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Basic Symbolic Logic Trivia Quiz

Test your knowledge of logic terms and symbols.

A multiple-choice quiz by UVcatastrophe. Estimated time: 4 mins.

Author
UVcatastrophe

Time
4 mins

Type
Multiple Choice

Quiz #
87,045

Updated
Dec 03 21

# Qns
10

Difficulty
Average

Avg Score
6 / 10

Plays
2217

One at a Time - Single Page - Timed Game

Question 1 of 10

1. Defined as declarative statements which are either true or false, but not both at the same time, these are the building blocks of logic. Hint

propositions

declerations

suppositions

generalizations

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Question 2 of 10

2. This term is the most simple operation in logic. It simply reverses the truth value. Hint

elevation

ionization

negation

reversion

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Question 3 of 10

3. This is the most simple of the logical connectives in logic. Using it and negation, all other common logical connectives can be derived. Hint

conjunction

projunction

dejunction

junction

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Question 4 of 10

4. This logical connective can either be inclusive or exclusive. It is symbolized by an upside-down triangle with an open top. Hint

conjunction

disfunction

disjunction

unjuction

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Question 5 of 10

5. This tool is where logicians do much of their work. It is designed to summarize truth values using rows and columns. Hint

correctness gauge

reality table

truth table

truth diagram

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Question 6 of 10

6. This is a compound statement which is true no matter what the truth values are of its smaller components. Hint

ritology

altruism

tautology

recurring truth

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Question 7 of 10

7. This is a compound statement which is false no matter what the truth values are of its smaller components. Hint

contradiction

blunder

negation

opposition

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Question 8 of 10

8. If two statements are this, their truth values are the same for every set of truth values of their components. Hint

logically congruent

logically similar

logically equivalent

logically symmetrical

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Question 9 of 10

9. Which of the following statements is the contrapositive of the statement "If koalas love me then I love koalas?" Hint

If koalas do not love me then I love koalas.

If I do not love koalas then koalas do not love me.

If I love koalas then koalas love me.

If koalas do not love me then I love me.

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Question 10 of 10

10. This logic tool consists of three statements, two of which are premises and the other, a conclusion. In order to check validity, Venn Diagrams are often used. Hint

logism

syllogism

retrogism

modulogism

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Quiz Answer Key and Fun Facts

1. Defined as declarative statements which are either true or false, but not both at the same time, these are the building blocks of logic.

Answer: propositions

Logic involves manipulation of propositions or statements in order to arrive at desired conclusions.

2. This term is the most simple operation in logic. It simply reverses the truth value.

Answer: negation

This causes a proposition to go from "I ride bikes," to "I do not ride bikes." Pretty simple.

3. This is the most simple of the logical connectives in logic. Using it and negation, all other common logical connectives can be derived.

Answer: conjunction

Words commonly used as conjuctions are the words "and, but, although," and "whereas."

4. This logical connective can either be inclusive or exclusive. It is symbolized by an upside-down triangle with an open top.

Answer: disjunction

The word "or" is commonly used to show disjunction between two propositions. Exclusive disjunction signifies that either one statement or the other is true, but not both. Inclusive disjunction signifies that either one or both of the statements are true.

5. This tool is where logicians do much of their work. It is designed to summarize truth values using rows and columns.

Answer: truth table

Truth tables grids of T's (for true) and F's (for false). They don't look very impressive, but they can be tricky to work with.

6. This is a compound statement which is true no matter what the truth values are of its smaller components.

Answer: tautology

Nothing is guaranteed to be true in life. Logic can fill the spiritual holes that we all seek to plug.

7. This is a compound statement which is false no matter what the truth values are of its smaller components.

Answer: contradiction

This answer could probably be deduced from the common definition.

8. If two statements are this, their truth values are the same for every set of truth values of their components.

Answer: logically equivalent

In cases where compound statements are logically equivalent, they can be interchanged if they are part of a larger compound statement.

9. Which of the following statements is the contrapositive of the statement "If koalas love me then I love koalas?"

Answer: If I do not love koalas then koalas do not love me.

Who doesn't love koalas? A contrapositive is the inverse and the converse of a conditional proposition.

10. This logic tool consists of three statements, two of which are premises and the other, a conclusion. In order to check validity, Venn Diagrams are often used.

Answer: syllogism

A logician in Eugene Ionesco's absurdist play "Rhinoceros" uses syllogisms incorrectly to prove that Socrates was a cat.

Source: Author UVcatastrophe

This quiz was reviewed by FunTrivia editor crisw before going online.
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