Mr Spock was often teased
or rebuked by his crewmates for not understanding aspects of reality that could
not be deduced or induced by logic. Love and affection, for instance, are not
logical and therefore should not be acted upon. Presumably, being from the
planet Vulcan, Mr Spock was not familiar with Goedel’s Incompleteness Theorem,
published on Earth in 1931 under the rubric Formally Undecidable Propositions
of Principia Mathematica and Related Systems I.
According to the Oxford English Dictionary Goedel’s Incompleteness
Theorem states that ‘in any sufficiently powerful, logically consistent
formulation of logic or mathematics there must be true formulas which are
neither provable or disprovable’.
Separately, the Oxford Dictionary of Philosophy entry on
this theorem states the following: ‘The implied moral is that truth in some way
outruns provability, at least when that is considered formally.’
This theorem is a landmark in philosophical and mathematical
logic. It proves that a scientific theory of everything is inherently
impossible and, by implication, we have to go to something transcendental to connect with a greater truth than that reachable by logic alone
(important though logic is). What is staggering is that some cosmologists and
theoretical physicists of high intelligence persist in ignoring this theorem,
often, it seems in a fruitless attempt to pretend there is no creative agency
behind the universe. Are they aware of the theorem or is it they don’t
understand it or is it just that they don’t want to know?
Unlike scientists, mathematicians on the frontiers of
computer technology are forced to adhere to it because it is a powerful tool in
gauging the computability of certain mathematical functions.
For an excellent and clear account of Goedel’s world
shattering theorem and its implications click here.
Finally, a disclaimer – I am not a mathematical logician or
professional philosopher. I am not even intelligent by any conventional
measure. However, I am interested in a lot of things and persistent and as one
who believes in God I am committed to truth.
Doctrine of chance
What is truth?
Distorting reality
Doctrine of chance
Is there meaning behind random events?
The five-fold threat to science
Are some scientists from the planet vulcan?
The five-fold threat to science
Are some scientists from the planet vulcan?
John
cosmik.jo@gmail.com