Mars image mosaic from the Viking 1 orbiter |
In a
previous post I discussed the fallacy
of the invisible cat, where the cause was the confusion between a
sufficient and a necessary condition, as indicated by the following table:
Correct deduction:
Necessary condition
|
Fallacious deduction:
Sufficient condition
|
B is true only if A is true.
B is true.
Therefore A is true.
|
B is true if A is true.
B is true.
Therefore A is true.
|
There is
another very similar fallacy, which also consists of confusing necessary and
sufficient conditions, but in reverse. In this case, the right and wrong
syllogisms are indicated by the following table:
Correct deduction:
Sufficient condition
|
Fallacious deduction:
Necessary condition
|
B is true if A is true.
A is true.
Therefore B is true.
|
B is true only if A is
true.
A is true.
Therefore B is true.
|
Let us look
at one example of this fallacy, applicable to the existence of life in Mars:
Water is necessary for the existence
of life.
There is water on Mars.
Therefore there is life on Mars.
What is the
situation about the current possible existence of life on Mars?
Artistic rendering of a Viking Lander on Mars |
On July 20,
1976, on the seventh anniversary of the first landing on the moon, the capsule Viking
1 landed on Mars, followed a few months later by its twin, Viking 2, which landed
on the other side of the planet. The two capsules were scheduled to perform
three experiments in search of life. Two of them gave negative results, the
third tested positive. However, NASA concluded that there is no life at present
in the Martian areas analyzed. Why?
- In the positive experiment, Martian soil was added to a terrestrial culture consisting of sugars and amino acids containing radioactive carbon. If there were microscopic life on Mars and it were able to take advantage of these substances in its metabolism, radioactive carbon dioxide should be emitted and identified by detectors. Indeed, it was detected, but NASA did not take it into account and came to a negative conclusion.
- NASA's decision was correct. If the positive result would have brought them to the conclusion that there is life on Mars, they would have been applying the fallacy of the invisible cat with the following deduction: If there is life on Mars, the result will be positive.
- The dubious experiment could have been designed in a different way. Instead of a culture, two would have been prepared, one provided with dextro-rotating sugars and levo-rotating amino acids; the other with levo-rotating sugars and dextro-rotating amino acids. If the amount of radioactive carbon dioxide had been different between the two cultures, this fact would have been a strong evidence for the existence of life on Mars, since most non biotic processes that could lead to the production of CO2 would be eliminated, as only life (at least terrestrial life) distinguishes the chirality of its components. In fact, this design was proposed, but rejected because of budget problems.
The result was positive.
Therefore there is life on Mars.
The problem is that the existence of life was a sufficient, but not necessary condition, for the culture to emit radioactive carbon dioxide. NASA acted properly and did not fall into the fallacy, because it gave priority to the negative results of the other two experiments.
Manuel Alfonseca
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