS.RI.8.1
CCSS.RI.8.8
CCSS.RL.11-12.1
CCSS.RL.8.1
CCSS.RL.9-10.1
3.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
A/an __________________________ is a statement that is assumed to be true by “common sense.” We want to use as few of these as possible!
axiom
expression
equation
congruency
Tags
CCSS.RF.3.3B
CCSS.RF.3.3C
CCSS.RF.3.3D
CCSS.RF.4.3A
CCSS.RF.5.3A
4.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
A/an __________________________ is a statement derived from one or more axioms using the rules of a logical system.
theorem
equation
expression
converse
5.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
A set of logical steps which lead from a statement or statements known or assumed to be true to a theorem is called a __________________________ of that theorem.
proof
inverse
converse
contrapositive
Tags
CCSS.7.G.A.2
6.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
A/an __________________________ is a fact that proves that a logical statement is false.
counterexample
contrapositive
converse
congruency
Tags
CCSS.RI.8.1
CCSS.RI.8.8
CCSS.RL.11-12.1
CCSS.RL.8.1
CCSS.RL.9-10.1
7.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
A logical statement of the form “If A then B,” where A and B are also logical statements, is called a __________________________ statement.
conditional
compound
converse
counterexample
Tags
CCSS.RI.8.1
CCSS.RI.8.8
CCSS.RL.11-12.1
CCSS.RL.8.1
CCSS.RL.9-10.1
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