Questions vs Answers: Is There an Unequal Balance?

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Discussion Overview

The discussion revolves around the relationship between questions and answers within the context of information theory. Participants explore whether there are inherently more questions than answers, considering various scenarios and examples that illustrate the complexity of this relationship.

Discussion Character

  • Debate/contested
  • Conceptual clarification
  • Exploratory

Main Points Raised

  • Some participants suggest that for every answer, there are multiple possible questions, leading to the hypothesis that there may be more questions than answers.
  • Others argue that if two questions have the same answer, they should not be counted as distinct, questioning the validity of counting questions and answers separately.
  • A viewpoint is presented that many-to-many relationships between questions and answers are more natural than one-to-one relationships, implying a preference for a more complex understanding of the interactions.
  • Participants discuss the context-dependence of questions and answers, suggesting that the meaning of expressions can change based on the situation, which complicates counting them.
  • One participant posits that some questions can have an infinite number of answers, leading to the conclusion that both questions and answers could be considered equal in quantity.
  • Another perspective emphasizes the importance of formulating clear questions to achieve unambiguous answers, suggesting that a correctly stated question should lead to a single answer.

Areas of Agreement / Disagreement

Participants express differing views on the relationship between questions and answers, with no consensus reached. Some believe there are more questions, while others argue for the equality or complexity of the relationship.

Contextual Notes

The discussion includes assumptions about the nature of questions and answers, such as the implications of context and the definitions of what constitutes a distinct question or answer. These factors remain unresolved.

Max cohen
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Our intuition says that in the entire informationfield there should be an equal amount of questions and answers. But...for every answer there are multiple possible questions although it is not possible for one question to have multiple answers.

So...then are there indeed more questions than answers?
 
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Max cohen said:
Our intuition says that in the entire informationfield there should be an equal amount of questions and answers. But...for every answer there are multiple possible questions although it is not possible for one question to have multiple answers.

So...then are there indeed more questions than answers?
If two questions have the same answer, why would you count them as different questions? Or why would you say every question can have only one answer?
For instance,
Q1: What is today?
Q2: What is the day after yesterday?
Q3: What day of the week begins with "M"?
A1: Monday.
A2: The day before Tuesday.
A3: Today.
How are you counting Qs and As?
 
Max cohen said:
Our intuition says that in the entire informationfield there should be an equal amount of questions and answers.

Speak for yourself!
I think that many-many relationships are more natural than 1-1 relationships, because a 1-1 relationship is a subset.

To me, a many-many relationship is the default (intuitive) position, unless evidence suggests otherwise.
 
honestrosewater said:
If two questions have the same answer, why would you count them as different questions? Or why would you say every question can have only one answer?
For instance,
Q1: What is today?
Q2: What is the day after yesterday?
Q3: What day of the week begins with "M"?
A1: Monday.
A2: The day before Tuesday.
A3: Today.
How are you counting Qs and As?
The way I see it answers A1, A2 and A3 are really different formulations of the same answer. Namely, that thing that is defined by 'what today is'. There's just multiple ways of expressing it.

On the other hand, this would mean that multiple questions that result in the same answers are really the same question too. So...maybe it might be that there are an equal amount of questions and answers after all :rolleyes:
 
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Q1: What is today?
Q2: What is the day after yesterday?
Q3: What day of the week begins with "M"?
A1: Monday.
A2: The day before Tuesday.
A3: Today.
You could say Q1, 2, A3 always refer to the same thing: Today. A1, 2, Q3 also always refer to the same thing: Monday. But when today is Monday, do Q1, 2, 3, A1, 2, 3 all refer to the same thing? Does "Today" refer to "Monday" on Monday, "Tuesday" on Tuesday, etc. Or do "Today" and "Monday" always refer to different things?
Some expressions (questions and answers) always refer to the same thing, and some expressions refer to different things depending on the context. Also, groups of expressions sometimes refer to the same thing, and sometimes don't. And so on. So again, it depends on how you count them. Remind you of constants, variables, equality, etc.? ;)
 
Max cohen said:
Our intuition says that in the entire informationfield there should be an equal amount of questions and answers. But...for every answer there are multiple possible questions although it is not possible for one question to have multiple answers.

So...then are there indeed more questions than answers?

A correclty settled question bursts the science cutting-edge. you may ask too many questions, receive lots of answers, but just remain a dusty piece of meat. but just think out of the box - only clear, open-minded person can ask a good question, and find a right answer. the goal of science is to face the problem, solve it and use the solution. on the way there are lots of questions, and if a question is stated correctly it has one and only one unambigous answer.
got it?
 
Max cohen said:
although it is not possible for one question to have multiple answers.

Some questions have an infinite number of answers. Where is a place to go? Excuse me, sir, where might I find a molecule? Even if the universe isn't infinitly large, I can narrow any place infinitly small, to provide an infinite number of answers. What is the point in space 2 cm to the left and 14 cm up from that? How about 17 cm. up. and 4 feet 3 inches behind it? etc. etc. proving there is also an infinite number of follow-up questions.

Since there are an infinite number of questions and an infinite number of answers, the quantity of both sets is equal.

Some questions have a lot of answers. Other questions don't have any answers. If you're still not convinced that there are an infinite number of questions/answers go here:
https://www.physicsforums.com/showthread.php?t=68
 
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