my handle is just intitials. I relized recently that the letters could be rearranged to spell God. but they could also spell Dog. Either way I had no ideas about god or dogs when I choose it (All the good handles are alwayse taken so I get frustrated fast and stop trying to get a cool handle.)
How about "human knowledge"? Let's see how it fits with your arguements:
[knowledge] can be discovered using the Scientific Method. That a human [has certain knowledge], and not some alien, is irrelevant. [Knowledge] is only subject to logical error, and new [knowledge discovered using the...
Thank you for clarifying that point.
Funny, but i meant human theories are open to human error.
There is a trickly bit of semantics here. I consider the process of model building to be creative. But there is also a process of 'discovery' when data is collected and compared to the...
From the subjective perspective of a master (employer): A hard working slave (employee) is better than a lazy one.
From the subjective perspective of a hedonist: Playing hard is working hard.
From the subjective perspective of Larry Wall (creator of the PERL scripting language): Laziness...
by Mentat:
Its easy make declaritive statements that ignor alternative perspectives... I challlenge you to find a logical error in my criticisms of russ_water's intitial position. The trajectory of his thoughts are indeterminable from his lack of response.
If TRUTH is "everywhere at the same time" then isn't it unique? Can there be more than one TRUTH? Of course there can be many truths, which are partially the TRUTH, but truths do not hold true 'everywhere at the same time'.
No, I'm not sure what your point is. You (and sticks) can only...
Ok, after more thought I will agree with you that HUP does not state that it is based on the limitations of human beings. I did not mean to say that, but after re-reading my post I can easily see how it could be interpreted that way.
What I meant to say is that HUP does not contradict the...
The title of this thread is, "in math, what is sometimes meant by 'Analysis'" - and the definition I provided is a direct answer to that question... IN TERMS OF MATHEMATICS!
IN MATH the term analysis means exactly what I described it as meaning. How many other disciplines try to break things...
yes... but if there is a computer C with normal computer functions and special X, Y, Z properties... wouldn't C still be a computer - and more than a computer?
That is a very dramatic statement but not exactly true. The Uncertainty Principle does not contradict a deterministic universe. Uncertainty rules out the possiblity of we humans, being limited and partial observers, being able to actually predict, with Certainty, the future, since we can never...
By "our logic" I assume you mean the logic that we as humans use in our practical everyday life and existance; "our logic" is fuzzy. In the discipline of formal logic the Law of the Excluded Middle is fundamental.
My main point is that we are 'the same' only within specific...
It is easy to create 'open' functions. In otherwords, a function that doesn't finish in a known amount of time. Like solving the game of chess: assuming it is possible, how long would it take? If you create a solar powered computer programed with an algorithm to solve this problem and it took...
it follows from the assumption that each point in 3D space is unique. For example: a point represented by coordinates (1, 2, 3) is different from a point represented by (0, 0, 0). Although you could rearrange a coodinate system so that within seperate systems different points have identical...
Since no one seems to care that everything is different, I figured I would say something slightly less obvious: Everything is a Computer.
I am, of course, speaking in the very metaphorical and abstact sense of a computer being any object that takes in a certain set of inputs, and, based on a...
thanks for the link! it was very informative
I see now, the equation results in a finite amount of positive values, all of which are prime... very impressive... I mistakenly thought you were refering to a polynomial which produces an infinite number of prime values. As the site says, "so...
Please don't tell me what to take interest in. I can agree that this post doesn't belong in the math section, it is more of a paranoid philosophy than math, but it is not entirely non-sense. Mathematicians and Mystics have occasionally had collaborations on the fringes of the academy...
The cardinality of the prime numbers is aleph-0, there exists a bijection with the Natural Numbers. I once sugested this exact conjecture with an old professor of mine and recieved a rigorus lashing on how math isn't relegion. Ha!
Analysis is the process of breaking down a proposition or theory to its fundamental propositions/assumptions, known in math as axioms.
The reverse of analysis is synthesis. In a synthetic aproach you start with basic assumptions/axioms and prove theories that follow from the given axioms...
The statement "Everything is Different" is different from the statement "Everthing is the Same"; they are not the same.
To say something is true is different from saying something is false. Logic can not exist if True is the same as False.
If the above statements are accecpted as things...
If you were the universe: who would YOU talk to?
If you were the universe: who would you let get to know you? Physicst, mathamatician, philosopher, or theologen? (if those are the only choices)
Oh Universe, YOU MAKE ME... feel so small!!