Converse, inverse and contrapositive

AI Thread Summary
To derive the converse, inverse, and contrapositive of the statement "All engineers have practical skills or are good at mathematics," it must first be reformulated into an "if... then..." structure. The correct formulation is "If you are an engineer, then you have practical skills or are good at mathematics." Understanding the hypothesis and conclusion is essential for generating the converse, inverse, and contrapositive. Without this structure, the discussion on these logical implications cannot proceed effectively. Clarity in the initial statement is crucial for accurate logical reasoning.
phydis
Messages
28
Reaction score
0
"All engineers have practical skills or are good at mathematics"

to write down the converse, inverse and contrapositive for the above statement, I have to find the hypothesis and the conclusion of the statement. but how? is there any other way to write converse, inverse and contrapositive without thinking of hypothesis and conclusion ?? :confused:
 
Physics news on Phys.org
The terms "converse", "inverse" and "contrapositive" refer to implications. That is: statements of the form "If ... then ...".

So your first task is to write it as an "if ... then ..." statement. Otherwise, the question can't be solved.
 
  • Like
Likes 1 person
"All engineers have practical skills or are good at mathematics"

How can I write this as an "if... then.." statement ?
 
If you're an engineer then ...
 
  • Like
Likes 1 person
I was reading documentation about the soundness and completeness of logic formal systems. Consider the following $$\vdash_S \phi$$ where ##S## is the proof-system making part the formal system and ##\phi## is a wff (well formed formula) of the formal language. Note the blank on left of the turnstile symbol ##\vdash_S##, as far as I can tell it actually represents the empty set. So what does it mean ? I guess it actually means ##\phi## is a theorem of the formal system, i.e. there is a...

Similar threads

Replies
5
Views
2K
Replies
9
Views
3K
Replies
4
Views
2K
Replies
5
Views
2K
Replies
7
Views
1K
Back
Top