Scholastic Mathematics: It cannot be called science
In general, scholastic mathematics can be divided into theoretical-abstract components that study quantity, structure, space, and transformation models. These components are arithmetic, algebra, geometry and mathematical analysis. Scholastic mathematics can also be called school mathematics. Scholastic mathematics, that is, mathematics taught and studied in schools, colleges, and universities, is not a science. It is a theory based on ideal rather than real assumptions. School mathematics provides mathematical algorithms that can be used to perform calculations. It is not a science at all, but only a method of calculation. Scholastic mathematics is the mathematics taught and studied in schools, colleges and universities. It can therefore also be called school mathematics. School mathematics is not a science. It is a theory based on ideal rather than real assumptions. School mathematics provides mathematical algorithms that can be used to perform calculations. It is not a science at all, but only a method of calculation.
School mathematics can even be considered a primitive theory, considering that it is based on only three elements: 0, 1 and the arithmetic operation called addition. Moreover, these three elements are fictitious. In the following, I will explain and prove this statement.
All digits and numbers of the decimal system can be expressed with the help of only two digits, 0 and 1. All mathematical operations can be reduced to the arithmetic operation of addition. The decimal system of school mathematics uses exactly ten digits: 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9. These digits have different values, but only two of them are really relevant, namely the digits 0 and 1, because all other digits and numbers can be expressed by the basic digits 0 and 1. The mathematical system that uses only the digits 0 and 1 to express the other digits is called the binary system. Here is an example where decimals can only be expressed by two digits, that is, only by 0 and 1.
0 = 0 0 0 0
1 = 0 0 0 1
2 = 0 0 1 0
3 = 0 0 1 1
4 = 0 1 0 0
etc.
The binary numbers can be converted to decimal numbers in the following way:
(2^n = 2 to the nth)
0 = 0 0 0 0 = 0 + 0 + 0 + 0 = 0
1 = 0 0 0 1 = 0 + 0 + 0 + 2^0 = 1
2 = 0 0 1 0 = 0 + 0 + 2^1 + 0 = 2
3 = 0 0 1 1 = 0 + 0 + 2^1 + 1 = 3
4 = 0 1 0 0 = 0 + 2^2 + 0 + 0 = 4
5 = 0 1 0 1 = 0 + 2^2 + 0 + 1 = 5
6 = 0 1 1 0 = 0 + 2^2+ 2^1 + 0 = 6
etc.
As can be seen, the relevant digits on which school mathematics is based are 0 and 1. The decimal system was introduced into school mathematics only because it makes arithmetic easier. Humans, due to the fact that they have ten fingers on their hands, but not only for this reason, can use a decimal system much easier than a binary one. Consequently, only two digits are used in school mathematics: 0 and 1.
All mathematical operations, i.e. addition, subtraction, multiplication, division, as well as the mathematical operations in higher mathematics derived from the above arithmetic operations, such as: exponentiation, square root extraction, differential and integral calculus, calculation of the limit, matrix calculus, etc., can be reduced to a single arithmetic operation, that of addition. Here are examples that show that all mathematical operations are in fact additions.
Subtraction is actually an addition with negative numbers.
Example: The following subtraction: „2 - 1 = 1” is in fact an addition of the digit 2 with the negative digit „-1” and can therefore be written as an addition in the following form: „2 + (-1) = 1”. Consequently, subtraction is in fact the same as addition.
Multiplication is also an addition.
Example: The following multiplication: 2 x 3 = 6 is in fact the repeated addition of the number 2. The number 3 expresses how many times the addition of the number 2 is repeated. Therefore, this multiplication can be written as addition in the following form: 2 + 2 + 2 = 6. Therefore, multiplication is in fact the same as addition.
Division is also an addition.
Example: The following division: 20 : 4 = 5 can be written as an addition with negative numbers in the following form: 20 + (- 4 )+ (- 4) + (- 4) + (- 4) + (- 4) = 0. The result of the division 20 : 4 = 5 is found by counting how many times -4 must be added to get a remainder equal to zero. In this example, -4 was added five times. So the result of the above division is the number 5.
All digits and numbers in school mathematics can be reduced to two digits: 0 and 1. All their mathematical operations can be reduced to the arithmetic operation called addition. Consequently, school mathematics really only juggles three elements: the numbers 0 and 1 and the arithmetic operation of addition. Digits and numbers are abstract concepts that exist only in the human psyche. They are fictions. The arithmetic operation of addition is also a fiction, because it cannot be applied in the real world, because you can only add two identical things. In the material universe, however, no two things are identical, so addition cannot be applied in the real world. In other words, one tree plus one tree does not make two trees, because no two trees are identical in nature. The school mathematics offers three fictitious elements. With only three elements, which are fictitious on top of it, one cannot describe the reality. The results obtained with the school mathematics are correct only if two conditions were fulfilled with the calculations. These conditions are the following
1. calculations must start from correct basic assumptions.
2. calculations must be correct.
In today's society, many mathematical results presented in theories, statistics, etc. are obtained by correct calculations, but starting from false premises. These results are wrong. The mathematically correct results of school mathematics are always inconsistent. I suppose one counts all trees in forest X and arrives at a result amounting to 1,000 trees. This result is correct, but also inconsistent. The first reason why this result is inconsistent is that you only know the number of trees, but you don't even know which tree species exist in this forest. The second reason why this result is inconsistent is that after a certain time the number of trees may decrease due to natural or man-made triggers. In this situation, for example, only 800 trees could remain, and in this case the result of the count is no longer correct. Accordingly: The school mathematics has only three fictitious elements. The mathematically correct results school mathematics are always inconsistent. School mathematics cannot be a science. It can be called a method of calculation.
The universe is fractal. Therefore the reality can be described with the fractal mathematics, but not with the school mathematics. For this reason only the fractal mathematics and in no case the school mathematics can be called science.
Author: Mihail Ispan