Can a Circle have an infinite diameter?

[IWantGod]

If the circumference is infinite, there can be no curvature at all, else it would close.

Again, the result is a straight line.

If it becomes a straight line its no-longer a circle by definition correct?

 

[IWantGod]

Defining or identifying something as a circle requires that thing to be of finite dimensions.

An infinite thing cannot exist in reality.

In an imaginary world, you can have an infinite sized anything you want.

 

[IWantGod]

There is no such thing as an infinite circumference. It cannot satisfy the equation of a circle.

A circumference is by its nature, closed, as a triangle, by definition, is a closed, three-sided polygon.

 

[IWantGod]

An infinite diameter does not have a centre. A circle does have a centre. Therefore a Circle cannot have an infinite diameter.

 

[IWantGod]

The explosion would have to be infinitely powerful of course.

This is a Potential infinite?

 

[psalm90]

Can a Circle have an infinite diameter?

You show me a circle, and I’ll show you a finite diameter. The fallacy is built into the question.

 

[Vic_Taltrees_UK]

A circle by definition is finite. As soon as you have an infinite diameter you lose that which makes it a circle in the first place. The center of a circle always has to be a finite distance away from its circumference…

It’s a circle, Jim, but not as we know it.

I agree however that it is legitimate to insist on the application in all cases of all the criteria.

Hence it would be at best “circle like” or a circle would be “like infinity” in some small ways.

More poetry than logic as it mostly ought to be understood.