Notes
It can be kind of like Democritus' "atoms of infinity," but what if I like to improvise? so that
when I break my knife, I have two knifes but for different uses. Maybe 1/2 becomes an envelope
opener and the other becomes a screwdriver.
Even better, what if I divide upon a different axis of rotation, like in the plane of the knife.
Then I can make infinite knifes and preserve the knifeness. Thus, instead of reducing the whole thing,
the object never stops being a knife but instead multiplies into many knifes, kinda like a cantor set or
wavelet where the part has memory of the whole.
Top to Bottom Approaches:
when does an object stop being that object when it is successively spliced in half -
i was thinking about Plato's forms during a class, and in the discussion there was a bias towards
a reductionist view of the splicing of the knife which prevented some other optional and alternative imaginations.
Everyone thinks that the object stops being that object upon the first splice / division.
Email : troy@trinicom.com