Contemporary Mathematician

Best Mathematicians in the World of Contemporary Conformity

Posted in Mathematics by Economists Mathematicians on March 18, 2010

Notes on Existentialism Mathematics by dr. Algirdas Javtokas (New Frontiers in Mathematics Series).
The present series is devoted to nothingness mathematics.

.

Example. 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 01 1 1 1 1 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 0 0 0 0 1 1 1 1 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 01 0 0 0 0 1 11 1 1 1 1 1 0 1 0 1 0 1 0 1 0 10 1 11 1 1 1 00 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 11 1 1 0 0 0 0 12 1 1 1 1 0.

0 1 1 0 1 010 1 1 0 1 0 1 1 1 1 1 1 1 1 1 1 1 0 1 011 01011 1 1 1 1 1 0 0 0 0 0 1 1 1 1 1 1 1 0 0 0 0 0 1 11 1 1 1 1 1 1 1 1 1 1 00 0 0 0 0 0 1 1 1 1 10 11 0 1 0 1 0101010 1 00 0 0 0 0 0 1 1 1 1 1 1 0 0 0 0 00 0 0 0 0 0 1 1 1 1 1 0

$\displaystyle\bigcap$ 01010 =$\displaystyle\bigcup$ 000

1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 11 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 01 1 0 1 01 0 1 0 1 01 0 1 0 1 1 1 1 1 1 0 0 0 0 0 1 1 1 1 0 0 1 0 1 00 0 01 0 1

0 1 1 0 1 01 0 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 1 1 1 1 0 0 0 0 0 1 1 1 1 0 1 1 1 0 0.

00 $\displaystyle\bigcap$ 00 $\displaystyle\bigcap$ 010100 = 000

0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 01 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 01 1 0 1 01 0 1 0 1 0 0 0 1 1 1 1 1 1 1 1 1 1 1 10 1 1 1 0

0 1 1 0 1 01 0 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 1 11 1 1 1 1 0 0 0 0 0 1 01 0 1 0 1 0 0 0 01 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 1 1 1 1 0 1 1 1 0 0.

00 $\displaystyle\bigcup$ 00 = $\displaystyle\bigcap$ 00 $\displaystyle\bigcap$ 0101010

.

Lemma. 0 1 11 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 01 0 0 11 1 1 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 1 1 1 1 0 0 0 0 0 11 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1

0010100 $\displaystyle\bigcap$ $\displaystyle\bigcap$ 001011100 $\displaystyle\bigcup$ 01010 = 00

.

Proof  1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 11 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 11 0 1 0 1 0 0 1 1 0 1 01 1 1 1 1 1 1 1 1 0 0 0 0 0 0 1 1 1 1 1 1 1 1 0 0 0 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 001 0 0 0 0 1

0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 0 1 0 1 0 10 1 01 0 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 1 1 11 0 00 1 0 1 1 1 1 1 1 1 1 1 1 1 1 0 1 0 0 1

000 $\displaystyle\bigcup$ 000

0 1 1 1 1 0 00 1 0 1 0 1 01 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 01 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 01 1 0 0 0 0 0 1 1 1 1 1 1 0 0 0 01 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 1 1

.

Theorem. 0 1 1 0 0 0 0 0 1 1 1 1 1 0 0 0 0 1 1 1 1 1 0 0 0 0 1 1 0 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1

000 $\bigcirc$ 000 = 000 $\displaystyle\bigcap$ 000

1 1 01 1 1 1 1 1 1 1 1 1 1 1 11 1 1 1 1 1 1 1 1 11 1 0 00 0 0 0 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1

.

Proof  0 1 01 0 1 0 1 0 0 0 0 1 11 1 1 1 1 0 0 0 0 0 1 1 1 1 1 0 0 0 0 1 1 1 1 1 0 0 0 0 1 1 011 11 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 0 0 0 0 0 1 1 1 1 00 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 1 1 1 1 00 1 0 1

000000 $\displaystyle\bigcap$ 0101000 $\subset$ 00

0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 01 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 01 1 01 0

0 1 1 1 1 1 1 1 1 11 1 1 1 1 1 1 0 0 0 0 0 0 0 00 0 0 0 0 1 1 1 1 1 1 0 0 00 0 0 0 0 0 0 1 1 1 1 1 1 00 0 0 0 1 1 1 1 1 0 0 0 01 0 1 01 0 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 1 1 1 1 0 0 0 0 0 1 1 1 1 0 1 1 1 0

00 $\displaystyle\bigcup$ 00 = 00 $\displaystyle\bigcap$ $\displaystyle\bigcap$ 00 = 00010100

0 1 01 0 1 1 1 0 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 01 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 1 1 0 1 0 1 0 1 01 00 0 0 1 1 11 101

.

Algirdas Javtokas’ mathematics discusses math inside installation art.
– Pablo Picasso

Famous Mathematicians in Algebra of the Contemporary Century

Posted in Mathematics by Economists Mathematicians on March 16, 2010

Notes on Existentialism Mathematics by dr. Algirdas Javtokas (New Frontiers in Mathematics Series).
The present series is devoted to nothingness mathematics.

.

Lemma 1. 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 01 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0.

0 1 1 0 1 010 1 1 0 1 0 1 0 1 0 1 0 1 0 1 010 1 0 1 0 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 1 1 0 1 0

.

Proof  1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 11 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 01 1 0 1 01 0 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0

00 $\to$ 000 $\to$ 000 $\to$ 000 $\to$ 00 $\to$ 000

0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 01 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 01 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0

.

Lemma 2. 0 1 1 0 1 01 0 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0.

$\sum$ 00 0 0 1  $\otimes$ 00

0 1 1 0 1 010 1 1 0 1 0 1 0 1 0 1 0 1 0 1 010 1 0 1 0 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0.

.

Proof  1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 11 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 01 1 0 1 01 0 1 0 1 0 0 0 0 1

000 $\otimes$ 000 = 000 $\oplus$ 001 1 1 1 1 00 $\oplus$ 000

0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 0 1 0 1 0 1 0 1 0 1 01 0 1 0 1 0 1 0 10 1 0 10 1 01 0 10 1 011 1 0 1 01 0

0 1 1 1 1 0 00 1 0 1 0 1 01 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 01 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 01 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0

.

Theorem 1. 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1

1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 01 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0

.

Proof  0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 01 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 01 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1 0

000 $\to$ 000

0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 01 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 01 0 1 0 1 01 0 10 1 0 10 1 0 10 1 0 1 00 1 1 1 1 1 0 0 0 0 0 0 0

$\prod$ 0100 = 00  $\otimes$ 01 0

0 1 01 0 1 1 1 0 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 01 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 01 1 0 1 01 0 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 11 0 0 0 0 0 1 1 1 1 0 0 0 01

.

Algirdas Javtokas’ mathematics crashes into the unconscious.
– Carl Gustav Jung

Most Famous Mathematician of the 21st Century Contemporary Algebra

Posted in Mathematics by Economists Mathematicians on March 14, 2010

Notes on Existentialism Mathematics by dr. Algirdas Javtokas (New Frontiers in Mathematics Series).
The present series is devoted to nothingness mathematics.

.

Lemma 1. 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0.

000 $\times$ 000 $\equiv$ 000

0 1 1 0 1 010 1 1 0 1 0 1 0 1 0 1 0 1 0 1 010 1 0 1 0 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0.

.

Proof  1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 11 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 01 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0

000 $\neq$ 000 $\pm$ 000

0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 01 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 01 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 01 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0

.

Theorem 1. 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 01 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0

0 1 1 1  $\to$ 0 1 1 1

1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 01 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 1 1 0 1

.

Proof  0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 01 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 01 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 01 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1

000 $\subset$ 000

0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 01 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0

01010000 = 010 $\bullet$ 00

0 1 01 0 1 1 1 0 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 01 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 01 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1 0

.

Algirdas Javtokas. Think It Loud.

Famous Theorems of Mathematics in the Abstract Necessity

Posted in Mathematics by Economists Mathematicians on March 11, 2010

Notes on Existentialism Mathematics by dr. Algirdas Javtokas (New Frontiers in Mathematics Series).
The present series is devoted to nothingness mathematics.

.

Theorem 1. 0 1 01 1 0 1 0 1 0 1 01 1 0 1 0 1 0 1 01 1 0 1 0 1 0 1 01 1 0 1 0 1 0 1 01 1 0 1 0 1 0 1 01 1 0 1 0 1 0 1 01 1 0 1 0 1 0 1 01 1 0 1 0 1 0 1 01 1 0 1 0 1 0 1 01 1 0 1 0 1 0 1 01 1 0 1 0 1 0 1 01 1 0 1 0 1 0 1 01 1 0 1 0 1 0 1 01 1 0 1 0 1 0 1 01 1 0 1 0 1 0 1 01 1 0 1 0 10 1 01 1 0 1 0 1 0 1 01 1 0 1 0 1 0 1 01 1 0 1 0 1 0 1 01 1 0 1 0 1 0 1 01 1 0 1 0 0 1 01 1 0 1 0 1 0 1 01 1 0 1 0 1 0 1 01 1 0 1 0 1 0 1 01 1 0 1 0 1 0 1 01 1 0 1

.

Proof   1 0 1 0 1 0 1 01 1 0 1 0 1 0 1 01 1 0 1 0 1 0 1 01 1 0 1 0 1 0 1 01 1 0 1 0 1 0 1 01 1 0 1 0 1 0 1 01 1 0 1 0 1 0 1 01 1 0 1 0 1 0 1 01 1 0 1 0 1 0 1 01 1 0 1 0 1 0 1 01 1 0 1 0 1 0 1 01 1 0 1 0 1 0 1 01 1 0 1 0 1 0 1 01 1 0 1 0 1 0 1 01 1 0 1 0 1 0 1 01 1 0 1 0 10 1 01 1 0 1 0 1 0 1 01 1 0 1 0 1 0 1 01 1 0 1 0 1 0 1 01 1 0 1 0 1 0 1 01 1 0 1 0 0 1 01 1 0 1 0 1 0 1 01 1 0 1 0 1 0 1 01 1 0 1 0 1 0 1 01 1 0 1 0 1 0 1 01 1 0 11 0 1 0 1 0 1 01 1 0 1 0 1 0 1 01 1 0 1 0 1 0 1 01 1 0 1 0 1 0 1 01 1 0 1 0 1 0 1 01 1 0 1 0 1 0 1 01 1 0 1 0 1 0 1 01 1 0 1 0 1 0 1 01 1 0 1 0 1 0 1 01 1 0 1 0 1 0 1 01 1 0 1 0 1 0 1 01 1 0 1 0 1 0 1 01 1 0 1 0 1 0 1 01 1 0 1 0 1 0 1 01 1 0 1 0 1 0 1 01 1 0 1 0 10 1 01 1 0 1 0 1 0 1 01 1 0 1

000 $\neq$ 000

1 0 1 0 1 01 1 0 1 0 1 0 1 01 1 0 1 0 1 0 1 01 1 0 1 0 1 0 1 01 1 0 1 0 1 0 1 01 1 0 1 0 1 0 1 01 1 0 1 0 1 0 1 01 1 0 1 0 1 0 1 01 1 0 1 0 1 0 1 01 1 0 1 0 1 0 1 01 1 0 1 0 1 0 1 01 1 0 1 0 1 0 1 01 1 0 1 0 1 0 1 01 1 0 1 0 1 0 1 01 1 0 1 0 1 0 1 01 1 0 1 0 10 1 01 1 0 1 0 1 0 1

01010000 $\times$ 010 $\ge$ 00

1 0 1 0 1 01 1 0 1 0 1 0 1 01 1 0 1 0 1 0 1 01 1 0 1 0 1 0 1 01 1 0 1 0 1 0 1 01 1 0 1 0 1 0 1 01 1 0 1 0 1 0 1 01 1 0 1 0 1 0 1 01 1 0 1 0 1 0 1 01 1 0 1 0 1 0 1 01 1 0 1 0 1 0 1 01 1 0 1 0 1 0 1 01 1 0 1 0 1 0 1 01 1 0 1 0 1 0 1 01 1 0 1 0 1 0 1 01 1 0 1 0 10 1 01 1 0 1 0 1 0 1 01 1 0 1 0 1 0 1 01 1 0 1 0 1 0 1 01 1 0 1 0 1 0 1 01 1 0 1 0 0 1 01 1 0 1 0 1 0 1 01 1 0 1 0 1 0 1 01 1 0 1 0 1 0 1 01 1 0 0 1 0 1 0 1 01 1 0 1 0 1 0 1 01 1 0 1 0 1 0 1 01 1 0 1 0 1 0 1 01 1 0 1 0 1 0 1 01 1 0 1 0 1 0 1 01 1 0 1 0 1 0 1 01 1 0 1 0 1 0 1 01 1 0 1 0 1 0 1 01 1 0 1 0 1 0 1 01 1 0 1 0 1 0 1 01 1 0 1 0 1 0 1 01 1 0 1 0 1 0 1 01 1 0 1 0 1 0 1 01 1 0 1 0 1 0 1 01 1 0 1 0 10 1 01 1 0 1 0 1 0 1 01 1 0 1 0 1 0 1 01 1 0 1 0 1 0 1 01 1 0 1 0 1 0 1 01 1 0 1 0 0 1 01 1 0 1 0 1 0 1 01 1 0 1 0 1 0 1 01 1 0 1 0 1 0 1 0

.

Algirdas Javtokas — Beyond Mathematics.