inator wrote:
Remember my classification of meaningful knowledge: 1) relations of our own concepts, tautology - analytic; or 2) knowledge about the external world - synthetic.
Here you suggest these things ARE knowledge (point 1)
But you said:
inator wrote:I'm not sure if refuting a self-refuting statement is actual knowledge. It might be some sort of tautology.
Here's the thing:
When you say such and such (referring to something in philosophy, mathematics, anything that's analytic) isn't actual/meaningful "knowledge", it comes off as very dismissive and insulting to those domains, which by any reasonable definition ARE knowledge, and are very important and meaningful knowledge to humanity at that. They are knowledge, and they are actual/true in any regard.
inator wrote:All analytic propositions are known a priori.
Yes, and they are knowledge.
Pi, the ratio of the circumference to the diameter of a circle, is 3.14159265...etc.
We didn't always KNOW that. The exact number wasn't part of the definition of pi, but it was deduced from the definition based on complex mathematical analysis. We gain knowledge every time we extract another significant figure for pi.
Knowledge is a familiarity, awareness or understanding of someone or something, such as facts, information, descriptions, or skills, which is acquired through experience or education by perceiving, discovering, or learning. Knowledge can refer to a theoretical or practical understanding of a subject. It can be implicit (as with practical skill or expertise) or explicit (as with the theoretical understanding of a subject); it can be more or less formal or systematic.[1] In philosophy, the study of knowledge is called epistemology; the philosopher Plato famously defined knowledge as "justified true belief", though "well-justified true belief" is more complete as it accounts for the Gettier problems. However, several definitions of knowledge and theories to explain it exist.
Knowledge acquisition involves complex cognitive processes: perception, communication, and reasoning; while knowledge is also said to be related to the capacity of acknowledgment in human beings.[2]
http://en.wikipedia.org/wiki/Knowledge
inator wrote:Because they are true (or false) just in virtue of the meanings of their definitions, we don’t need to check them against sense experience to know whether or not they are true.
No, not based on the meanings people think they have, not necessarily based on dictionary definitions, but based on the meanings they implicitly have based on logical examination; the meanings they must have in order to be consistent or meaningful.
Just like Pi. You can know more about pi, not by reading the definition, but by doing the work to discover it.
We don't need to check them against sense experience, but there's a distinction between a trivial tautology, like saying "all unmarried men are bachelors" and a more advanced philosophical position, like "Omniscience is logically impossible".
The former is knowledge about the meanings of words and their uses in society perhaps, but the latter goes beyond that by providing knowledge in contradictions to common beliefs, or giving people more knowledge about the innate nature of the subject than is transparently or that is by definition easily apparent to them.
If people think that there's an omniscient being in this world, the knowledge that such a thing is impossible is likely to be news to them. That's meaningful, and it's given meaning by human ignorance, or the shallow level of logical examination most people put to their beliefs.
In many ways, it can be said that logically deduced knowledge, a priori, IS the only true knowledge, and that empirical knowledge is just a guess or an approximation without the possibility of certainty.
That is, that your point #2 is not knowledge, and doesn't really exist.
inator wrote:2) knowledge about the external world - synthetic.
Try this on for size: "well-justified true belief"
How can you call empirical observations true, when you don't really know if they are true or false?
A priori knowledge is knowledge. And it can very well be knowledge about our world, just as it is knowledge about all possible worlds, our world being one of those.
Empirical "knowledge" has much more of a fight on its hands.
inator wrote:But necessary statements like that are empty (that is, they're not in themselves information about the world).
The ratio of a circle's circumference to diameter is 3.14159265...etc.
This IS knowledge, and it is information about our world. It also happens to be information about all possible worlds, of which our world is one.
Information about all possible worlds is also information about our world. It's just not exclusive to our world.
If you want to redefine knowledge, in classical no true Scotsman tradition, to be only information about exclusively our world that does not apply to any other possible world, you've created even a greater challenge for yourself: Now you have to prove that there IS a possible world in which a thing is NOT true, in order to claim it to be knowledge.
inator wrote:Knowledge about the external world depends primarily on synthetic statements - statements that may be true or may be false.
Inductive assumptions do, but knowledge about the external world -- true, certain knowledge -- never does.
inator wrote:There no Scotman's fallcy in my assigning your example of the internal contradiction of a particular concept to the first category.
It was when you said it wasn't knowledge.
Maybe you misspoke.
inator wrote:The first is still knowledge, it just doesn't directly give us information about the external world. [...]
The debate only starts with regard to propositions that contain synthetic information about the external world.
It does give us information about the external world, as I have explained. It tells us about what can not exist, it tells us what's not in the black box, it tells us about ratios and relationships, and sometimes it also tells us what does exist by necessity, or what exists in terms of probability (and probability of truth is all empirical analysis ever gives you either).
And now you clarify "synthetic information about the external world" -- so what is it? Do you deny that analytic information about the external world exists, or accept that there are two kinds of information about the external world, only one of which being synthetic?
inator wrote:We know based on experience that it is more plausible that knowing things about the external world includes the empirical element.
That's just induction, and BAD induction. "All apples are red". You don't know it, you just assume it on the grounds of ignorance. "I haven't seen any green apples, therefore they don't exist".
And the only way you THINK you've experienced that, is because you've arbitrarily decided that green apples aren't real apples, but are tautologies instead.
inator wrote:That's how science and induction seem to work, it's pretty straightforward.
No, it doesn't. Science doesn't make such negative claims based on lack of evidence. Absence of evidence is not evidence of absence.
That kind of thinking is a parody of science, one which theists and new agers attack to try to show how arrogant science is (without understanding how science really works).
inator wrote:If cognitive processing is not dependent on information acquired from the senses, where is it from?
It doesn't matter where it's from. It's just information processing.
inator wrote:Logic/deduction is the tool by which you derive truths from other truths, but how do you get that initial truth?
The a priori knowledge of logic itself is all you need.
Contradictions can prove an apparent 'possibility' false. And the process of elimination can prove the only remaining possibility true. You can derive true information strictly from logic, it's just cognitively difficult.
inator wrote:Is it spontaneous intuition? Was the truth with us all along, as in innate ideas? Divine inspiration?
No, it's reasoned. The root of truth may have been, but it takes hard work and reasoning to unpack it. Although you could, as a cave man, have figured out pi to a billion places, invented calculus, etc. you would be limited in executing that based on your capacity for creative thought and information processing.
inator wrote:Saying you know by intuition that you know by intuition is pretty redundant.
What are you saying? Do you just outright deny logic? Do you deny the law of non-contradiction? Because it's redundant, to you, it's wrong?
inator wrote:Naturally, if you claim some truths are innately known to us, one must reject skepticism in relation to those truths.
It's not because I claim they are, it's because they are. And Skepticism has no meaning without them.
We must be open minded, but not so open minded that our brains fall out. Accepting the law of non-contradiction is as open minded as you can be, because by questioning it, you become closed minded to the possibility of any kind of truth.
inator wrote:Which makes empiricism simpler (Occam's razor).
No it doesn't, empiricism relies on logic and the law of non-contradiction to make any sense and tell us anything of any use or meaning at all. Denying the validity of logic is not simpler. That's absurd.
There are some things, like logic, that we simply know. And skepticism of those things is self-defeating. You can't be skeptical of logic.
inator wrote:To know a proposition, we must believe it and it must be true, but something more is required, something that distinguishes knowledge from a lucky guess. We can form beliefs just by making lucky guesses. How to gain warranted beliefs is less clear.
Not really less clear. A belief is strongly justified if it is known by logical deduction, as I have explained, from logic alone. A negative belief (that something is impossible, as logically demonstrated through contradiction), or a positive belief by way of the process of elimination.
inator wrote:Moreover, to know the world, we must think about it, and it is unclear how we gain the concepts we use in thought or what assurance, if any, we have that the ways in which we divide up the world using our concepts correspond to divisions that actually exist.
Irrelevant, at least regarding logical thought. Skepticism of logic is self defeating.
inator wrote:Any intellectual faculty, whether it be sense perception or intuition, provides us with warranted beliefs only if it is generally reliable.
False. Logic is inherently reliable as long as it is valid, and so inherently justified. There are no means by which to demonstrate it unreliable (if it conflicts with observation, then observation is wrong).
Sense perception is inherently unreliable, or the reliability is unknown. Are we brains in vats? You don't know.
inator wrote:The reliability of sense perception stems from the causal connection between how external objects are and how we experience them.
It's an assumption you make, but you don't know that.
inator wrote:The MWI example is not going to cut it, since it's clearly a concept derived from Schrodinger's equation, which in turn interprets the observed quantum state.
You might as well say "The law of non contradiction isn't going to cut it, because it's clearly a concept derived from the observation of things not contradicting each other".
Or "Natural selection isn't going to cut it, because it's clearly derived from Darwin observing finches."
Or worse yet, "Pi isn't going to cut it, because it's clearly derived from somebody taking a measuring string and measuring something circular"
No, no it isn't. Not inherently, not necessarily. These things can be independently arrived at by many means.
Observation can set us on the path to a Eureka moment, showing us something inherently logical that we just didn't figure out because of those things not being very intuitive to humans.
These concepts, beyond being logically valid and necessary, may be additionally (and unnecessarily) supported by empirical data.
They don't derive their authority strictly from empirical observation.
inator wrote:Assuming that we fully understand the quantum state and that there are absolutely no incoherences in the derivation of the MWI, we can say that it's true. But it's not yet clear whether those conditions are fully met.
It can be known to be true due to the process of elimination. There are no viable alternatives.
inator wrote:Would an ancient greek have been able to come up with special relativity? Sure, had/she he been genious enough to put all the signs together (possibly working with less observations than what was available later through technology, but still inducing ideas from observations) and develop all the concepts underlying SR on his own and then also derive SR.
You don't need any signs. You just need to question the concept of objective velocity on logical grounds. You create relativity by tearing down our seemingly intuitive (but wrong) assumptions, and building only what can be substantiated by logic.
inator wrote:What would he be trying to explain had there been no (observation of the) phenomena?
He wouldn't, that's the problem -- motivation. When we assume false intuition to be true (like deities), it stops us from exploring and trying to solve the real questions.
We only discover these things when observations destroy the holy temples of our false intuitions, because that's the only time we start thinking about them in different ways. BUT if you were to abandon those assumptions without the discovery (find the motivation to do so, despite the comfort of pretending to know), you could reason the same without any of the empirical data you assume to be necessary.
It's not that logic is dependent on empiricism, it's that the act of
thought is dependent on confusion and removing the false assumptions of bad intuition, and conventionally, only observations have been strong enough to do that. When an argument against an irrational assumption is merely logical, it's easy for people to ignore or brush under the rug.
inator wrote:It’s a serious idea and it deserves serious discussion, however I don’t think that the case for MWI is a slam-dunk. I view it as a candidate for reality, but we haven't reached the point where we can move it from candidate to settled. Occam’s razor seems like a tough call on these interpretations.
What do you think the alternatives are, exactly?
Hidden variable? Whether god or quantum foam - you get the logical problem of infinite regress. Unacceptable. Next:
Copenhagen. You get dice, which is a serious philosophical problem of its own -- from whence comes chance? You also get the bizarre assumption of wave function collapse, which coupled with relativity paints an Earth-centric universe (which is its most obvious downfall). By what means can we assert that we are the center of the Universe? Where did that push-pin come from, that cemented the one true reality on us lowly humans? Another variable, with another lingering question demanding infinite regress.
MWI is all you have left. It wins by default. Not because it's proven true, but because every alternative is false.
inator wrote:I like your statement that MWI is the interpretation of QM with the least baggage, but I believe the ensemble interpretation might have even less baggage as it doesn’t assume the wavefunction ontologically represents any individual system, but instead the abstraction of that system. This seems more in-line with mathematics as a description and not fundamental in the universe. And the latter position might carry more baggage. I’m not sure of the answer, but dismissing the concern as silly seems unjustified.
Remember when we talked about accuracy and precision? This.
Ensemble is an "interpretation" that stops short of trying to really interpret the relevance of the mathematics to reality. It's a bit of a non-interpretation.
Wikipedia says it as well as I could:
http://en.wikipedia.org/wiki/Ensemble_interpretation
The ensemble interpretation, unlike many other interpretations of quantum mechanics, does not attempt to justify, or otherwise derive, or explain quantum mechanics from any deterministic process, or make any other statement about the real nature of quantum phenomena; it is simply a statement as to the manner of wave function interpretation.
It is not preferred by Occam's razor, because it's relaying an incomplete picture of what quantum mechanics mean. It's very nearly tautological.
inator wrote:The problem as I see it is that branches separate too fast and too chaotically for there to be that many consistent macroscopic objects at all. There might already be an explanation for this.
There aren't really "branches", it's just a wave function. A branching tree is just an easy way to explain it to a layman.
inator wrote:But more importantly, if probabilities can be meaningfully assigned to branches, then the theory is explanatory. But how can it make sense to talk of probabilities (other than 0 and 1) at all, since all 'possible' outcomes do (certainly!) occur?
Maybe you just explained/phrased this unclearly, but I'm getting the sense that you don't understand wave functions very well. Look into electron clouds to understand probability density better.
For sake of illustration, we'll assume that probabilities come in 10% increments (not true, and neither are "branches" exactly, but it's an easy way to illustrate).
That means that for event X, there are 10 "branches".
If something has a 50% probability, then it represents 5 of those branches. Something with 30% represents 3 branches. Something with 20% represents 2.
The number of universes for any outcome is proportional to its probability.
inator wrote:Assertions like 'the probability of spin-up will be 2/3' would be incoherent.
No, it's more like: "the probability of us being in a universe in which this is spin-up is 2/3"
I encourage you to read more on MWI.
inator wrote:The truth is we're not discussing new concepts here and we're probably not going to end this age-old epistemological debate.
Well, it really depends on how much stock you put in logic. If you're skeptical of logic, there's nothing that can be done about that, because you can't reason with a premise rejecting reason itself. If misunderstood you, and you accept logic, we can come to terms.
