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4.4 Conversion, Obversion, & Contraposition In this lecture, we will learn how to swap various components of the four kinds of categorical proposition around, and see how this swapping changes.

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the act of placing opposite or against, esp in contrast or antithesis. logic the derivation of the contrapositive of a given categorial proposition.

"If it is raining, then I wear my coat" — "If I don't wear my coat, then it isn't raining." The law of contraposition says that a conditional statement is true if, and only if, its contrapositive is true.

Translate this example to “classic” Law of Contrapositive form like this: If the Steelers win Sunday, then they win the division. The Steelers did not win the division. Therefore, they didn't win Sunday.

noun. con·​tra·​pos·​i·​tive ˌkän-trə-ˈpä-zə-tiv. -ˈpäz-tiv. : a proposition or theorem formed by contradicting both the subject and predicate or both the hypothesis and conclusion of a given proposition or theorem and interchanging them.

: a proposition or theorem formed by contradicting both the subject and predicate or both the hypothesis and conclusion of a given proposition or theorem and interchanging them. "if not-B then not-A " is the contrapositive of "if A then B "

In mathematics, proof by contrapositive, or proof by contraposition, is a rule of inference used in proofs, where one infers a conditional statement from its contrapositive. In other words, the conclusion "if A, then B" is inferred by constructing a proof of the claim "if not B, then not A" instead.

Contraposition: Performing an conversion on a proposition (i.e., swapping the subject with the predicate) and then replacing both the subject and the predicate terms with their complements.

The law of contrapositive states that the original statement is true if, and only if, the contrapositive is true. If the contrapositive is false, the original statement is false. Contrapositives are an example of conditional statements that may or may not depend on each other.

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© Copyright 1997-2025
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Form Packages
Adoption
Bankruptcy
Contractors
Divorce
Home Sales
Employment
Identity Theft
Incorporation
Landlord Tenant
Living Trust
Name Change
Personal Planning
Small Business
Wills & Estates
Packages A-Z
Form Categories
Affidavits
Bankruptcy
Bill of Sale
Corporate - LLC
Divorce
Employment
Identity Theft
Internet Technology
Landlord Tenant
Living Wills
Name Change
Power of Attorney
Real Estate
Small Estates
Wills
All Forms
Forms A-Z
Form Library
Customer Service
Terms of Service
DMCA Policy
About Us
Blog
Affiliates
Contact Us
Privacy Notice
Delete My Account
Site Map
All Forms
Search all Forms
Industries
Forms in Spanish
Localized Forms
Legal Guides
Real Estate Handbook
All Guides
Prepared for You
Notarize
Incorporation services
Our Customers
For Consumers
For Small Business
For Attorneys
Our Sites
US Legal Forms
USLegal
FormsPass
pdfFiller
signNow
airSlate workflows
DocHub
Instapage
Social Media
Call us now toll free:
1-877-389-0141
As seen in:
  • USA Today logo picture
  • CBC News logo picture
  • LA Times logo picture
  • The Washington Post logo picture
  • AP logo picture
  • Forbes logo picture
© Copyright 1997-2025
airSlate Legal Forms, Inc.
3720 Flowood Dr, Flowood, Mississippi 39232