Principle,Axiom


Axioms
  1. The whole set is larger than a subset
  2. The whole is equal to the sum of all subsets
  3. Two entities equal to a third one are equal to each other
  4. When two equal entities are added, the sum is equal to the original entities
  5. When an entity is subtracted from an equal entity, the remainders are equal
Postulates
  1. It is possible to draw a straight line connecting two points
  2. It is possible to extend a finite straight line
  3. It is possible to draw a circle with a given radius centered on a specific point
  4. All right angles are equal
  5. Given a straight line and a point not belonging to it, there is one and only one straight line that is parallel to the given straight line and passes through the given point

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