The second set has nothing in it and is considered as a null set or a set having no value. Now, set C, even though zero does not have a value, it is still considered as an element in this case and the set has a value. Zero is also considered as having something as it can provide value to a number in the above case of 2, 20, , which is not possible with nothing. However, nothing cannot be added or subtracted from any number, giving it no value.
The value of zero is also shown in any number raised to power of 0 has a value of 1. Zero also plays in important part in the programming language that is used by computers these days. The binary system is completely made up of 0s and 1s, which is the primary language used to program computer systems.
Difference between Zero and Nothing. Nothing is the absence of something or a void. Examples: "The temperature outside is ten degrees below zero. Examples: "The zeroes of a polynomial are its roots by the fundamental theorem of algebra.
Examples: "Since a commutative zero is the inverse of any additive identity, it must be unique when it exists. Examples: "They rudely treated him like a zero. Examples: "The takeovers were financed by issuing zeroes. Examples: "She showed zero respect. Examples: "The stem of "kobieta" with the zero ending is "kobiet". By AD, Ptolemy the Greek astronomer used the Babylonian number system, but with zero represented by a circle.
In later ages, Hindus invented zero, and it came into use as a number. There is indeed difference between zero and nothing. It is neither positive nor negative. Nothing is the absence of something. Therefore, it does not have any value. Let us consider this sentence. Hence, someone can argue that zero and nothing have the same meaning.
Set is a collection of well defined objects. The two sets A and B are not equal. In addition, the number zero plays a fundamental role in structures like the additive group of integers:. Zero was not a number to the Greeks, since to them number was quantity, magnitude, or ratio, and the notion of e. A line of no length is not a line, by definition. To them number always meant number of something, and since nothing is not something, zero is not a number.
The fact that we treat zero as a number demonstrates that we no longer tie our concept of number to quantity etc. So zero does not mean "nothing", it's more of a structural concept, marking the point of symmetry between positive and negative.
Of course you cannot have a negative quantity either, but you can have a deficit, and in fact our concept of zero originates with the people Arabs or Persians working in Arabic who invented algebra, which in its original form was mostly about balancing accounts, credits and debits. You need a zero concept to do that.
Space is not nothing. It has properties and can be described in terms of physical law. There cannot be properties associated with nothing. Zero is a number.
It tells you the quantity or value of some amount or property. Example: the net charge of an atom is zero. It conveys information about whatever you are speaking about whereas nothing as its name implies conveys nothing.
In a setting where both are meaningful, the difference is pretty much just grammar. If I ask you how many apples you have on your desk, you have two choices:. Natural language has developed in a way that prefers to use different language to distinguish between "zero" and "more than zero" as well as "less than zero". This is probably even a very good idea for the things natural language needs to be good at, although it gets in the way of trying to develop a concept that unifies the entire range of possibilities.
But from a philosophical perspective I am inclined to remember the saying "Space is the greatest thing as it contains all things" -- Thales.
That is, with nothing we able to experience something. That is not to say something comes from nothing, but nothing and something are the only absolutes, Think Epicurus.
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