Finding Converse and Contrapositive

  • Thread starter Thread starter ver_mathstats
  • Start date Start date
  • Tags Tags
    Contrapositive
Click For Summary

Homework Help Overview

The discussion revolves around finding the converse and contrapositive of a conditional statement in logic: "If n² is even, then n is even." Participants are exploring the definitions and relationships between these logical constructs.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to identify the converse and contrapositive of the given statement and seeks validation of their understanding. Some participants confirm the correctness of the original poster's attempts, while others suggest alternative phrasing using "odd."

Discussion Status

The discussion is ongoing, with some participants affirming the original poster's responses. There is a focus on ensuring clarity in the definitions of converse and contrapositive, as well as exploring different terminologies.

Contextual Notes

Participants express confusion regarding the terminology and the relationship between the terms "even" and "odd," indicating a need for further clarification on these concepts.

ver_mathstats
Messages
258
Reaction score
21

Homework Statement


Find the converse and contrapositive of the statement:

If n2 is even, then n is even.

Homework Equations

The Attempt at a Solution


Converse: If n is even, then n2 is even.

Contrapositive: If n is not even, then n2 is not even.

Can someone check these over for me to make sure I am doing them correctly?

Thank you.
 
Physics news on Phys.org
fresh_42 said:
This is correct. Here's a list of them:
https://en.wikipedia.org/wiki/Contraposition
which I had to use, since I am regularly confused if I have to match the words and their meaning.
Thank you for the list. I just wanted to make sure I am on the right track when it comes to converse and contrapositive.
 
ver_mathstats said:
Contrapositive: If n is not even, then n2 is not even.
You could also say "odd" in both places rather than "not even."
 
Mark44 said:
You could also say "odd" in both places rather than "not even."
Oh yes, that is very true.
 

Similar threads

  • · Replies 8 ·
Replies
8
Views
3K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 22 ·
Replies
22
Views
4K
  • · Replies 1 ·
Replies
1
Views
1K
  • · Replies 1 ·
Replies
1
Views
1K
  • · Replies 18 ·
Replies
18
Views
2K
  • · Replies 2 ·
Replies
2
Views
3K
  • · Replies 12 ·
Replies
12
Views
6K