Convention vs. Someting that people agree about

shahar

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Are they the same thing? Are there differences between these two?
 
I see them as equivalent. We must have agreed upon conventions to meaningfully discuss anything. It you mean one thing, and I another with regards to a definition, we will get nowhere fast in a discussion.
 
Are they the same thing? Are there differences between these two?
The word "convention" is used in various ways, and you might be talking about various sets of people; but as we use the term in math, if the "people" you refer to are the mathematical community as a whole (rather than, say, you and me alone), then they mean essentially the same thing:

  • a rule, method, or practice established by usage; custom: In Social Studies, the second graders learned the convention of showing north at the top of a map.
  • general agreement or consent; accepted usage, especially as a standard of procedure: Certain uses of the comma have become established by convention.
What sort of difference are you expecting?
 
I was thinking that axioms has the convention that they can't aasume to be proven but I was thinking that something that people can debate on it like using non-Euclidan geometry instead geometry. So what people agree to use (different geometry) against it is not proven and everybody can except it - a Convetion.
 
I was thinking that axioms has the convention that they can't aasume to be proven
I'm sorry, but I can't make out what you're trying to say here...?

As for axioms themselves, they are basic rules; axioms are the starting point for a mathematical system. They are the things that are *assumed* to be true, and then other things are built with and upon them.

but I was thinking that something that people can debate on it like using non-Euclidan geometry instead geometry.
I'm sorry, but on what basis have you concluded that non-Euclidean geometry is "debatable"? It's various forms are geometries, just like planar or spherical Euclidean geometries are geometries. They just start with different assumptions.

So what people agree to use (different geometry) against it is not proven and everybody can except it - a Convetion.
In my experience, a "convention" is more like an arbitrary rule (such as on which side of the street you drive in a given country) or an accepted practice or process (like using BODMAS to remember your order of operations) or a nicety (such as asking a person "How are you?" when you're really just starting a conversation).

Eliz.
 
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