How to prove 1 1 2 in high numbers, how to prove 1 1 in high numbers

Counter-proof, 1+1 is not equal to 2, can this be proved wrong?

This is the knowledge of algebra, 1 is the unit element, so 1*a=a*1=a, 1*1=1

Piano's axioms.

Piano's axioms, also known as Piano's axioms, are a system of five axioms about natural numbers proposed by the mathematician Piano (Piarot). According to these five axioms, a first-order arithmetic system, also known as the Piano arithmetic system, can be established. These five axioms of Piano are described in a non-formal way as follows:

1 is a natural number; For every definite natural number a, there is a definite successor a' ，a'It is also a natural number (the successor of a number is the number immediately following this number, e.g., the successor of 1 is 2, the successor of 2 is 3, and so on); If b and c are both successors of the natural number a, then b=c; 1 is not a successor to any natural number; Any proposition about a natural number can be proved to be true to n if it is proved to be true to the natural number 1 and assumed to be true for the natural number n'It is also true, then, that the proposition is true for all natural numbers. (This axiom is also called the inductive postulate, which ensures the correctness of mathematical induction) Note: The inductive postulate can be used to prove that 1 is the only natural number that is not a successor, because if the proposition is "n=1 or n is the successor of other numbers", then the condition of the inductive common assumption is satisfied.

If 0 is also considered a natural number, then the axiom 1 is replaced by 0.

A more formal definition in this paragraph.

A Dedekin-Piano structure is a triplet (x, x, f) that satisfies the following conditions: 1. x is a set, x is an element in x, and f is the mapping of x to itself; 2. x is not in the range of f; 3. F is a single shot. 4. If a is a subset of x and satisfies that x belongs to a, and if a belongs to a, then f(a) also belongs to a, then a=x.

This structure is consistent with the basic assumptions about the set of natural numbers derived from Piaro's axioms: 1. p (set of natural numbers) is not an empty set; 2. One-to-one mapping of the direct successor elements of A->A in P to P; 3. The set of subsequent element mapping images is a true subset of p; 4. If any subset of p contains both elements that are not successor elements and successor elements that contain each element in the subset, then this subset coincides with p. It can be used to prove many common theorems that are not known to them!

For example, the fourth hypothesis is the theoretical basis for the very widely used first principles of induction (mathematical induction).

This is the theoretical basis of the addition of numbers: of course this is based on people's experience 1+1=2 1+2=3....Later, a theory was established in order to strengthen the theoretical foundation, which became the theoretical basis of the addition of natural numbers.

This is how hypothetical mathematics develops, mathematics is good for life, science and technology develop, so it needs some established principles to be used, so this established principle is not provable, but it is a theory developed because it is convenient for mathematical calculations. Mathematical calculation is the embodiment of human thinking activity, and a concrete thing to prove an uncatchable mind, that is, to smash a stone into the void, how can it be smashed.

Do an addition experiment: take out an apple and set it there, then take out another apple and put it there, and count how many apples it is. Take out a chopstick and put it there, take out another chopstick, and put it there, and count how many chopsticks it is.

Summarize all the experimental results and conclude that 1+1=2

According to the knowledge of junior high and high school.

1 3 = cycle).

1 3 * 6 = 2 but loop) * 6 = loop).

I don't know if this is the result you want.

What is 1+1? Everyone will blurt out that it is 2; But in the world of science, there really is a situation where 1+1 is less than 2; Today, I will use a scientific experiment to teach you to prove that 1+1 is not equal to 2.