Is Infinity a Number?

  • Thread starter Thread starter tahayassen
  • Start date Start date
  • Tags Tags
    Numbers
Click For Summary
The discussion centers on the concept of infinity and whether it can be treated as a number. Participants explore Cantor's demonstration that some infinities are indeed larger than others, particularly in terms of cardinality, while clarifying that the intervals [0, 1] and [0, 2] have the same cardinality despite differing lengths. The conversation highlights the confusion surrounding the use of infinity in mathematical operations, emphasizing that infinity cannot be treated like a finite number. Key points include the distinction between countably and uncountably infinite sets, with examples illustrating how cardinality is determined. Ultimately, the thread underscores the complexity of comparing infinite sets and the importance of precise definitions in mathematical discourse.
  • #31


I thank you all for your kind replies.
 

Similar threads

High School Dividing by infinity, exactly, finally!
  • · Replies 40 ·
2
Replies
40
Views
6K
High School Does Infinity Times Two Equal Infinity and Other Mathematical Paradoxes?
  • · Replies 7 ·
Replies
7
Views
3K
High School Is one out of infinity different from zero?
  • · Replies 31 ·
2
Replies
31
Views
3K
High School Arithmetic mean of an infinite number of points?
  • · Replies 20 ·
Replies
20
Views
3K
High School Does undefined always mean infinity?
  • · Replies 15 ·
Replies
15
Views
4K
High School Is Infinity a Prime Number: The Confusing Concept of Infinity Explained
  • · Replies 19 ·
Replies
19
Views
5K
MHB Evaluating Chosen Numbers in Quadratic Inequality
  • · Replies 7 ·
Replies
7
Views
2K
MHB Number Line & Intervals (Part 1)
  • · Replies 6 ·
Replies
6
Views
2K
Infinity question about known numbers?
  • · Replies 20 ·
Replies
20
Views
3K
Undergrad Expressing any given point on plane with one unique number
  • · Replies 4 ·
Replies
4
Views
2K