Sunday, April 8, 2012

Euclidean Geometry as a Base.

Euclid's Elements also include the following five "common notions":
1- Things that are equal to the same thing are also equal to one another.
2- If equals are added to equals, then the wholes are equal.
3- If equals are subtracted from equals, then the remainders are equal.
4- Things that coincide with one another equal one another.
5- The whole is greater than the part.

Conclusion: Equality seems to be the basic geometrical principle which allows for all things to co-exist on the level.

1 comment:

  1. I like your style of writing. You break it down nicely. Very informative post. Keep up the good work.
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