Section 1

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Truth Table

Front

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Last updated

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Date created

Mar 1, 2020

Cards (32)

Section 1

(32 cards)

Truth Table

Front

a table used as a convenient for organization the truth values of statements

Back

Hypothesis

Front

in a conditional statement that immidiately follows the word if

Back

Disjunction

Front

a compound statement formed by joing two or more statements with the word or

Back

Counter Example

Front

an example used to show that a given statement is not always true

Back

Paragraph Proof

Front

an informal proof written in the form of a paragraph that explains why a conjecture for a given situation is true

Back

Proof

Front

a logical arguement in which each statement you make is supported by a statement that is accepted as true

Back

If-then-Statement

Front

a compound statement of the form "if a, then b" where A and B are statements

Back

Negation

Front

if a statement is represented by p, then not p is the negation of the statement

Back

Converse

Front

the statement formed by exchanging the hypothesis and conclusion of a conditional statement

Back

Deductive Reasoning

Front

a system of reasoning that uses facts, rules, definitions, or properties to reach a logical conclusion

Back

Axiom

Front

statement that describes a fundemental relationship between the basic terms of geometry

Back

Conjecture

Front

an educated guess based on know information

Back

Formal Proof

Front

contains statements and reasons organized in two collumns

Back

Related Conditionals

Front

statements such as the converse, inverse, and contrapositive that are based on a given conditional statements

Back

Conculsion

Front

in a conditional staement, the statement that immidiately follows the word then

Back

Deductive Arguement

Front

a proof formed by a group of algebraic steps used to solve a problem

Back

Law of Syllogism

Front

if p=q and q=r are true conditionals then p=r is also true

Back

Law of Detachment

Front

if p=q is a true conditional and p is ture, then q is also true

Back

Postulate

Front

a statement that describes a fundemental relationship between the basic terms of geometry, postulates are accepted as true without proof

Back

Informal Proof

Front

write a paragraph to explain why a conjecture for a given situation is true

Back

Logically Equivalent

Front

statements that have the same truth values

Back

Contrapositive

Front

the statement formed by negating both the hypothesis and conclusion of the converse of a conditional statement

Back

Compound Statement

Front

a staement formed by joining two or more statements

Back

Inverse

Front

the statement formed by negating both the hypothesis and conclusion of a conditional statement

Back

Theorem

Front

a statement or conjecture that can be proven true by undefined terms, definitions, and postulates

Back

Conjuction

Front

a compound statement formed by joing two or more statements with the word and

Back

Inductive Reasoning

Front

Reasoning that uses a number of specific examples to arrive at a plausible generalization or prediction conclusions arrived at by inductive reasoning lack the logical certainty of those arrived at by deductive reasoning

Back

Statement

Front

any sentence that is either true or false, but not both

Back

Biconditional

Front

the conjuction of a conditional statement and its converse

Back

Two Column

Front

a formal proof that contains statements and reasons organization two columns step is called a statement, and the properties that justify each step are called reasons

Back

Truth Value

Front

the truth or falsity of a statement

Back

Conditional Statement

Front

a statement that can be written in if then format

Back