The Blank Page 1 by Andrew Cairns
The page is blank but I will
endeavour to fill it with writing.
How blank is a page really? Is
it predestined to be written on, drawn on, destroyed or recycled? Or does
the writer have total control
How blank is a new born baby
(or earlier stage embryo)? Do the environment and genetic inheritance totally
determine his personality, his actions, his thoughts?
Do you have freedom of
thought? What are the limits?
100 billion neurons (give or
take). 100 trillion synapses. At any one time, only about 10% of the neurons are actually
"firing". [cf. 1080 atoms in the universe].
1016 operations per second
(1015 synapses operating at about 10 impulses/second)
60*60*24*365*80
= 2 522 880 000 seconds in a lifetime
=> 2.5 * 1025 operations
per lifetime (or thoughts)
Scraped from
the net:
Massive oversimplification:
Consider that there are approximately 1 trillion neural connections in the human brain. For simplicity sake, assume that any given instant, each connection is either "on" or "off" (firing or not firing). Then the number of possible states is two raised the power of one trillion. That's a finite number, but even if humanity survived until the heat death of the universe, we couldn't exhaust a measurable fraction of the possible mental states.
posted by justkevin at 8:11 AM on January 23, 2006
Consider that there are approximately 1 trillion neural connections in the human brain. For simplicity sake, assume that any given instant, each connection is either "on" or "off" (firing or not firing). Then the number of possible states is two raised the power of one trillion. That's a finite number, but even if humanity survived until the heat death of the universe, we couldn't exhaust a measurable fraction of the possible mental states.
posted by justkevin at 8:11 AM on January 23, 2006
Based on this
simplification, possible thoughts (mental states for 1 human) : 2 to the power
of 100 000 000 000 000 = approx 1042 operations
Implies 1017 lifetimes
required to exhaust all possible thoughts.
i.e. 105 trillion humans over the total lifespan of humanity (estimates are only
1.2 trillion Doomsday argument (DA)). Scraped from Wikipedia.
Assuming that the world population stabilizes at 10 billion and
a life expectancy of 80 years, it can be estimated
that the remaining 1140 billion humans will be born in 9120 years. cf 60
billion born so far.
If we survive
another 5 billion years (estimated time left before the sun burns out) => approx 5 * 100 000 * 1000 billion humans = 5
* 105 trillion humans would be able to exhaust 5 * the possible thoughts
Bit of a
digression.
You would
need to live 105 trillion lifetimes to exhaust all possible thoughts
(mental states).
So we can
safely say - the limits are only imposed by the physical synapse limits of the
brain, but within your lifetime you are free to have about 1025 thoughts out of a
possible 1042 - leaves a lot of scope.
So your brain offers you the
possibility of freedom of thought, but your genetics and environment are
heavily pounding the brain into certain thought patterns.
If you could but for a few
minutes escape all environmental and genetic restraints, then what would your
brain be capable of? Huge originality. Perhaps this is why the most original
thinkers / people who put their brains to the most original use have strange or
'damaged' brains - e.g. Einstein, people with Autism).
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