We can treat the Mathematical System as bones on the human body, it is the base for everything to function well. If one part is missing, we can never be able to make it function properly.
A typical mathematics system has the following four parts:
1. Undefined Terms, In mathematical system we come across many terms which cannot be precisely defined . In modern mathematics we accept certain undefined terms . The choice of the undefined terms is completely arbitrary and generally to facilitate the development of the structure. Eg: point, plane, number, variable , line etc.
2. Defined Terms, We defined the other terms of the mathematical system in terms of undefined terms. Eg: angle, line segment , circle etc.
3. Axioms and Postulates, Early Greeks considered postulates as general truths common to all studies and axioms as the truths relating to the special study at hand.
4. Theorems, A statement that we arrive at by successive application of the rule of implication to the axiom and statements previously arrived is called theorems. For example, Angle in a semicircle are right angles.
Therefore, mathematical systems help us to understand the world of math and used it to be more knowledgeable.
Answers & Comments
Answer:
We can treat the Mathematical System as bones on the human body, it is the base for everything to function well. If one part is missing, we can never be able to make it function properly.
#CarryonLearning
Answer:
A typical mathematics system has the following four parts:
1. Undefined Terms, In mathematical system we come across many terms which cannot be precisely defined . In modern mathematics we accept certain undefined terms . The choice of the undefined terms is completely arbitrary and generally to facilitate the development of the structure. Eg: point, plane, number, variable , line etc.
2. Defined Terms, We defined the other terms of the mathematical system in terms of undefined terms. Eg: angle, line segment , circle etc.
3. Axioms and Postulates, Early Greeks considered postulates as general truths common to all studies and axioms as the truths relating to the special study at hand.
4. Theorems, A statement that we arrive at by successive application of the rule of implication to the axiom and statements previously arrived is called theorems. For example, Angle in a semicircle are right angles.
Therefore, mathematical systems help us to understand the world of math and used it to be more knowledgeable.