The following information was submitted:
Transactions: WSEAS TRANSACTIONS ON MATHEMATICS
Transactions ID Number: 52-203
Full Name: Sennimalai Kalimuthu
Position: Researcher
Age: ON
Sex: Male
Address: SF 211 & 212/4, Kanjampatti P.O, Pollachi Via, Tamil Nadu 642003, India
Country: INDIA
Tel: 91 97152 48506
Tel prefix: NA
Fax: NA
E-mail address: kalimuthu@janhoo.com
Other E-mails: kgeom50@yahoo.com
Title of the Paper: On the incompleteness of mathematics
Authors as they appear in the Paper: S.Kalimuthu
Email addresses of all the authors: kalimuthu@janhoo.com
Number of paper pages: 10
Abstract: Trisection of the given general angle, squaring the circle, duplicating the cube, to draw a regular heptagon, to find a general solution formula for the fifth degree algebraic equation and to deduce the Euclidean fifth postulate from the first four postulates are the most famous 2300 years old mathematical impossibilities. The square root of two (2) is always irrational, the sum of the two odd numbers is always an even number and the polynomial quadratic equation cannot have more than two roots. In this short work, by establishing the Euclidean fifth postulate, the author has attempted to show that the addition operation of elementary arithmetic and the laws of elementary first order linear algebraic equations miserably fail in geometry.
Keywords: Euclid, elements, postulates , arithmetic addition, algebra
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