Propety is a very interesting word. It is the Greek word for power. The meaning of the term Propety is given by the dictionary meaning; ability or skill. So, in essence if you have the skill of multiplication, then you are eligible for Propety. This could be defined as; an individual who has the ability to multiply. Let’s examine this definition a little more closely.
In our definition above it states that an individual who has the power to multiply is capable of equality. This would also imply that if two individuals have the power to multiply, then they are also capable of equality. The next part of our definition would be the term associative property. This term associates the values of one person with that of another. Therefore, if one person has the power to multiply, then they are also equally qualified to stand for the same office, political position, class, etc. Also, this definition of equality also implies that if one individual has the power to multiply, then they are also equal to others.
The next step in our investigation, as stated above, is the definition of the power of multiplication. This is an interesting and powerful concept that will allow us to solve many complicated problems. The most famous example of a problem associated with this definition of Propety is the game show, “Jeopardy”. Any time a contestant shows up to play the game and does not win a round, they are eliminated from playing. Each time they are eliminated, they are brought back to where they started the show, and depending on the question they were asked, they are assigned a new number, and are once again put into the running for the next round.
When we discuss the game show format, we must also address the fact that any winner that is not immediately eliminated is still subject to the definition of equality. That means that, even after being eliminated, they still have the same chances of coming out on top as the other contestants. Therefore, if we eliminate a contestant each time it becomes clear that they do not meet the given criteria for being voted out, their chance of coming out on top does not decrease. In the definition of the power of multiplication, that is an important fact that proves that Propety is still true.
The power of multiplication, as we have seen above, is used in a lot of mathematics. For example, if we take prime numbers, such as 7, 8, 13, etc., and deal with their differences, such as their algebraic properties, the numbers themselves can be studied as if they had been prime numbers, namely by dealing with the additive inverse. We can prove that the product of two primes is also the product of the third primes and the product of all the primes, or we can prove that any number can be written down as the sum of all the primes. Thus, when dealing with such problems, the power of multiplication proves to be important. This is basically what makes propety so important in geometry.
However, even though it has been proven that the power of multiplication is important in geometry, it is not yet proven that it is indeed the definition of equality. To prove this, we would need to add another definition to the language. We can write this as follows: The definition of equality then, should be the set of all equal objects, the same kind of objects. For instance, if we take the set of real numbers, then the definition of equality is the set of all real numbers (since they are the same kind of number). Thus, both the sets of real numbers and the set of natural numbers are indeed the same kind of things, although they are obviously different from one another. If so, then the definition of equality must also be the set of all equal things.