Are sets, in an abstract sense, one of the most fundamental objects in contemporary mathematics?
Yes and no.
The equivalence relation lies deeper within the knowledge representation and it’s foundation.
There are other knowledge prerequisites which lie even deeper within the knowledge substrate than the equivalence relation.
The concepts of a boundary, of quantity, membership, reflexivity, symmetry, transitivity, and relation are some examples.
Does Knowledge Become More Accurate Over Time?
Change lies deeper in the knowledge substrate than time.
Knowledge is not necessarily coupled with time, but it can be influenced by it. It can be influenced by change of any kind: not only time.
Knowledge may exist in a moment and vanish. The incipient perspective(s) it contains may change. Or the perspective(s) that it comprises may resist change.
Also, knowledge changes with reality and vice versa.
Time requires events to influence this relationship between knowledge and reality.
Knowledge cannot be relied upon to be a more accurate expression of reality, whether time is involved or not, because the relationship between knowledge and reality is not necessarily dependent upon time, nor is there necessarily a coupling of the relationship between knowledge and reality. The relationships of ‘more’ and ‘accurate’ are also not necessarily coupled with time.
Example: Eratosthenes calculated the circumference of the Earth long before Copernicus published. The ‘common knowledge’ of the time (Copernicus knew about Eratosthenes, but the culture did not) was that the Earth was flat.
What About Tacit Knowledge?
A knowledge representation system is required. I’m building one right now. Mathesis Universalis.
There are other tools which are useful, such as TheBrain Mind Mapping Software, Brainstorming, GTD and Knowledgebase Software
Products and technologies like TheBrain, knowledge graphs, taxonomies, and thesauri can only manage references to and types of knowledge (ontologies).
A true knowledge representation would contain vector components which describe the answers to “Why?” and “How does one know?” or “When is ‘enough’, enough?” (epistemology).
It is only through additional epistemological representation that tacit knowledge can be stored and referenced.
HUD Fly-by Test
Don’t take this as an actual knowledge representation; rather, simply a simulation of one. I’m working out the colour, transparent/translucent, camera movements, and other technical issues.
In any case you may find it interesting.
The real representations are coming soon.
Nascent Mind, Prescient Knowledge: Instinct And Envisioning
It’s at this juncture that concepts begin to coalesce. Within this ‘Holy of Holies’ concepts are born and form/generate their associated continuums. It’s like watching the blue wisping stars newly born in the constellation of Pleiades.
https://en.wikipedia.org/wiki/Pleiades
This ‘event horizon’ is so crucial to understanding and participating in mind; yet those who should know better simply ignore or overlook it.
Tesla’s statement here rings so true that it simply boggles my mind and confirms that Tesla was ‘tuned into it.’
He clearly exhibited these awarenesses on several occasions. He was able to envision many ideas to their completion before constructing them; and his instinct for somehow ‘knowing’ (flashes of insight) what to do next and where to go with an idea were so profound that it often overwhelmed and incapacitated him. His mind was so fertile that layers of creative impulses were being maintained concurrently.
Next to Socrates there are very few who inspire me. Tesla is one of those few.
Quantum Weirdness To Meaninglessness
Quantum Weirdness To Meaninglessness
Physicists: your days are numbered. Don’t say we didn’t warn you.
Owen Maroney worries that physicists have spent the better part of a century engaging in fraud.
It’s a mess!
Ever since they invented quantum theory in the early 1900s, explains Maroney, who is himself a physicist at the University of Oxford, UK, they have been talking about how strange it is — how it allows particles and atoms to move in many directions at once, for example, or to spin clockwise and anticlockwise simultaneously. But talk is not proof, says Maroney. “If we tell the public that quantum theory is weird, we better go out and test that’s actually true,” he says. “Otherwise we’re not doing science, we’re just explaining some funny squiggles on a blackboard.”
Link to document: http://www.nature.com/polopoly_fs/1.17585!/menu/main/topColumns/topLeftColumn/pdf/521278a.pdf
Sadly, the writer doesn’t grasp the depth and breath of the whole affair: It’s not only physics!
The time is coming when every single card in their ‘house of cards’ is going to come down.
They’ve been lying to us everywhere:
1) Uncertainty
2) Chaos
3) Randomness
4) Philosophy
5) Complexity
6) Meaning
7) Scarcity
8) Mathematics
…
The list goes on and on. I’m one of those who are going to bring the whole charade down… and I’m not alone.
Information Visualization Is Not Knowledge Representation
(Lynda.com – Overview of Data Visualization)
Information Visualization Is Not Knowledge Representation
This great video from Lynda.com shows how the processing language/interpreter is great for modeling information.
With such a multitude of interesting ways to model data, we find it hard to resist the temptation to call this knowledge, but it’s not!
All of the wonderful representations here still require us to interpret their meaning!
What if there were a way to present knowledge in which our own understanding is not required to interpret them? What if our understanding of what we have presented to us becomes part of the presentation itself, and in fact, influences what we take from that representation?
We obviously need knowledge representation that can provide their meaning on their own for only they can provide a true understanding of their inherent structure and dynamics.
You see real understanding is the personalization of knowledge into your own mind. If your mind cannot dialog with that knowledge, it’s not really yours and if your mind does all the work, it’s only information.
Heurist.me (Carey G. Butler) 