Using | x y | ≤ p {\displaystyle |xy|\leq p} , we know y {\displaystyle y} only consists of instances of a {\displaystyle a} . Moreover, because | y | ≥ 1 {\displaystyle |y|\geq 1} , it contains at least one instance of the letter a {\displaystyle a} .
Condition 3 => condition 2, pumping up leads to contradiction.
Mere com-pression, of course, is not enough; one needs not only tomake and store a record but also to be able to consult it,
Before the Gutenberg press, storage and recording of ideas was a primary problem, and restriction in the advancement and free sharing of ideas; But we come now to the modern days - is storing all of this information necessary?
As the article suggests, mere compression of information is not enough. What use of this information if we don't consult, nor make good use of it?
At what point can we say, that's enough of what we need from this source; let's let it go'?
intu-itive judgment in thechoice of the manipulativeprocesses he employs
A recurring thought; slow thought vs. fast thought, or design and purpose, rather than mechanical production of materials
-Is one deficient without the other?
indexing
At times, we attempt to improve time complexity of an algorithm by sacrificing space complexity - and increasing storage space. If indexing the human mind was possible, hence we could store memory in a 'hash table', we would have faster and immediate recall of information.
However, a lot of the times my mind feels as disorganized and cluttered when I try to navigate around the brain's storage. Could the same piece of information be stored in different parts of the brain, simply due to the different associations it evoked at the time? I wonder.
trails that are not frequently followed are prone to fade,items are not fully permanent, memory is transitory.
Equally jarring is this idea; If one engaged keenly with a thought, but by the transient nature of the memory this is wholly obliterated from the mind, did the thought ever exist?
Just because information was not 'stored', and could not possibly remembered, can we say that it never existed?
If a tree falls and nobody heard, did it make a sound?
information is found(when it is) by tracing it down from subclass to subclass. Itcan be in only one place, unless duplicates are used; one hasto have rules as to which path will locate it, and the rules arecumbersome. Having found one item, moreover, one has toemerge from the system and re-enter on a new path.
Interesting description of information recall; This is somehow akin to how one remembers events from the past - "Where did I put those keys?"
"First, what did I do on Monday morning? I was heading out to the supermarket. What was I wearing? A yellow coat! Oh, I remember! I placed my keys in my coat pocket."
Oftentimes we can relocate previous fading thought by tracing it down with interwoven pieces around it, or following a set of steps to access it.
note
This is my first note.