H
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infinity is a concept, not a number. define algorithm?
peace
peace
How does one know that the ‘facts’ on which philosophy is based are actual facts about a real, extant world/universe?
There are no such things as “facts” about the natural world, there are inductive beliefs, that may be upended at any time by one contrary observation. Empiricism is a logical contradiction, which makes it an impossibility. One would be more intelligent to believe that Santa Claus, The Tooth fairy, and the Easter Bunny exist, they are at least a possibility, a logical contradiction is not.
Also, I thought axioms - at least in terms of epistemology - were necessary starting points for reasoning or for building knowledge that can’t be explicitly verified but can also not be explicitly denied without contradiction. For example, I could deny that I exist, but then who would be there to do the denying?
Brother Spock - at some point you will have to step somewhat out of your strictly analytical and digital 1-0 thinking and actually begin to let go and listen to and begin to try to trust that tiny whisper of faith that is inside you (I know it’s there, Spock). Faith and wisdom go together and wisdom comes from faith in what you cannot COMPLETELY, with STRICTLY human logic, begin to fathom or understand. The “whole reality” is beyond our digital, logical understanding. Here’s a question: what is the difference between logic (or knowledge) and wisdom (or faith)? I asked you that question before and jokingly referred to tomatoes and a fruit salad.My question is: What is the methodology or algorithm of “faith”? How do we know that the results of this algorithm conform with the “whole reality”?
Induction is how most humn learning is done. We build on our knowledge, step by step. I have never heard of all knowledge being disproved by another observation. Take for instance the developments of science. God still exists!No matter how many inductions you have, they can all be proven false by one new observation. I have heard that before. What if an observation comes along and disproves all previous inductions in a series? I would call that totally reprogramming…making it just a matter of perception ignores the inductive turkey story.
From where does philosophy derive its facts?/QUOTE]
One technique in philosophy is the transcendental argument. That is, we determine the conditions of possibility for things we already know. For example, Kant will argue that the totality of time and space must be given to us a priori in order for us to be able to specify a date, like March 29, 2011 … a similar conditions-of-possibility argument applies to space, e.g., to know that a particular apple is on a particular table over there, one must already be aware of the totality of space. You cannot build up time and space from inductive bits and pieces. The a priori awareness of time and space is synthetic, not analytic. In analytic statements, the predicate is contained in the subject, e.g., “all bachelors are unmarried”. Time and space as predicates are not analytic; they add “new” information, like saying “the grass is green” because grass can also be brown, etc. But we do not find out about time and space inductively (a posteriori) but a priori. Inductive statements are synthetic a posteriori.
Quine and many others have argued against the synthetic a priori. But Heidegger employs something like it in his book on Being and Time.
Warpspeedpetey:Whats the point you are trying to make?
Whoops, I messed up the quote and didn’t notice. I was wondering what point jack was trying to make. Sorry.Warpspeedpetey:
I’m not sure your question is addressed to me … but I’ll be glad to clarify my posting … the discussion brought up “facts” in philosophy … in the context of tools of epistemology …mention was made of “facts” in philosophy … the notion of “philosophical” facts is somewhat ambiguous … especially in light of one type of argument … the transcendental argument … which presupposes that you are already in possession of certain truths (or facts) … the transcendental argument asks about the conditions that makes possible already existing knowledge …
In this reading, philosophy itself does not establish “new” facts … is only a buttress for old ones …
There are no such things as “facts” about the natural world, there are inductive beliefs, that may be upended at any time by one contrary observation. Empiricism is a logical contradiction, which makes it an impossibility. One would be more intelligent to believe that Santa Claus, The Tooth fairy, and the Easter Bunny exist, they are at least a possibility, a logical contradiction is not.
This does kinda make sense, even to someone with my infant knowledge of philosophy.Sair;7702217:
One technique in philosophy is the transcendental argument. That is, we determine the conditions of possibility for things we already know. For example, Kant will argue that the totality of time and space must be given to us a priori in order for us to be able to specify a date, like March 29, 2011 … a similar conditions-of-possibility argument applies to space, e.g., to know that a particular apple is on a particular table over there, one must already be aware of the totality of space. You cannot build up time and space from inductive bits and pieces. The a priori awareness of time and space is synthetic, not analytic. In analytic statements, the predicate is contained in the subject, e.g., “all bachelors are unmarried”. Time and space as predicates are not analytic; they add “new” information, like saying “the grass is green” because grass can also be brown, etc. But we do not find out about time and space inductively (a posteriori) but a priori. Inductive statements are synthetic a posteriori.From where does philosophy derive its facts?
Quine and many others have argued against the synthetic a priori. But Heidegger employs something like it in his book on Being and Time.
david friol keeps resurrecting them.Why are so many old threads started by Spock being talked about all of a sudden?![]()
warpspeedpetey;7702597:
something, and I’m not sure what other source we could have for the content of our thoughts than experience. …We still have Logic. the basis of all Mathematics, Metaphysics, etc. We haven’t really lost anything but the false idea that only empirical evidence proves anything. People often confuse the empirical method used in the scientific method for philosophical empiricism. It pokes ahuge whole in the new atheists arguments which all depend at some point on proof by empirical evidence.If empiricism is a logical contradiction, then we’re pretty much stuck as far as I can see. Reasoning must be reasoning about
Mathematicians do use various axioms in the way your friend described, but all axioms are inductions at some point and therefore suspect…they can be overturned at anytime by a contradictory observation. So whereas Cogito is rock solid to me, all other axioms are not in the same class of certainty…As I have examined these issues, I become more and more a rationalist. Maybe not perfectly so, but it seems to me that the truth of logical systems such as mathematics is independent of physical reality. Not to be a Platonist about it. there are no glowing forms of truth in the sky, but rather some quality of truth seems to be independent of it physical expression. You might have some fun looking at Godels theoroms on the matter.The cogito is pretty much the only axiom I’m aware of, in terms of epistemology, but then my formal philosophical knowledge is still very much a work in progress. I was under the impression that mathematicians have various axioms…
. As axioms are inductions I despair of the true validity of any foundational belief apart from Descartes. Some people even question Descartes jump from " I doubt" to “I exist” because it requires the premise of I. Of course that seems silly, but in matters of logical rigor it becomes important.In any case, as far as I understand, the next step in the progression outwards from an axiom is a properly foundational belief…
Logic only describes the process of reason, not the content of it. One can reach conclusions that are logically valid, but if one starts with premises that are undemonstrated, one’s conclusions will be no more demonstrable for being logically valid. Reasoning God into existence has been tried, but has so far failed to deliver any perceptible goods.We still have Logic. the basis of all Mathematics, Metaphysics, etc. We haven’t really lost anything but the false idea that only empirical evidence proves anything. People often confuse the empirical method used in the scientific method for philosophical empiricism. It pokes ahuge whole in the new atheists arguments which all depend at some point on proof by empirical evidence.
As another poster pointed out earlier with regard to the white swans example, it would take a hugely contradictory observation to overturn a well-established theory arrived at by induction. The kind of difference we’re talking about here would be discovering that all one’s previous experience of swans was fabricated by skilful puppeteers - not merely discovering that some swans are not, in fact, white. Or the classic rabbit fossils in the Precambrian discovery as a disproof of evolutionary theory - that certainly would overturn our present model of the progress of natural history.Mathematicians do use various axioms in the way your friend described, but all axioms are inductions at some point and therefore suspect…they can be overturned at anytime by a contradictory observation.
The truths of logic and pure mathematics are pretty much entirely self-referential, so I don’t see how it matters that they don’t conform to physical reality. They are mental constructs (which, of course, implies the physical reality of mental processes…) They can be used to reason about material reality, but they aren’t a perfect match.So whereas Cogito is rock solid to me, all other axioms are not in the same class of certainty…As I have examined these issues, I become more and more a rationalist. Maybe not perfectly so, but it seems to me that the truth of logical systems such as mathematics is independent of physical reality. Not to be a Platonist about it. there are no glowing forms of truth in the sky, but rather some quality of truth seems to be independent of it physical expression. You might have some fun looking at Godels theoroms on the matter.
I get what you’re saying, but it’s also fair to note that one man’s logical rigour is another man’s unnecessary nitpicking. Personally, I would be very surprised if Descartes - or any other philosopher since - actually entertained serious doubts about his own existence beyond the thought experiment of trying to prove it. I would venture to suggest that if one does not believe in one’s own existence, there’s really nowhere to go from there.As axioms are inductions I despair of the true validity of any foundational belief apart from Descartes. Some people even question Descartes jump from " I doubt" to “I exist” because it requires the premise of I. Of course that seems silly, but in matters of logical rigor it becomes important.
You are on track here about confusing the order of being with the order of knowing. This is the critique of Kant employed by realists. But Kant is still interesting. He starts with experience, and then asks: what do you already have to “know” in order to make certain knowledge claims. For example, Kant says that we must already be familiar with “causality” in order to say that a specific cause has produced a specific effect. Likewise, with time and space - which Kant regards as two big singular “objects” - in order to know a specific date or a specific location, we somehow have to already be in possession of the “whole” of time or “whole” of space - we can’t build it piecemeal. According to Kant, we provide these peculiar totalities - they are our contribution (but there is a lot of ambiguity here - because time and space are also “pure” objects of our cognition, “pure” because they do not come through our special senses from “outside” of us).Another quite effective critique of TAG and its accompanying presuppositional position is that it confuses the order of being with the order of knowing.
“demonstrable” is just the backdoor to “Empirical” which in the strong sense is a logical contradiction, and in the weak sense is so subjective as to be worthless. That was the failure of the logical positivists. Demonstrating things empirically, proves nothing. In order to believe it does requires the acceptance of a logical contradiction as valid. We only think it does because we already accept the premises of empiricism, which is really just begging the question. Its not intentional, its just a product of western education.Logic only describes the process of reason, not the content of it. One can reach conclusions that are logically valid, but if one starts with premises that are undemonstrated, one’s conclusions will be no more demonstrable for being logically valid. Reasoning God into existence has been tried, but has so far failed to deliver any perceptible goods.
Yeah, the problem is the insistence on “perceptible evidence” the variable there is perception, not the evidence. A blind man cannot perceive color, of course that doesn’t make mean that color doesn’t exist, it means that the powers of percetion are very much unreliable indicators of the way that reality really is. Imagine if we had the perceptive tools to see angels? Then who would question it? It is our reliance on faulty tools of perception that gives rise to doubts, not on any real lack of evidence.The notion of scientific ‘proof’ is a misunderstanding of how science works. It doesn’t deal in proofs, only in probabilities and plausibilities. Even Richard Dawkins doesn’t absolutely deny the possibility of a god’s existence - he just thinks that on the basis of perceptible evidence, it’s extremely unlikely.
I understand what you mean, one has to have something to work with. But simply because we have very little to work with, with out admitting the unreliable results of perception, doesn’t mean that we should use it anyway. You wouldn’t use faulty data in a research paper if you knew it was faulty, even if it was the only data you had would you? Of course not. So it seems that using perception we know is faulty as any kind of guide to truth is a road map on which one is bound to get lost. This is an old problem and one which we are not likely to solve ourselves, given that it has occupied some of the greatest minds in history. The only thing we really seem to know is Cogito, and there doesn’t seem to be a leap from there to anything else. An unsatisfying situation but apparently the one wee are stuck with. I asked rossum, and he said that Buddhists only believe in thought, not a permanent thinker. Which to my metaphysically inclined mind is simply a restatement that existence is logically necessary. The interesting thing to me is that such synchronicities seem to indicat that truth is not nearly so subjective as people would like to believe.Personally, I can’t see how perception and reason can possibly work in isolation - if all we have is reason, we have nothing to reason about, and if all we have is sensory experience, we would be aware only of a seemingly unconnected succession of events. Both perception and reason, then - as far as I can see - are vital to any exercise in knowledge acquisition.
“demonstrable” is just the backdoor to “Empirical” which in the strong sense is a logical contradiction, and in the weak sense is so subjective as to be worthless. That was the failure of the logical positivists. Demonstrating things empirically, proves nothing. In order to believe it does requires the acceptance of a logical contradiction as valid. We only think it does because we already accept the premises of empiricism, which is really just begging the question. Its not intentional, its just a product of western education.Logic only describes the process of reason, not the content of it. One can reach conclusions that are logically valid, but if one starts with premises that are undemonstrated, one’s conclusions will be no more demonstrable for being logically valid. Reasoning God into existence has been tried, but has so far failed to deliver any perceptible goods.
Yeah, the problem is the insistence on “perceptible evidence” the variable there is perception, not the evidence. A blind man cannot perceive color, of course that doesn’t make mean that color doesn’t exist, it means that the powers of percetion are very much unreliable indicators of the way that reality really is. Imagine if we had the perceptive tools to see angels? Then who would question it? It is our reliance on faulty tools of perception that gives rise to doubts, not on any real lack of evidence.The notion of scientific ‘proof’ is a misunderstanding of how science works. It doesn’t deal in proofs, only in probabilities and plausibilities. Even Richard Dawkins doesn’t absolutely deny the possibility of a god’s existence - he just thinks that on the basis of perceptible evidence, it’s extremely unlikely.
I understand what you mean, one has to have something to work with. But simply because we have very little to work with, with out admitting the unreliable results of perception, doesn’t mean that we should use it anyway. You wouldn’t use faulty data in a research paper if you knew it was faulty, even if it was the only data you had would you? Of course not. So it seems that using perception we know is faulty as any kind of guide to truth is a road map on which one is bound to get lost. This is an old problem and one which we are not likely to solve ourselves, given that it has occupied some of the greatest minds in history. The only thing we really seem to know is Cogito, and there doesn’t seem to be a leap from there to anything else. An unsatisfying situation but apparently the one wee are stuck with. I asked rossum, and he said that Buddhists only believe in thought, not a permanent thinker. Which to my metaphysically inclined mind is simply a restatement that existence is logically necessary. The interesting thing to me is that such synchronicities seem to indicat that truth is not nearly so subjective as people would like to believe.Personally, I can’t see how perception and reason can possibly work in isolation - if all we have is reason, we have nothing to reason about, and if all we have is sensory experience, we would be aware only of a seemingly unconnected succession of events. Both perception and reason, then - as far as I can see - are vital to any exercise in knowledge acquisition.
I am not sure that there is any level of contradiction is necessary to disprove any number of inductions. It seems that the quality of the contradiction ia ll that matters. After all it only took one black swan to disprove what must have been billions of inductions that all swans were white.As another poster pointed out earlier with regard to the white swans example, it would take a hugely contradictory observation to overturn a well-established theory arrived at by induction. The kind of difference we’re talking about here would be discovering that all one’s previous experience of swans was fabricated by skilful puppeteers - not merely discovering that some swans are not, in fact, white. Or the classic rabbit fossils in the Precambrian discovery as a disproof of evolutionary theory - that certainly would overturn our present model of the progress of natural history.
While I wouldn’t agree that there is an implication that mental constructs are a physical reality in the empirical sense. I think its important to notice that truth doesn’t arrive solely at the beck and call of the physical. Being self referential is the state of absolutely all knowledge, even Cogito. So I am not sure we can escape that.The truths of logic and pure mathematics are pretty much entirely self-referential, so I don’t see how it matters that they don’t conform to physical reality. They are mental constructs (which, of course, implies the physical reality of mental processes…) They can be used to reason about material reality, but they aren’t a perfect match.
Yeah, that’s about the size of it. Its an unfortunate thing to realize that our desires for absolute certainty are never going to be met. To my mind that desire speaks more to our emotional states than it does to any rational requirement. We* want* to be certain, there is no need for absolute certainty. It all boils down to “best guess”. The epistemological nihilism hiding behind the one sure thing, Cogito, scares most people senseless. But as a 4:20 friendly guy. I have ways to deal.I get what you’re saying, but it’s also fair to note that one man’s logical rigour is another man’s unnecessary nitpicking. Personally, I would be very surprised if Descartes - or any other philosopher since - actually entertained serious doubts about his own existence beyond the thought experiment of trying to prove it. I would venture to suggest that if one does not believe in one’s own existence, there’s really nowhere to go from there.
The problem being that we have no apparent alternatives.“demonstrable” is just the backdoor to “Empirical” which in the strong sense is a logical contradiction, and in the weak sense is so subjective as to be worthless. That was the failure of the logical positivists. Demonstrating things empirically, proves nothing. In order to believe it does requires the acceptance of a logical contradiction as valid. We only think it does because we already accept the premises of empiricism, which is really just begging the question. Its not intentional, its just a product of western education.
Again this highlights the importance of the interplay of perception and reason - the point of the scientific method, since its inception, has been to endeavour to correct, as far as possible, the problems inherent in human reliance on sensory evidence. Now, a blind man certainly is not able to perceive colours with his eyes, although he can hear other people speaking of them - again, this is sensory perception. But what would colours mean for a blind man? Not much, and they are hardly a necessity to his understanding or enjoyment of the world. I would suggest that the same could be said for ‘immaterial’ entities such as angels - we can hear people speak of them, and read philosophers’ debates about how many of them can dance on the head of a pin, but we have no means of actually perceiving them, so how can we say with any degree of confidence what they are or what they mean to our lives?the problem is the insistence on “perceptible evidence” the variable there is perception, not the evidence. A blind man cannot perceive color, of course that doesn’t make mean that color doesn’t exist, it means that the powers of percetion are very much unreliable indicators of the way that reality really is. Imagine if we had the perceptive tools to see angels? Then who would question it? It is our reliance on faulty tools of perception that gives rise to doubts, not on any real lack of evidence.
If I were in such a position, I would need to acknowledge that even though the data I had was faulty, there were no alternatives and hence I could not address the topic of the research paper. I’m not sure our reliance on perception is in the same category, though - we do it even before we’re able to think about doing it, so I would suggest it’s largely instinctive. You’re also assuming here that we absolutely know that our senses are in all cases and at all times unreliable, which seems an odd claim to make.I understand what you mean, one has to have something to work with. But simply because we have very little to work with, with out admitting the unreliable results of perception, doesn’t mean that we should use it anyway. You wouldn’t use faulty data in a research paper if you knew it was faulty, even if it was the only data you had would you? Of course not.
Nor indeed, I would say, are we necessarily stuck in the dichotomy of absolute vs arbitrary. Truth can cover a range of possibilities without being wholly subjective. As one of my English professors once remarked, you can say that Shakespeare’s Hamlet is about many things, but it would be hard to make the case that it’s about strawberry jam.The only thing we really seem to know is Cogito, and there doesn’t seem to be a leap from there to anything else. An unsatisfying situation but apparently the one wee are stuck with. I asked rossum, and he said that Buddhists only believe in thought, not a permanent thinker. Which to my metaphysically inclined mind is simply a restatement that existence is logically necessary. The interesting thing to me is that such synchronicities seem to indicat that truth is not nearly so subjective as people would like to believe.
I see what you’re saying here, and this might lead to consideration of what could be called a hierarchy of knowledge - from broad understandings to specific details. Discovering black swans where previously one had encountered only white swans is hardly the kind of observation that would unseat an entire worldview - it is quite easily accommodated by one’s general understanding of swans, which, whilst they are no longer generally defined as white, still fit the other established criteria for swanhood.I am not sure that there is any level of contradiction is necessary to disprove any number of inductions. It seems that the quality of the contradiction ia ll that matters. After all it only took one black swan to disprove what must have been billions of inductions that all swans were white.
I would agree with your general point about knowledge being self-referential, pretty much of necessity given our nature as self-aware agents, although I’m not clear on your point about this state of affairs not having a physical existence, as such.While I wouldn’t agree that there is an implication that mental constructs are a physical reality in the empirical sense. I think its important to notice that truth doesn’t arrive solely at the beck and call of the physical. Being self referential is the state of absolutely all knowledge, even Cogito. So I am not sure we can escape that.
Quite. I’m sure that’s why I found Nineteen Eighty-Four such a terrifying book. That said, though, there’s something to be said for the pragmatic, best-guess approach. What else can we do, really?Its an unfortunate thing to realize that our desires for absolute certainty are never going to be met. To my mind that desire speaks more to our emotional states than it does to any rational requirement. We* want* to be certain, there is no need for absolute certainty. It all boils down to “best guess”. The epistemological nihilism hiding behind the one sure thing, Cogito, scares most people senseless.
And that is the crux of the matter. Our desire to use even broken tools too achieve a false certainty is really just a reflection of what is broken in us.The problem being that we have no apparent alternatives…