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DHANALEKSHMI P S
B Ed MATHEMATICS
A typical mathematics system has the following
four parts:
Undefined terms
Defined terms
Axioms and postulates
Theorems
Undefined Terms
In mathematical system we come across many terms
which cannot be precisely defined . In modern
mathematics...
Defined Terms
We defined the other terms of the mathematical system
in terms of undefined terms.
Eg: angle, line segment ,...
Axioms and Postulates
Early Greeks considered postulates as general
truths common to all studies and axioms as the
truths ...
Theorems
A statement that we arrive at by successive application of
the rule of implication to the axiom and statements
pr...
THANK YOU
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Mathematical system

ABOUT MATHEMATICAL SYSTEM

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Mathematical system

  1. 1. DHANALEKSHMI P S B Ed MATHEMATICS
  2. 2. A typical mathematics system has the following four parts: Undefined terms Defined terms Axioms and postulates Theorems
  3. 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. 4. Defined Terms We defined the other terms of the mathematical system in terms of undefined terms. Eg: angle, line segment , circle etc.
  5. 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. 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.
  7. 7. THANK YOU

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