Variation of the Liar's Paradox

  • Context: Undergrad 
  • Thread starter Thread starter rmberwin
  • Start date Start date
  • Tags Tags
    Probability Statistics
Click For Summary

Discussion Overview

The discussion revolves around a variation of the Liar's Paradox, specifically the statement "Statistics are wrong 90% of the time." Participants explore the implications of this statement and its relationship to truth and probability, considering other variations like "Statistics are wrong 50% of the time." The scope includes conceptual analysis and philosophical reasoning.

Discussion Character

  • Exploratory, Conceptual clarification, Debate/contested

Main Points Raised

  • Some participants suggest that the statement "Statistics are wrong 90% of the time" appears self-refuting, yet they seek insights on its implications.
  • Others express confusion about the statement, indicating that it does not make sense to them.
  • One participant argues that any certainty less than 100% removes the paradox, allowing for the possibility that the statement could be true.
  • Another participant counters that if the statement is true, it would likely be false (90% of the time), thus presenting a paradox.
  • Some participants clarify that "probably" does not equate to "definitely," suggesting that this distinction is why it may not constitute a paradox.
  • Another viewpoint posits that if the statement is true, it would belong to the 10% of true statements, which negates the paradox.

Areas of Agreement / Disagreement

Participants do not reach a consensus; multiple competing views remain regarding the nature of the paradox and the implications of the statements discussed.

Contextual Notes

Participants express varying interpretations of the statements and their implications, with some relying on definitions of probability and truth that remain unresolved in the discussion.

rmberwin
Messages
13
Reaction score
1
A variation of the Liar's Paradox occurred to me: "Statistics are wrong 90% of the time". This statement seems to refute itself, but does so in a less straightforward way. I would appreciate any insights! And what about, "Statistics are wrong 50% of the time"? (Even odds.)
 
Last edited:
Physics news on Phys.org
rmberwin said:
A variation of the Liar's Paradox occurred to me: "Statistics are wrong 90% of the time". This statement seems to refutes itself, but does so in a less straightforward way. I would appreciate any insights! And what about the statement, "Statistics are wrong 50% of the time"? (Even odds.)
This makes utterly no sense to me.
 
rmberwin said:
A variation of the Liar's Paradox occurred to me: "Statistics are wrong 90% of the time". This statement seems to refutes itself, but does so in a less straightforward way. I would appreciate any insights! And what about the statement, "Statistics are wrong 50% of the time"? (Even odds.)
Anything less than a certainty of 100% removes the paradox. It leaves the possibility that the statement is true.
 
FactChecker said:
Anything less than a certainty of 100% removes the paradox. It leaves the possibility that the statement is true.
But if the statement is true, then it is probably (90%) false. That is the paradox.
 
  • Skeptical
Likes   Reactions: PeroK
rmberwin said:
But if the statement is true, then it is probably (90%) false. That is the paradox.
"Probably" is not the same as definitely. That is why it is not a paradox.
I could say that I am 26,823 days old and probably be wrong. But maybe not.
 
rmberwin said:
But if the statement is true, then it is probably (90%) false. That is the paradox.
If the statement is true, then it is one of the 10% of true statements. No paradox.
 
  • Like
Likes   Reactions: FactChecker

Similar threads

  • · Replies 4 ·
Replies
4
Views
3K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 29 ·
Replies
29
Views
3K
  • · Replies 13 ·
Replies
13
Views
3K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 57 ·
2
Replies
57
Views
7K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 9 ·
Replies
9
Views
2K