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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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Follow the steps to complete the Contraposition form.

  1. Click the ‘Get Form’ button to access the Contraposition form and open it for editing.
  2. Begin with the first section of the form, where you will need to input the original proposition. Clearly write out the categorical statement you wish to work with, ensuring you denote the subject and predicate correctly.
  3. Next, identify whether your proposition is an ‘A’, ‘E’, ‘I’, or ‘O’ type. This classification will assist you in determining the appropriate transformations that need to take place during the contraposition process.
  4. Then, perform the first step of contraposition, which includes converting the proposition. This involves swapping the subject and predicate of your original statement.
  5. Once the conversion is complete, replace both the subject and predicate terms with their respective complements. Be meticulous in ensuring that these complements accurately reflect the non-membership of the original classes.
  6. After completing the contraposition, review the resulting proposition for accuracy. Ensure that it maintains logical consistency with the original statement.
  7. Finally, once you are satisfied with your completed form, you may save the changes, download, print, or share the document as needed.

Begin filling out your Contraposition form online today to efficiently manage your documentation.

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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
airSlate Legal Forms, Inc.
3720 Flowood Dr, Flowood, Mississippi 39232
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
Privacy Notice
Legal Hub
Content Takedown Policy
Bug Bounty Program
About Us
Blog
Affiliates
Contact Us
Delete My Account
Site Map
Industries
Forms in Spanish
Localized Forms
State-specific Forms
Forms Kit
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 WorkFlow
DocHub
Instapage
Social Media
Call us now toll free:
+1 833 426 79 33
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