Mathematical system
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A typical mathematics system has four parts: undefined terms which cannot be precisely defined but are chosen arbitrarily to facilitate development; defined terms which are defined in terms of undefined terms; axioms and postulates which are general truths that form the basis of the system; and theorems which are statements derived from successive application of axioms and previously proved statements.
Mathematical system
- 1. DHANALEKSHMI P S B Ed MATHEMATICS
- 2. A typical mathematics system has the following four parts: Undefined terms Defined terms Axioms and postulates Theorems
- 3. 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.
- 4. Defined Terms We defined the other terms of the mathematical system in terms of undefined terms. Eg: angle, line segment , circle etc.
- 5. 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.
- 6. 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.
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