What Are Numbers Greater Than Zero Called?

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Discussion Overview

The discussion revolves around the terminology used to describe numbers greater than zero, exploring different classifications such as integers and real numbers. The scope includes conceptual clarification and mathematical reasoning.

Discussion Character

  • Conceptual clarification, Debate/contested, Mathematical reasoning

Main Points Raised

  • One participant inquires if there is a specific name for all numbers greater than zero.
  • Another participant suggests that if referring to integers greater than zero, these are known as natural numbers, while noting that real numbers greater than zero do not have a special name.
  • A different viewpoint introduces the term "positive reals" as an adjective to describe real numbers greater than zero.
  • Some participants mention that the classification of natural numbers may vary based on convention, with a suggestion that including 0 as a natural number is becoming more standard.
  • Another participant offers the term "positive integers" as an alternative name for integers greater than zero.

Areas of Agreement / Disagreement

Participants express differing views on the classification of natural numbers and whether 0 should be included, indicating that multiple competing views remain in the discussion.

Contextual Notes

The discussion reflects varying conventions regarding the definition of natural numbers and the terminology for numbers greater than zero, highlighting the lack of consensus on these definitions.

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Is there a name for all numbers greater than zero?
 
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You need to be more specific. If you mean the integers greater than zero, these are called the natural numbers. If you mean real numbers greater than zero, then no, there is no special name for them.
 
just the use of the adjective positive: "positve reals"
 
Mark44 said:
If you mean the integers greater than zero, these are called the natural numbers.
Whether or not the natural numbers contains 0 is a matter of convention.

My general impression is that the convention "0 is a natural number" is becoming standard.
 
You can also call them the "positive integers".
 

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