A task is a particular transformation of the physical environment.
COPY_POEM is the task which turns one page of poetry into two copies of the poetry. The task COPY_POEM would be solved by a photocopier or a plagiarist schoolboy.
WRITE_POEM is the task which turns no pages of poetry into one page of poetry. The task WRITE_POEM would be solved by Rilke or a creative schoolboy.
But the task COPY_POEM doesn’t reduce to WRITE_POEM. (You can imagine that although Rilke can write original poems, he is incapable of copying an arbitrary poem that you hand him.)
And the task WRITE_POEM doesn’t reduce to COPY_POEM. (My photocopier can’t write poetry.)
I presume you mean something different by COPY_POEM and WRITE_POEM.
I think I am the one that is misunderstanding. Why doesn’t your definitions work?
For every Rilke that that can turn 0 pages into 1 page, there exists another machine B s.t.
(1) B can turn 1 page into 1 page, while interacting with Rilke. (I can copy a poem from a rilke book while rilke writes another poem next to me, or while Rilke reads the poem to me, or while Rilke looks at the first wood of the poem and then creates the poem next to me, etc.)
(2) the combined Rilke and B doesnt expend much more physical resource to turn 1 page into 1 page as Rilke expends writing a page of poetry.
I have a feeling I am misentrepreting one or both of the conditions.
I’m probably misunderstanding you but —
A task is a particular transformation of the physical environment.
COPY_POEM is the task which turns one page of poetry into two copies of the poetry.
The task COPY_POEM would be solved by a photocopier or a plagiarist schoolboy.
WRITE_POEM is the task which turns no pages of poetry into one page of poetry.
The task WRITE_POEM would be solved by Rilke or a creative schoolboy.
But the task COPY_POEM doesn’t reduce to WRITE_POEM.
(You can imagine that although Rilke can write original poems, he is incapable of copying an arbitrary poem that you hand him.)
And the task WRITE_POEM doesn’t reduce to COPY_POEM.
(My photocopier can’t write poetry.)
I presume you mean something different by COPY_POEM and WRITE_POEM.
I think I am the one that is misunderstanding. Why doesn’t your definitions work?
For every Rilke that that can turn 0 pages into 1 page, there exists another machine B s.t.
(1) B can turn 1 page into 1 page, while interacting with Rilke. (I can copy a poem from a rilke book while rilke writes another poem next to me, or while Rilke reads the poem to me, or while Rilke looks at the first wood of the poem and then creates the poem next to me, etc.)
(2) the combined Rilke and B doesnt expend much more physical resource to turn 1 page into 1 page as Rilke expends writing a page of poetry.
I have a feeling I am misentrepreting one or both of the conditions.