## Mathematical Possibilities Of

SCIENTIFIC NOTATION—This is a number plus a small superscript numeral. Using it, small numbers can be written to denote numbers that are so immense that they are incomprehensible and can only with difficulty be written out. Thus, 8 trillion (8,000,000,000,000) would be written 8 x 1012, and 1 billion (1,000,000,000) would be written simply as 109. Here are a few comparisons to show you the impossible large size of such numbers:

 Hairs on an average head 2 x 106 Seconds in a year S x 107 Retirement age (0 to 65) in seconds 2 x l09 World population 5 x 109 Miles [1.6 km] in a light-year 6 x 1010 Sand grains on all shores 1022 Observed stars 1022 Water drops in all the oceans 1026 Candle power of the sun S x 1027 Electrons in the universe 10S0 It is said that any number larger than 2 x 1030 can-

not occur in nature. In the remainder of this chapter, we will look at some immense numbers!

not occur in nature. In the remainder of this chapter, we will look at some immense numbers!

MATH LOOKS AT DNA—(*#4/37 More Mathematical Impossibilities *) In the world of living organisms, there can be no life or growth without DNA. What are the mathematical possibilities (in mathematics, they are called probabilities) of JUST ONE DNA molecule having formed itself by the chance?

"Now we know that the cell itself is far more complex than we had imagined. It includes thousands of functioning enzymes, each one of them a complex machine itself. Furthermore, each enzyme comes into being in response to a gene, a strand of DNA. The information content of the gene in its complexity must be as great as that of the enzyme it controls.

"A medium protein might include about 300 amino acids. The DNA gene controlling this would have about 1000 nucleotides in its chain. Since there are four kinds of nucleotides in a DNA chain, one consisting of 1000

links could exist in 4x101000 different forms.

"Using a little algebra (logarithms) we can see that 41000 is equivalent to 10600. Ten multiplied by itself 600 times gives the figure 1 followed by 600 zeros! This number is completely beyond our comprehension."—*Frank Salisbury, "Doubts about the Modern Synthetic Theory of Evolution, " American Biology Teacher, September 1971, pp. 336-338.

So the number of possible code combinations for an average DNA molecule is a fabulously large number! That is not 4000 (4 followed by 3 zeros), but 4 times itself a thousand times—or a little more than 10602! How could random action produce the right combination out of that many possibilities for error?

LIFE REQUIRED—In addition to DNA, many other materials, such as proteins, enzymes, carbohydrates, fats, etc, would have to be instantly made at the same time. The beating heart, the functioning kidneys, the circulatory vessels, etc. They would all need to be arranged within the complicated structure of an organism,—and then they would have to be endued with LIFE!

Without LIFE, none of the raw materials, even though arranged in proper order, would be worth anything.

One does not extract life from pebbles, dirt, water, or a lightning bolt. Lightning destroys life; it does not make it.

GOLEY'S MACHINE—A communications engineer tried to figure out the odds for bringing a non-living organism with few parts (only 1500) up to the point of being able to reproduce itself.

"Suppose we wanted to build a machine capable of reaching into bins for all of its parts, and capable of assembling from those parts a second machine just like itself."—*Marcel J.E. Goley, "Reflections of a Communications Engineer," in Analytical Chemistry, June 1961, p. 23.

Likening a living organism to a machine that merely reached out and selected parts needed to make a duplicate of itself, Goley tried to figure the odds for 1500 needed items—requiring 1500 right choices in a row. Many different parts would be needed, and Goley assumed they would all be lying around near that manufacturing machine! Goley assumes that its mechanical arm will have only a 50-50 chance of error in reaching out and grabbing the right piece! Such a ratio (1500 50.50 choices) would be impossible for the randomness of chance ("natural selection") to produce. Goley then figures the odds based on such a one-in-two success rate of reaches. But if such a high rate of accurate selection were possible, Goley discovered there was only one chance in 10450 that the machine could succeed in reproducing itself! That is 1 followed by 450 zeros! The more it tried to reproduce itself, the farther it would get from success.

Far smaller are all the words in all the books ever published. They would only amount to 1020, and that would be equivalent to only 66 of those 1500 50-50 choices all made correctly in succession!

TOO MANY NUCLEOTIDES—Just the number of nucleotides alone in DNA would be too many for Goley's machine calculations. There are not 1500 parts but multiplied thousands of factors, of which the nucle-otides constitute only one.

(1) There are 5,375 nucleotides in the DNA of an extremely small bacterial virus (theta-x-174). (2) There are about 3 million nucleotides in a single cell bacteria. (3) There are more than 16,000 nucleotides in a human mitochondrial DNA molecule. (4) There are approximately 3 billion nucleotides in the DNA of a mammalian cell. (People and many animals are mammals.)

Technically, a "nucleotide" is a complex chemical structure composed of a (nucleic acid) purine or pyrimi-dine, one sugar (usually ribose or deoxyribose), and a phosphoric group. Each one of those thousands of nucle-

otides within each DNA is aligned sequentially in a very specific order! Imagine 3 billion complicated chemical links, each of which has to be in a precisely correct sequence!

NOT POSSIBLE BY CHANCE—Many similar mathematical comparisons could be made. The point is that chance cannot produce what is in a living organism—not now, not ever before, not ever in the future. It just cannot be done.

And even if the task could be successfully completed, when it was done, that organism still would not be alive!

Putting stuff together in the right combination does not produce life.

And once made, it would have to have an ongoing source of water, air, and living food continually available as soon as it evolved into life. When the evolutionist's organism emerged from rock, water, and a stroke of lightning hitting it on the head,—it would have to have its living food source made just as rapidly.

### The problems and hurdles are endless.

"Based on probability factors . . any viable DNA strand having over 84 nucleotides cannot be the result of haphazard mutations. At that stage, the probabilities are 1 in 4.8 x 1050. Such a number, if written out, would read:

480,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000.

"Mathematicians agree that any requisite number beyond 1050 has, statistically, a zero probability of occurrence (and even that gives it the 'benefit of the doubt'). Any species known to us, including 'the smallest single-cell bacteria,' have enormously larger numbers of nucleotides than 100 or 1000. In fact, single cell bacteria display about 3,000,000 nucleotides, aligned in a very specific sequence. This means, that there is no mathematical probability whatever for any known species to have been the product of a random occurrence—random mutations (to use the evolutionist's favorite expression)."—

Wysong explains the requirements needed to code one DNA molecule. By this he means selecting out the proper proteins, all of them left handed, and then placing them in their proper sequence in the molecule—and doing it all by chance:

"This means 1/1089190 DNA molecules, on the average, must form to provide the one chance of forming the specific DNA sequence necessary to code the 124 proteins. 1089190 DNAs would weigh 1089147 times more than the earth, and would certainly be sufficient to fill the universe many times over. It is estimated that the total amount of DNA necessary to code 100 billion people could be contained in Vz of an aspirin tablet. Surely 1089147 times the weight of the earth in DNAs is a stupendous amount and emphasizes how remote the chance is to form the one DNA molecule. A quantity of DNA this colossal could never have formed."—R.L. Wysong, The Creation-Evolution Controversy, p. 115.

A GEM OF A QUOTATION—Evolutionists claim that everything impossible can happen by the most random of chances,—simply by citing a large enough probability number. *Peter Mora explains to his fellow scientists the truth about evolutionary theorizing:

"A further aspect I should like to discuss is what I call the practice of avoiding the conclusion that the probability of a self-reproducing state is zero. This is what we must conclude from classical quantum mechanical principles, as Wigner demonstrated.

"These escape clauses [the enormous chance-occurrence numbers cited as proof by evolutionists that it could be done] postulate an almost infinite amount of time and an almost infinite amount of material (monomers), so that even the most unlikely event could have happened. This is to invoke probability and statistical considerations when such considerations are meaningless.

"When for practical purposes the condition of infinite

THE LEFT IU AND RIGHT (D) AMINO ACID MOLECULES

The two molecules are identical in every way except shape. They are alike chemically, but different dimensionally. Each one is the mirror image of the other. One is like a left-handed glove: the other a right-handed one. But only the left-shaped (L) amino acids are found in animal life. A typical amino acid in both forms is illustrated below.