GalaxyMan

GalaxyMan
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Curio City, Faraway
Bio
Happened to be passing by and could not resist staying a little to see how things are on this pretty planet. My amateurish reports are absolutely harmless, they won't even arrive to my home galaxy for another billion years. And by then…

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MAY 21, 2009 8:54PM

Point of View on the Horizon

Rate: 4 Flag

crownest

The fable below is an extended version of an otherwise succinct statement made by a wise mathematician on this pretty planet (*). It happened a long time ago and apparently both my galaxy folks and modern Earthlings would benefit from remembering it.

(Oh, no! Its use is not limited to mathematics and natural sciences.)

The Earthling's mind may be visually represented by a circle.

Within the circle we find everything the person knows. The unknown world starts just outside the circle and stretches all the way out to infinity.

  KnownUnknown

Interaction between known and unknown is possible across this red line that separates the two. The more someone knows, the larger the area inside the red line and the easier it is for new information to get in.

Those who know a lot are called people with a wide horizon.
Horizon, in fact, is a good metaphor. Like the lookout in the crow's nest, one can see clearly everything within the horizon but have only foggy ideas of things that lie beyond.

Those who know less, end up with a narrower horizon.

And those with practically zero knowledge will only have a teeny-weeny horizon. Looking through such narrow opening the unknown world would appear insignificant and little information will be gleaned from it.

In geometry such infinitely small circle would be called a point.

In this case the infinitely small horizon is csalled the point of view.

It hardly changes with time, and tricks its owner into thinking that everything out there is simple.

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(*)    David Hilbert (1862-943), German mathematician allegedly said that "Some people have got a mental horizon of radius zero and call it their point of view."

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Brilliant! Perfectly explains the phenomenon of pointy heads!