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Agathon is offline Agathon
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Dec 2002
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  Old Post 25-12-2003 03:29
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quote:
Originally posted by skywalker
I do believe there are certain provable objective truths, but I don't believe that an objective universe (like with particles and stuff ) is provable. Mathematics and stuff is objective because you can prove false all alternatives.


But is that a result of some facts about the external world, or is it merely a feature of our conceptual apparatus. I mean this, are mathematical truths just forced on us by the way our brains are constructed, or by a conceptual scheme?

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  Old Post 25-12-2003 03:31 Visit Whaleboy's homepage!
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Or both?

Like you said a while back, "intellectual masturbation".

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  Old Post 25-12-2003 03:49
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quote:
Originally posted by Whaleboy
Or both?

Like you said a while back, "intellectual masturbation".


Actually, I believe the whole question is ill-formed. I don't believe that there are such things as conceptual schemes. There isn't anything we could point to that makes mathematics special other than the fundamental role that it and logic plays in our reasoning.

The reason I believe this is that I don't think we can separate off the factual and linguistic contributions to the truth value of any proposition in such a way that we can distinguish logical and mathematical statements as somehow being different in kind from ordinary empirical judgements. The difference is in what we do with them, rather than what they are of themselves.

In the early 20th century most philosophers believed that for any statement to be true, two things had to be the case: (1) it consisted of signs that made it mean something (i.e made it capable of being true or false); and, (2) it bore a relation to the world that made it (actually) true or false.

After Quine's Two Dogmas of Empiricism was published in the 50s this view came under suspicion. This is the seminal paper of 20th century philosophy and it attacks the notion that we can neatly parcel out the linguistic and factual contributions to the truth value of individual propositions by attacking the notion of analyticity (the idea that statements can be true, purely by virtue of the meanings of their terms). If analyticity cannot be defended and Duhem's thesis is true (all theories are underdetermined by the evidence) which it seems to be, then pragmatism is the only reasonable solution.

You can read this great paper, here:

http://www.ditext.com/quine/quine.html

Kuciwalker is offline Kuciwalker
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  Old Post 25-12-2003 03:55
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quote:
I don't believe it requires universal knowledge to create a meaningful philosophy, though I will further explore that just for you , its always been my disposition that it was not required. An example of such a meaningful idea based upon my supposition is as follows:

You know nothing for certain -> You cannot be certain of your own correctness -> You have only thoughts for yourself and these are not ultimately true -> You create your own philosophy but respect that it is merely an extention of your mental condition and need not apply ultimately, or for others. I dont know about you guys but I'm perfectly fine about that, but then, I have been exposed heavily to Buddhist notions of non-permanence, and tantric notions of enjoyment of the moment vs anticipation.


What I meant was that universal knowledge has nothing to do with what I was talking about. I was only talking about the rules the stuff in the universe obeys

quote:
But is that a result of some facts about the external world, or is it merely a feature of our conceptual apparatus. I mean this, are mathematical truths just forced on us by the way our brains are constructed, or by a conceptual scheme?


No, they are true no matter what you do. They do not derive their truth from the universe.

Agathon is offline Agathon
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  Old Post 25-12-2003 04:00
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quote:
Originally posted by skywalker

quote:
But is that a result of some facts about the external world, or is it merely a feature of our conceptual apparatus. I mean this, are mathematical truths just forced on us by the way our brains are constructed, or by a conceptual scheme?


No, they are true no matter what you do. They do not derive their truth from the universe.


That's evading the question....


But what makes them true then?

Relations between real immaterial entities? (platonism)

The meanings of the terms themselves? (they are tautologies)

Something else? (the biology of our brains)

Kuciwalker is offline Kuciwalker
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  Old Post 25-12-2003 04:21
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quote:
But what makes them true then?

Relations between real immaterial entities? (platonism)

The meanings of the terms themselves? (they are tautologies)

Something else? (the biology of our brains)


Yes, partially yes, no.

btw, I'm not a Platonist (or whatever you call a person who believed in all that stuff).

However, since our mathematical system is the only one that isn't internally inconsistent, it must be "true".

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  Old Post 25-12-2003 04:25 Visit Whaleboy's homepage!
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Its christmas eve people. Get drunk!

I am prepared to philosophise 364 days of the year.

Agathon is offline Agathon
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  Old Post 25-12-2003 04:28
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quote:
Originally posted by skywalker
quote:
But what makes them true then?

Relations between real immaterial entities? (platonism)

The meanings of the terms themselves? (they are tautologies)

Something else? (the biology of our brains)


Yes, partially yes, no.

btw, I'm not a Platonist (or whatever you call a person who believed in all that stuff).

However, since our mathematical system is the only one that isn't internally inconsistent, it must be "true".


But what makes it inconsistent? What about non-euclidean geometries, those are consistent?

Kurt Godel, one of the most respect mathematicians ever, was a Platonist.

Kuciwalker is offline Kuciwalker
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  Old Post 25-12-2003 07:01
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quote:
But what makes it inconsistent? What about non-euclidean geometries, those are consistent?


Internally inconsistent. I hope you know what makes something that

Anyways, non-euclidean geometries aren't mathematical systems, they're geometries. And yes, they are also internally consistant (and may even be "true" wrt the real world).

Agathon is offline Agathon
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  Old Post 25-12-2003 07:08
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quote:
Originally posted by skywalker
quote:
But what makes it inconsistent? What about non-euclidean geometries, those are consistent?


Internally inconsistent. I hope you know what makes something that

Anyways, non-euclidean geometries aren't mathematical systems, they're geometries. And yes, they are also internally consistant (and may even be "true" wrt the real world).


And people have developed counter-logics that are internally consistent.

And you still haven't told me what makes it inconsistent.

Kuciwalker is offline Kuciwalker
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  Old Post 25-12-2003 07:31
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quote:
And people have developed counter-logics that are internally consistent.


People have developed internally consistent mathematical systems other than the one we use?!

quote:
And you still haven't told me what makes it inconsistent.


Gah! Internally inconsistent. That means that it invalidates on of it's conclusions, or in the case of mathematics states something like 1 = 2.

Agathon is offline Agathon
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  Old Post 25-12-2003 08:16
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quote:
Originally posted by skywalker
quote:
And people have developed counter-logics that are internally consistent.


People have developed internally consistent mathematical systems other than the one we use?!


Counter-logics. I suppose if you're a logicist that allows for alternative mathematics.

quote:
quote:
And you still haven't told me what makes it inconsistent.


Gah! Internally inconsistent. That means that it invalidates on of it's conclusions, or in the case of mathematics states something like 1 = 2.


That doesn't make any difference. All I need to do is formulate a series of symbols and a set of rules. That can be quite arbitrary.

You still haven't answered the question. What makes our mathematical system consistent other than that we can't seem to conceive of breaking the rules. I can't imagine non-euclidean spaces either, but that doesn't mean there can't be such things.

What do you appeal to, to ground your belief that our mathematical system is the only consistent one?

Appealing to our intuitions isn't much of a hope, the fact that we can't imagine something is no proof of its non-existence.

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Mar 2002
time: 23:32
  Old Post 25-12-2003 09:14
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quote:
Keep philosophising and communicating, the world needs more that do!


Funny, I would've thought we'd need useful, productive members of society, instead of more philosophers.

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May 1999
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  Old Post 25-12-2003 11:35
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quote:
Originally posted by skywalker
(2) Premise: The universe obeys deterministic physical laws.


Quantum Physics is not deterministic.

quote:
Originally posted by skywalker
This is also wholly unprovable. However, without deterministic laws, the universe is random


Probabilistic is not the same as random. Even Thermodynamics are statistically based.

quote:
Originally posted by skywalker
and it again seems impossible to formulate a meaningful philosophy without causality.


So? You are just putting the cart in front of the horse.

quote:
Originally posted by skywalker
In fact, the case where the universe is not deterministic seems very similar to the case where the universe is not objective.


Huh?

quote:
Originally posted by skywalker
(3) Premise: That which is not self-aware cannot independently come up with the concept of self-awareness.


Unless you are saying that there could be a non-self-aware intelligence.

quote:
Originally posted by skywalker
(4) (Whatever you call a conclusion derived from other stuff, hereafter "Theorem"): Self-awareness is an "emergent property" (I think that's what it's called) of matter that arises naturally out of various forms it can take, by (2).


Well, self-awareness either came from matter alone, or it came from something else. Being a materialist, there's not something else.

Sava is offline Sava
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Mar 2001
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  Old Post 25-12-2003 11:49
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our intelligence is a function of our biology... I doubt silicon chips with alternating switches 0 and 1 can become sentient intelligence.

but it may be possible in the future to create computers using bio-matter that functions like biological brains while maintaining or exceeding the mathematical computing power and speed of current computers.

anyways, I'm not even sure humans are self-aware. Computers have to be programmed, or else they don't function. I don't believe that an "intelligence" that has to be programmed can qualify as "self-aware". ANd since humans are pretty much programmed, who says we are self-aware? We may think we are self-aware, but perhaps our intelligence and personality is simply a reflection of our "programming" and learned experience.

For a machine to be considered "self-aware" it should be constructed in a such a way that it requires no programming. It would have to have input sensors, perhaps similar to our own senses... and then it would be "turned on" and have the ability to learn and develop a personality and consciousness based upon its experience.

Since human beings have two factors affecting our "programming": genetics and society (education and conditioning); it is quite possible we do not possess sentience. As Uber said, we are just smart apes. By comparing our genetics, we are not that different from apes. In fact, perhaps there is an advanced form of life that is much more evolved and intelligent than ourselves. Would that intelligence consider us to be "intelligent"? Or would it look down upon us as we do animals?

Kuciwalker is offline Kuciwalker
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  Old Post 26-12-2003 23:25
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quote:
Counter-logics. I suppose if you're a logicist that allows for alternative mathematics.


What's a counter-logic?

quote:
That doesn't make any difference. All I need to do is formulate a series of symbols and a set of rules. That can be quite arbitrary.

You still haven't answered the question. What makes our mathematical system consistent other than that we can't seem to conceive of breaking the rules. I can't imagine non-euclidean spaces either, but that doesn't mean there can't be such things.

What do you appeal to, to ground your belief that our mathematical system is the only consistent one?

Appealing to our intuitions isn't much of a hope, the fact that we can't imagine something is no proof of its non-existence.


Every other mathematical system results in a statement like 1=0 or something like that. Thus, every other mathematical system is internally inconsistent. Thus, ours is true.

quote:
Probabilistic is not the same as random. Even Thermodynamics are statistically based.


Yes it is. If I roll a weighted die, it's still random, even if the probabilities are skewed.

quote:
So? You are just putting the cart in front of the horse.


Remember, I'm not proving that it's is, in fact, deterministic. I'm showing that it is a necessary assumption. Since I'll get nothing meaningful if I assume the universe is random, I might as well assume otherwise.

quote:
Huh?


If the universe is random enough, it would seem very dream-like and so it would seem more likely to be subjective

quote:
Well, self-awareness either came from matter alone, or it came from something else. Being a materialist, there's not something else.


I'm using the term "matter" poorly here. By "matter", I mean "stuff that exists". So, for example, Democritus' "soul-atoms" would count as matter. What I'm really saying is the universe can't get stuff from outside itself.

Kuciwalker is offline Kuciwalker
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  Old Post 26-12-2003 23:27
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quote:
Originally posted by Sava
our intelligence is a function of our biology... I doubt silicon chips with alternating switches 0 and 1 can become sentient intelligence.

but it may be possible in the future to create computers using bio-matter that functions like biological brains while maintaining or exceeding the mathematical computing power and speed of current computers.

anyways, I'm not even sure humans are self-aware. Computers have to be programmed, or else they don't function. I don't believe that an "intelligence" that has to be programmed can qualify as "self-aware". ANd since humans are pretty much programmed, who says we are self-aware? We may think we are self-aware, but perhaps our intelligence and personality is simply a reflection of our "programming" and learned experience.

For a machine to be considered "self-aware" it should be constructed in a such a way that it requires no programming. It would have to have input sensors, perhaps similar to our own senses... and then it would be "turned on" and have the ability to learn and develop a personality and consciousness based upon its experience.

Since human beings have two factors affecting our "programming": genetics and society (education and conditioning); it is quite possible we do not possess sentience. As Uber said, we are just smart apes. By comparing our genetics, we are not that different from apes. In fact, perhaps there is an advanced form of life that is much more evolved and intelligent than ourselves. Would that intelligence consider us to be "intelligent"? Or would it look down upon us as we do animals?


How is our intelligence a function of our biology? You are getting very close to having me ask you for a universal definition of life . The sole qualitative difference between computers and people is that computers are digital and people are analog. However, people are still computers, and if you simulated a person with a computer...

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  Old Post 26-12-2003 23:41
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quote:
The sole qualitative difference between computers and people is that computers are digital and people are analog.
if you believe this, you need to take a few biology courses...

I don't expect you to have extensive knowledge of the brain, but the human brain (or any other biological life form's brain) fuctions COMPLETELY DIFFERENTLY from a computer. A computer is just a large collection of switches... 0 and 1's... a living brain is a very complex organ with lots of different kinds of cells and neurons functioning in way that humans don't yet fully understand.

Sorry, but to say there is only one "qualitative difference" between computers and people is that computers are "digital and people are analog" is completely false.

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  Old Post 26-12-2003 23:47
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quote:
Originally posted by skywalker
quote:
Counter-logics. I suppose if you're a logicist that allows for alternative mathematics.


What's a counter-logic?


A logic that is internally consistent, but not consistent with our ordinary propositional calculus. Graham Priest's dialethic logic is an example.

quote:
That doesn't make any difference. All I need to do is formulate a series of symbols and a set of rules. That can be quite arbitrary.

You still haven't answered the question. What makes our mathematical system consistent other than that we can't seem to conceive of breaking the rules. I can't imagine non-euclidean spaces either, but that doesn't mean there can't be such things.

What do you appeal to, to ground your belief that our mathematical system is the only consistent one?

Appealing to our intuitions isn't much of a hope, the fact that we can't imagine something is no proof of its non-existence.


Every other mathematical system results in a statement like 1=0 or something like that. Thus, every other mathematical system is internally inconsistent. Thus, ours is true.. [/QUOTE]

Yes, but 1=0 seems wrong to us, but other than it's seeming wrong to us, what can you appeal to to ground your belief that it can't be right?

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  Old Post 27-12-2003 00:00
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quote:
A logic that is internally consistent, but not consistent with our ordinary propositional calculus. Graham Priest's dialethic logic is an example.


So you are saying there is another internally consistent mathematical system?

quote:
Yes, but 1=0 seems wrong to us, but other than it's seeming wrong to us, what can you appeal to to ground your belief that it can't be right?


1=0 is an inconsistency. Numbers and the mathematical system are two different things. Each number is distinct.

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  Old Post 27-12-2003 17:51 Visit Whaleboy's homepage!
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quote:

Funny, I would've thought we'd need useful, productive members of society, instead of more philosophers.


Ah, the screams of those who do not understand. I use the analogy of a car. Most people work in the engine. A few are the drivers and backseat drivers. The historians are the rear-view mirror. Some are the headlights...

I concur with Agathon. The logic we use is a construct and based upon axioms that can change. The people we need to talk to here are computer scientists. Those who can program a computer to use the logic of + and -, as they are the ones that have to tell a computer in binary code, what to do in that situation.

Sky: What you're doing is looking at the possibility of other logical systems within the confines of your own. In effect, viewing it with tinted glasses, thus reaching your conclusion. Logic A says logic B cannot exist. I believe you can use logic A to prove logic B, but thats is beyond me, hence I posted the question on Ektopos:

http://www.ektopos.com/modules.php?...=viewtopic&t=33

This is clearly a topic that needs resolution.

Last edited by Whaleboy on 27-12-2003 at 18:05

LDiCesare is offline LDiCesare
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Jan 2001
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  Old Post 27-12-2003 21:10
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A Perfect Vacuum.
This is the title of a book by Stanistlaw Lem, in which there is a nice short story where a computer scientist creates a computer simulation, using something like genetic algorithms and a mathematical model for a deterministic infinitie world in which self aware beings exist. They don't know whether they are a simulation or not. In fact they are not a simulation, they are a creation. Nothing proves our world is not the result of something running on some computer. Lem uses this to ask questions about God and has written several other stories along the same theme.

About different mathematics:
There ARE different mathematics. For instance, the one whose axioms are the groups theory (not sure about the words, in French, Theorie des ensembles) can prove Euclide's postulate about only one parallel line going through one point. Non Euclidian geometries are still valid, but different mathematics, because what you call a line in these mathematics is not the same thing as what you call a line in ensemble theory mathematics.
Even in our math system you may or may not accept the axiom of the 'choice', which I don't feel able to explain here, particularly in English. There's no proof the math with or without this axiom is inconsistent. It is needed, or at least useful, for certain demonstrations, but if it was false, many mathematical results would remain unchanged.

An example of different logical systems: True/False/Maybe. The Maybe state tends to absorb almost everything, but it makes for a different logic. There are also logics in which you keep true/false but refuse the proof by contraposition, which vastly reduces the array of tools available to demonstrate anything.

About randomness/probability of quantum physics: Quantum physics are the way we measure the world. By interacting with it, we change it (Heisenberg: no measuer can be perfect). It doesn't mean the underlying world is not perfectly determinsitic. It may very well be deterministic but impossible to measure. In which case, it is impossible to build a deterministic scientific theory (which relies on measures) to explain it. But it doesn't mean it's not deterministic. It just means we can't make a deterministic simulation of it, only a probabilistic one.

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  Old Post 27-12-2003 21:12
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quote:
but it may be possible in the future to create computers using bio-matter that functions like biological brains while maintaining or exceeding the mathematical computing power and speed of current computers.


This actually isn't necessary. What your forgetting is that anything that can be created in hardware can be also be created using software as well. So while computers are built to do certain functions faster then others, that doesn't in anyway rule out building a artificial brain in a computers software using ordinary silicon technology. In fact people create neural nets all the time, and these can be programmed to analyze certain sets of data which changes the weights of the "neurons" connections to other neurons, and thus after interpreting sets of data a neural net can fill in the blanks when future data is given or make future predictions based off of current data.

There are only two limitations to making an artificial brain, one is that we don't have all the details of how a real brain works, and second is that we would need a machine capable of keeping track of a trillion plus neurons and the connections as well as the weight of those connections they make to other neurons. There's also a third practical limitation of the computers speed. While sentience can be slowed to any speed in theory, it still isn't practical to wait a million for the brain to cycle through a throught.

As for humans being sentient, we are to a certain extent, since we are aware not only of our physical state of being, but of our own state of mind. Thus there is at least some feed back in our thought process. This by the way can also be mimiced by a neural net. Of course we can't be fully aware of our state of mind or else we'd also be aware of the part of our mind that was monitoring the state of our mind, and thus would require level of awareness above that, that would also have to be monitored, ad infinitum.

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  Old Post 27-12-2003 21:31
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quote:
Originally posted by Agathon


The denial of this premise is usually a consequence of global scepticism. However, global scepticism has in my mind been conclusively refuted by the American philosopher, Donald Davidson...The beauty of the last argument is that all you have to agree to is the notion that it omniscience is possible (and there seems no uncontroversial reason why not), and by the very nature of belief, it turns out that scepticism is false.


This is interesting in that I read the other day an interpretation on how scientists works that sort of fits in to how Donald Davidson interprets scepticism and belief.

The basis is that all scientists have a shared set of beliefs about naturalism that allows them to function. They then specialize in certains areas of science different then what other scientists are doing, usually learning as a master-apprentice relationship. Lets say you have scientist A-Z, and scientist L makes a discovery. How do the other scientists know whether scientists L's discovery is valid? well, Scientist M's specialty happens to overlaps L's, and so do K's. Both interpret his work and decide if it's valid and legitimite science. Then scientist I and Scientist N look at what Scientist L and M has done to see if that is valid, and so on until you get to scientists A and Z who have no real knowledge of Scientist's L's specialty but rest assured that his work is valid because it's been validated by a series of peers thatt knowledge all overlaps each other. Thus by starting out sharing a series of beliefs, scientists can work together to continue to determine the validity of future statements even though no one person can see the whole picture.

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  Old Post 27-12-2003 23:32
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quote:
Originally posted by Agathon
Well, Davidson has an answer for that. If you agree that it is possible (not actual, but possible) for there to be someone omniscient, then it follows from the argument that that person must find all of our beliefs to be largely true, and since he's omniscient, that means most of our beliefs have to be true, so scepticism must be false.

The beauty of the last argument is that all you have to agree to is the notion that it omniscience is possible (and there seems no uncontroversial reason why not), and by the very nature of belief, it turns out that scepticism is false.


Actually, there is an argument against the possibility of omniscience. It's the fact that you simply can't fit the knowledge of all that is the universe into something that is not the universe.

Your argument up there stated that an individual - someone distcint and separate from other individuals, and thus not omnipresent - was omniscient, and that doesn't really hold. An individual that is not omnipresent is necessarily finite, and so cannot hold the data set of the universe.

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  Old Post 27-12-2003 23:36
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Skywalker

quote:
The thing is, everything is either deterministic or random. So, if you think determinism elimininates free will, well, that sucks. Because if so, "random" eliminates free will too, so your conclusion is that there is no free will.


There are non-algorithmic processes, neither random nor deterministic.

Urban Ranger

quote:
Well, self-awareness either came from matter alone, or it came from something else. Being a materialist, there's not something else.


Explain, in material terms, the colour green.

Material reductionism is a superstition.

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Sky: Free will, in the existentialist sense or the subjectivist sense?

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  Old Post 27-12-2003 23:52
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quote:
Originally posted by Park Avenue
Skywalker

There are non-algorithmic processes, neither random nor deterministic.


No, there aren't. A (closed) system ALWAYS behaves in one of two ways: either a) given the total state of the system at a moment in time, you can predict any future state of that system or b) you cannot. The first is deterministic and the second is random. There is no alternative.

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  Old Post 27-12-2003 23:53
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quote:
Originally posted by Park Avenue
Explain, in material terms, the colour green.

Material reductionism is a superstition.




Easy: a fuzzy set (in that not everyone would define it with EXACTLY the same bounds) of the wavelengths of light between two values (which I won't specify because I don't know them).

Park Avenue is offline Park Avenue
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  Old Post 27-12-2003 23:55
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quote:
No, there aren't. A (closed) system ALWAYS behaves in one of two ways: either a) given the total state of the system at a moment in time, you can predict any future state of that system or b) you cannot. The first is deterministic and the second is random. There is no alternative.


So please tell, which is the reduction of the quantum mechanical state vector?

 
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