Numbers & Counting Learning|1234 Number Names|1 To 10 Numbers Song for Kids| #numbers #kids #cartoon

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Number
A number is a count or measurement that is really an idea in our minds.
We write or talk about numbers using numerals such as "4" or "four".
But we could also hold up 4 fingers or tap the ground 4 times.
These are all different ways of referring to the same number.
There are also special numbers (like π (Pi)) that can't be written exactly but are still numbers because we know the idea behind them.
Numeral
A numeral is a symbol or name that stands for a number.
Examples: 3, 49 and twelve are all numerals.
So, the number is an idea, the numeral is how we write it.

Digit
A digit is a single symbol used to make numerals.
0, 1, 2, 3, 4, 5, 6, 7, 8 and 9 are the ten digits we use in everyday numerals.

Example: The numeral 153 is made up of 3 digits ("1", "5" and "3").
Example: The numeral 46 is made up of 2 digits ("4", and "6").
Example: The numeral 9 is made up of 1 digit ("9"). So, a single digit can also be a numeral
We can use other symbols too, for example hexadecimal also uses some letters!

A number is an arithmetical property assigned to a symbol; consistently representative of the variable distance between logical constructs.

The term "number" can refer to various concepts depending on the context, but generally, it represents a mathematical object used to count, measure, or label. Here are some key aspects of numbers:

Types of Numbers:
- Natural Numbers: The set of positive integers (1, 2, 3, ...).
- Whole Numbers: Natural numbers including zero (0, 1, 2, 3, ...).
- Integers: Whole numbers that can be positive, negative, or zero (..., -2, -1, 0, 1, 2, ...).
- Rational Numbers: Numbers that can be expressed as a fraction of two integers (e.g., 1/2, -3/4).
- Irrational Numbers: Numbers that cannot be expressed as a simple fraction (e.g., √2, π).
- Real Numbers: All rational and irrational numbers.
- Complex Numbers: Numbers that include a real part and an imaginary part (e.g., 3 + 4i).
Uses of Numbers:
- Counting: Numbers help quantify objects (e.g., "There are 5 apples").
- Ordering: Numbers can indicate position or rank (e.g., "She finished 1st in the race").
- Measurement: Numbers are used in various fields to quantify dimensions, weight, temperature, etc.
Mathematical Operations: Numbers can be manipulated through various operations such as addition, subtraction, multiplication, and division.
Symbolism: Numbers are often represented using symbols (like 1, 2, 3) and can also be expressed in different numeral systems (like binary, decimal, hexadecimal).
In summary, numbers are foundational elements in mathematics that allow us to describe and analyze quantities, relationships, and patterns in various contexts.

A number is an arithmetical property assigned to a symbol; consistently representative of the variable distance between logical constructs.

Fields are analytic objects whereby operations of addition,subtraction,multiplication and division may be performed.
Field extensions define which analytic objects may perform these functions and how.
Analytic objects are given field extensions such that they behave as if they were natural, or counting numbers.
In a natural number field; the number 1 is an idea. An idea that adding, subtracting, dividing or multiplying 1 can only be achieved if I have another idea on approach to infinity in either direction that will consistently work with any idea you could ever have of what forms 1 can take without producing an answer that needs a real number system.
In a real number field; the number 1 is an idea that says answers are allowed in the gaps between natural numbers and behave the same way the natural numbers do; with the exception that real numbers can sometimes be added, divided, multiplied or subtracted to give whole number values so long as this exception is universal enough to make that idea a consistent rule.
So if I have a field with natural numbers 0 on approach to the limit of infinity; I’m saying that I have a framework whereby; anything you want to call an analytic object can be added, subtracted, multiplied or divided in such a way that any object these actions are performed on in this framework will consistently result in the same answer all other objects in this framework give no matter what you do.

Periodicity is what determines natural numbers 0 through 9. Addition, multiplication, subtraction or division can only give you answers with enough of a gap between all the other possible combinations of answers that the only possible answer is a whole number that has a whole number gap between it and all the others.
Numbers are then essentially ideas that are consistent, periodic gaps. All ideas must be in units of the corresponding gap between all other answers of every question or answer of it’s kind. Sort of like axons, neurons and their associated pathways.
While it may seem a little far fetched; this is also the very definition of consciousness itself.
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