Undergrad 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.
 
The standard _A " operator" maps a Null Hypothesis Ho into a decision set { Do not reject:=1 and reject :=0}. In this sense ( HA)_A , makes no sense. Since H0, HA aren't exhaustive, can we find an alternative operator, _A' , so that ( H_A)_A' makes sense? Isn't Pearson Neyman related to this? Hope I'm making sense. Edit: I was motivated by a superficial similarity of the idea with double transposition of matrices M, with ## (M^{T})^{T}=M##, and just wanted to see if it made sense to talk...

Similar threads

  • · Replies 22 ·
Replies
22
Views
3K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 3 ·
Replies
3
Views
1K
  • · Replies 40 ·
2
Replies
40
Views
8K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 17 ·
Replies
17
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
Replies
2
Views
2K
  • · Replies 11 ·
Replies
11
Views
2K
  • · Replies 26 ·
Replies
26
Views
841