What is the name for an object that cannot be added to?

  • Thread starter Thread starter Pjpic
  • Start date Start date
  • Tags Tags
    Ordinal Set
Click For Summary
The discussion centers on identifying a term for objects that cannot be added to, using a circle as a primary example. It is noted that a circle is defined by having 360 degrees, and exceeding this measurement alters its fundamental nature. However, some participants argue that a circle does not inherently "have" 360 degrees, as angles can exceed this measurement without losing their classification. The conversation highlights the ambiguity in defining such objects and suggests that there may not be a specific name for this concept. Ultimately, the topic raises questions about the nature of mathematical definitions and boundaries.
Pjpic
Messages
235
Reaction score
1
What is the name for an object that cannot be added to (for example, a circle can only have 360 degrees; any more degrees and it is no longer merely a circle)?
 
Mathematics news on Phys.org
Pjpic said:
What is the name for an object that cannot be added to (for example, a circle can only have 360 degrees; any more degrees and it is no longer merely a circle)?
I don't think there is a name for this concept.

In your example, a circle doesn't "have" 360 degrees. The measure of a central angle that encompasses the entire circle is 360 degrees, but we can talk about angles of more than 360 degrees.
 

Thread 'Area of Overlapping Squares'

Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?
View full post »

Similar threads

Undergrad Normalized Angular Rotation/Position Equations?
  • · Replies 3 ·
Replies
3
Views
2K
Undergrad Equation to graph a sine wave that acts like a point on a unit circle
  • · Replies 8 ·
Replies
8
Views
2K
High School Graphing arccosine: What if we use different domains?
  • · Replies 7 ·
Replies
7
Views
2K
High School Mass estimate only through mass rate of change
  • · Replies 4 ·
Replies
4
Views
2K
High School Understanding A Middle Ordinate In Terms Of Geometry
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad Solving Ordinal Arithmetic: X Countably Compact but Not Compact
  • · Replies 5 ·
Replies
5
Views
2K
Undergrad Dimension of an Angle: Clarifying the SI Standard
  • · Replies 1 ·
Replies
1
Views
2K
Undergrad Prove that the geometric mean is always the same
  • · Replies 2 ·
Replies
2
Views
2K
Why are circles infinitely smooth if they have degrees?
  • · Replies 6 ·
Replies
6
Views
2K
High School Is everything in math either an axiom or a theorem?
  • · Replies 72 ·
3
Replies
72
Views
8K