I Does Defining ##g(y)## as ##h(y)^n## Validate the Statement?

  • Thread starter Thread starter Vibhukanishk
  • Start date Start date
  • Tags Tags
    Logic
Click For Summary
The discussion centers on the validity of defining g(y) as h(y)^n in relation to a specific statement. Participants argue that the logic supporting this definition lacks justification and is insufficiently detailed. The absence of a quantifier on h(y) is highlighted as a critical omission. It is emphasized that while defining g(y) in this manner makes the statement trivially true, it does not constitute a proof. Overall, the consensus is that the assertion does not validate the statement due to its reliance on definitions rather than logical reasoning.
Vibhukanishk
Messages
2
Reaction score
0
What to say about this?
1659958487965.png

Is the logic used in the solution supports the statement?
 
Physics news on Phys.org
No. You just asserted that ##g(y)=h(y)^n## with no justification.
 
There is quite a bit of information missing. E.g., there is no quantifier on ##h(y)## in the initial statement.
 
TeethWhitener said:
No. You just asserted that ##g(y)=h(y)^n## with no justification.
IMG_20220808_182840.jpg
 
If you define ##g(y)## as ##h(y)^n##, then of course it's true, but there's also nothing to prove; it's all definitions.
 
There is a nice little variation of the problem. The host says, after you have chosen the door, that you can change your guess, but to sweeten the deal, he says you can choose the two other doors, if you wish. This proposition is a no brainer, however before you are quick enough to accept it, the host opens one of the two doors and it is empty. In this version you really want to change your pick, but at the same time ask yourself is the host impartial and does that change anything. The host...

Similar threads

Replies
22
Views
3K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 10 ·
Replies
10
Views
2K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 4 ·
Replies
4
Views
522
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 3 ·
Replies
3
Views
1K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 17 ·
Replies
17
Views
3K
  • · Replies 7 ·
Replies
7
Views
2K