We all have our idiosyncracies and few of us come up with the perfect phrase every time. I tend to be a bit cautious, if you like, and perhaps scrutinize the text more closely than I need to. The reason is that one of the ways I come to understand meaning is by asking what the opposite would be and what would make it apply. (See below). The dictionary definitions of cause and reason were a bit of a blow. The philosophical use of "cause" and hence of "reason" is, if you like, specialized.I wasn't crazy about writing it. :grin: I don't always know how to express myself in these matters. And sometimes it's not even my fault, As ssu just pointed out regarding the definitions of cause and reason. — Patterner
That start me wondering what it would mean if physical determinism only metaphorically prevented any other possibility. But I'm not arguing that we are not prevented from some choices in one way or another. The question is whether this is always the case or just sometimes and what the factors are that can prevent choices. See?I'm not "actually choosing" if physical determinism literally prevents any other possibility. — Patterner
The question is whether you have no possibility of choosing from the options. But determinism effectively says that you have no options, because an option is by definition something you could choose to take.If I'm aware of all the possibilities, but I have no possibility of "choosing" from the myriad options, and can do only the one that the physical factors determine, then awareness is only watching the show. — Patterner
The difficulty is to understand metaphors. If one takes them literally, they are usually false or meaningless. They can have a meaning, and even a truth, of their own.Come on. It's a metaphor. You seem to have a problem with both Metaphors and Metaphysics. Do you remember how I define "meta-physics", not as religious doctrine, but as philosophical reasoning? — Gnomon
It depends what you think doing philosophy is. Does Heidegger or Derrida do philosophy. Many people (including most analytic philosophers) think not? Did Wittgenstein or Ryle do philosophy? Many people (including many analytic philosophers) think not. That's how it works.I'm getting the impression that you don't do philosophy. I'm not sure what you think this forum is all about, if not attempts to construct or destruct a "philosophical position". — Gnomon
This changes everything. But let me ask whether you think that determinism is not a physical (empirical) question? I'll tell you now that I don't think it is. It is a way of thinking about the world and science. Whether it would count as metaphysical inquiry, I wouldn't know. But I certainly think it is a theoretical enquiry. Freedom (Free Will) is a way of thinking about certain parts (components - people) of the world. Understanding these two as ways of thinking, especially whether and how far they are compatible, not deciding between them, is (should be) the project.FreeWill is not a physical (empirical) question, it's a metaphysical (theoretical) inquiry. My compatibility position is ultimately a Monism : Causation comes in many forms. — Gnomon
Well, we can talk about that.My compatibility position is ultimately a Monism : Causation comes in many forms. — Gnomon
There are some specialized causal processes that seem to be crucial to our functioning. They are not often found outside living things, so we may be fairly close to each other.That internal Causation (willpower) is different from external Determinism (energy) in the sense that a meta-physical Mind is different from a physical Rock. — Gnomon
Yes. That will work fine if the criterion for their order can't change. But you have posited that they can change how much they eat. You need another, independent, criterion for "same dog".In Mathematics there is this well ordering theorem, so we can assume we can put them into order. Plato did it with his Dog 1, then on one side the dogs that eat more, and on the other side the dogs that eats less. — ssu
Yes. But there is the supposition that how much they eat can change. To establish individuation, you need an additional criterion that is not empirical.Rather, by rule #2, the one that eats "the most" and the one that eats "the least" are conceptual quantities that differ from any other quantities already given. — L'éléphant
If one thinks about the various developments from, say, to Copernicus to Newton, "fixing the use of concepts in empirical propositions" seems like a more complicated process than this, and it might be thought to violate the purity of mathematical autonomy. The crucial step is the one from "mathematical hypothesis (which the theologians could accept) to description of reality, (which Newton's theory eventually achieved). True, the reality described was modified to accommodate this, but that itself raises questions about the autonomy of systems. I would prefer to say that the application of mathematical propositions to empirical propositions is an extension or development of their theoretical use. How could I rule out other extensions or developments?the meaning of a mathematical concept is not an object or 'configuration' but rather, the totality of rules governing the use of that concept in a calculus." Mathematical propositions are not about anything (in a descriptive sense) yet neither are they meaningless: they are norms of representation whose essence is to fix the use of concepts in empirical proposition. — Richard B
Surely the question whether Godel had or had not achieved that aim is a question for mathematicians. But mathematicians disagree, (don't they?) and perhaps Wittgenstein counts as a mathematician. So the question does not have a determinate answer. That seems to me to be closer to what one might call the truth. I do not rule out the possibility that mathematicians might eventually devise rules for the use of the relevant concepts that would resolve the question. Fortunately, I am barred from attempting the project.Hence Godel was barred by virtue of the logical grammar of mathematical proposition from claiming that he had constructed identical versions of the same mathematical proposition in two different systems. — Richard B
Except when we come to applied mathematics, when that issue becomes central."In Philosophical Remarks Wittgenstein insisted contra Hilbert that ' In mathematics, we cannot talk about systems in general, but only within systems. They are just what we can't talk about(PR 152). The argument as presented sounds dogmatic, but it follows from the preceding clarification of the meaning of mathematical propositions as determined by intraliguistic rules rather than a connection between language and reality. — Richard B
It is better to think that a word has the meaning someone has given to it than to think that the meaning of a word is an eternally existing (subsisting entity floating about in some alternative world. But at face value, for those of us using the words, that is simply false. We learn what words mean - we do not make it up; we discover what they mean (what the rules for its use are), or we do not learn to speak. So there can be a scientific investigation into what the word means - and how its meaning changes. To be sure, sometimes we know who gave a word its meaning, but even if it was coined by someone, its use is the result of a process of dissemination which is rarely documented and we do not altogether understand. But dictionaries often include remarks about it and it could be the object of a "scientific" investigation.From Wittgenstein Blue Book "Philosophers very often talk about investigating, analysis, the meaning of words. But let's not forget that word hasn't got a meaning given to it, as it were, by a power independent of us, so that there could be a kind of scientific investigation into what the word really means. A word has the meaning someone has given to it." — Richard B
"Overdo" is the right word, though whether it applies to specific texts is always going to be debateable. Ryle in "Dilemmas", as I recall, talks about technical and untechnical concepts and concepts that everyone uses whatever technical language they are using, rather than ordinary language.From Quine, Word and Object, "There are, however, philosophers who overdo this line of thought, treating ordinary language as sacrosanct. They exalt ordinary language to the exclusion of one of its own traits: its disposition to keep evolving." — Richard B
The difficulty is that I don't trust myself to dispense with all my selfish interests during this imaginative exercise. It is rather easy to say that if I was a slave, I would accept my slavery because those are the rules. It is equally easy to say that if I was a slave, I would do my level best to escape, despite the rules. For my money, it is much better to start where we are. Other people may start in different places. When we disagree, we shall have to have an argument. That's how it works. How can Rawls' exercise help? Back to ordinary language?from John Rawls "Principles of Justice", "My aim is to present a conception of justice which generalizes and carries to a higher level of abstraction the familiar theory of the social contract as found, say, in Locke, Rousseau, and Kant. In order to do this we are not to think of the original contract as one to enter a particular society or to set up a particular government. Rather, the guiding idea is that the principles of justice for the basic structure of society are the object of the original agreement. They are the principles that free and rationale persons concerned to further their own interests would accept in an initial position of equality defining the fundamental terms of their association — Richard B
I'm sorry. I just don't follow this. Is there a typo somewhere?You cannot take Plato's dog, add the food of the dog which eats less than every other dog, and then get more than Plato's dog eats. — ssu
Nor do I follow this. But I can agree that if you mess about with the food, some other dog might get less than the dog that eats less than any other dog.If you would get a different amount of food, then that could be divided even smaller portions and the dog that eats the least wouldn't be the one eating the least. — ssu
Each dog is an individual, so we will always be able to find a unique description or assign a unique name to each dog. Unfortunately, we won't be able to assign a number to each dog in the order they were created, but we can assign a unique number to each dog according to how much they eat, starting with Dog One. That won't work if you start messing about with how much they eat.while the dog that eats less than any other dog, does this the definite it separate from all other dogs? — ssu
I have a lot of time for Dennett. But that doesn't mean I agree with everything that he says. This is just throwing in the towel. We all have limitations - things we cannot do. But doesn't really affect the issue.… although in the strict physical sense our actions might be determined, we can still be free in all the ways that matter, because of the abilities we evolved". — Gnomon
But I'm not a sentient mind trapped in an imprisoned body. I'm a person, as free as anyone is.It's not the heavenly ideal, but a free-roaming mind is better than being a sentient mind trapped in an imprisoned body. — Gnomon
I wouldn't know. I don't live in a mind-and-matter world, nor in a matter-only world, not, for that matter, in and ideas-only world. On Mondays, Wednesdays and Fridays, I'm a monist. On Tuesdays, Thursdays, and Saturdays, I'm a uncountable pluralist. On Sundays, I don't do philosophy.In a Matter-only world, "it is what it is" ; but in a Mind & Matter world, what is imagined might also become realized. — Gnomon
Well, I suppose I can make some sort of sense of that. But not enough to add up to a philosophical position."I feel that as human beings with free will, the mind tends to limit itself from living to the fullest when we become prisoners of our own mind." Is your mind locked-in? :chin: — Gnomon
Either we are free all day and every day, or we are not free. It is entirely mundane, not special in any way. But perhaps you just want to change the subject.Creativity and Invention: Imagination often precedes innovation and creation. Many of the inventions and creations that shape our world start as ideas in someone's imagination. When these ideas are acted upon and brought into the physical world through effort, experimentation, and implementation, they can become a reality. This process involves turning abstract thoughts into tangible products, technologies, or works of art. — Gnomon
What is wilful action as contrasted with physical action? In what way is a cause "within" me any different from a cause "without" me? How can an internal cause not determine the action unless it is not a cause or it is in some way special? What reason is there to suppose that an internal cause is in any way special - apart from the fact that it is inside me? (We have opened people up and not found any special causes.)Perhaps, but the "cause" of willful action --- as contrasted with physical actions --- is presumed to be within the agent. Otherwise, the action would be pre-determined instead of free-will. :cool: — Gnomon
Oh, you're imagining that you have discovered a previously unknown manuscript. Who wrote it - Plato, Zeno, Themis, Athene, Zeus? Or a rat, skulking in a corner.Remember, the story is told by Plato, not by a third actor. — ssu
I thought it was Zeno who got the silly ideas. But then, perhaps this is a non-standard analysis.Did he? Or did he try to make an counterargument to Plato? During the time, you tried to make questions that the one answering you would make the argument. So could it be that Zeno was arguing that by Plato's reasoning you get into the silly ideas like the Achilles cannot overtake the tortoise. Or the Arrow cannot move. Remember, the story is told by Plato, not by a third actor. — ssu
So long as it is a non-standard dog, I guess it'll pass muster.In Abraham Robinsons nonstandard analysis that dog that eats the least exists and is fine. — ssu
I'm glad of that. It doesn't mean I have any answers.then you get the problem. — ssu
Well, I don't know how this works. I have imagination deficiency. Doctors have tried for years to cure me. Don't worry, it's not fatal.Your second statement goes with the lines of Plato then. Poor of Zeno's dogs. — ssu
I suppose it is, if you think the misery of two dogs a satisfactory price for the happiness of the others. I'm sure it would get a majority vote from the dogs.So it's kind of a happy ending? — ssu
I'm pretty sure that was an illusion. After all, each dog can be counted and the counting can continue for as long as there are any dogs that have not been counted.It seemed that the number of the dogs couldn't be counted — ssu
That little word actually is interesting. What does it mean? Either I have a choice, or I do not.It's about whether or not I can actually choose one path or another. — Patterner
In one way, you are right. But there are some kinds of coercion that are compatible with the capacity to choose. Determinism eliminates the capacity to choose, and so eliminates the possibility of coercion.I'm just saying that you can't have no ability to choose any but one of multiple equally possible paths and have free will in the matter. — Patterner
Quite so. Does the sun want to rise in the morning?Coercion usually means forcing someone to do something he or she doesn't want to do. — ssu
Interesting. Is that because she thinks that determinism forces me to do things, or because choice is meaningless in a determinist framework?Finally on 12:20 she explains why she believes that determinism eliminates free will. — ssu
Yes. That means that the prediction does not force me to do anything.In many occasion giving a prediction doesn't affect what is predicted. That the Earth revolves around the Sun even a hundred years from now is a sound prediction. Giving that doesn't effect the future, the Earth or the Sun. — ssu
Yes, it is a category error. I'm not sure about emergent properties. There doesn't seem to be much agreement about them and maybe those arguments are giving too much away. Yet we are physical beings, and physics doesn't have exceptions. Understanding that is the problem.Yet they disregard then the "more is different" argument, the emergent properties, and make simply a category error. — ssu
I get the first half of the sentence. But the meaning of the second half is not at all clear to me. Your diagram in your "Small world model" doesn't help.Compatibility does not require total chaotic indeterminism, but only a few short-cuts on the road to destiny. — Gnomon
Are you suggesting that an imagined freedom is any substitute for the real thing? Seems like a very poor exchange to me.Our physical actions may not be free, but our meta-physical intentions are free as a bird, to defy gravity by flapping. "If god intended man to fly, he would have given him wings". Instead, he gave us imagination. — Gnomon
No, it is not the case that the man is not free just because he can be imprisoned. If he is not imprisoned, he is free. In case, the freedom to "roam the world of ideas" is no substitute for the freedom to go home to you partner and kids.Note --- The man is not free --- he can be imprisoned --- but his mind is free : to roam the world of ideas. — Gnomon
So an action is free if its causes are inside the agent. If the causes of those causes are outside the agent, can we conclude that his acts of will, etc are not free?3) the causes of voluntary behaviour are certain states, events, or conditions within the agent: acts of will or volitions, choices, decisions, desires etc... — The Chapter you cited entitled Compatibilism
So compatibilism is window dressing - a concession to the ignorant. Why would I be interested in this?Compatibilism is determinism with a slight modification for the sake of appearances and for our language use. It is a position taken because of the perceived need to have some idea of accountability or responsibility for human behavior. — The Chapter you cited entitled Compatibilism
Quite so. Only, if at all possible, I would like to be regarded as only coerced by the law when I do so. Keeping the law means that one could break it.Large societies need predictability, for example when driving in traffic, I think everybody is happy if you predictably stay on your own lane. — ssu
Well, that might be right. Though I would be a bit concerned if people who did not understand Godel were then to be classified as not free.It's been long argued starting from J.R. Lucas (1961) and then continued with Penrose that human mind is different because we can understand Gödel's incompleteness theorems and computers cannot, but that argument is a confusing. — ssu
But the billiard balls do not roll as they do because LD predicted how they would.I don't think LD has any problem in predicting billiard balls as they follow exceptionally well even Newtonian physics. — ssu
Well, yes. I think feedback loops are an important part of enabling us to control our actions and hence act freely.Yet LD has a problem of making an equation when the future depends on his equation, especially the negation of it. — ssu
We started this discussion because you said:-I think it would be productive for this thread if either you or anyone gives the most compelling case just why they cannot be both at the same time. Even if one doesn't personally agree with the argument. — ssu
I think I may have interpreted this in a way different from you. It's complicated. You can't play both language-games at the same time, any more than you can play chess and draughts ("checkers" in the USA, I think) at the same time. The tricky bit is that, while there is no problem about playing both those games on the same board, there does seem to be a problem about playing both language games in the same world. Moreover, while I would like to say that it is just a question of how you consider or articulate the phenomena, I don't think it is as simple as that. So I think there is scope and need to see if some bridges might not be built. But we might need to revise the rules of both games.In my view both are very useful concepts. I will argue that you can have determinism and free will. — ssu
The person who comes down the mountain is not in a free fall, as the boulder is - though they might be. Their descent is under control. It's not about which path they take.in what way is a path taken for such causes by a person who comes to an intersection different from a path taken by a boulder rolling down a mountain? — Patterner
I'm not at all sure this is relevant for our problem. In the first place, the billiard balls can travel along paths they have never travelled before. In the second place, if we are only free when we innovate, then we are in chains for most of our lives.You can even innovate, do really something that hasn't been there before in your mind. — ssu
I don't disagree, but I do wish we could stop talking about free will, with all its baggage, and concentrate on freedom.But for entities that are conscious and sentient, free will is a really great model to use! — ssu
Yes. Exactly.Case in point, the arrangement of games, as described in Toulmin's article, seems to have nothing to do with 'metaphysics' as traditionally used. — Lionino
I'm afraid I couldn't follow your account of this. I'll have to take another look at it later on. But I'm not sure that the project of trying to articulate the Venn diagram is necessarily the best way to go. It may be constraining, rather than guiding, your thinking."Metaphysical possibility" is sought as distinct from logical and physical possibility. — Lionino
Yes, but are the philosophers who want to make synthetic necessity among them?Some philosophers make away with both the a posteriori / a priori and analytic/synthetic distinctions, — Lionino
I'm afraid that I was brought up in the tradition that says that the analytic/synthetic distinction is the only one that means anything. My dilemma is that can see some sense in the point that that one only applies to language, where a priori applies to knowledge and contingent applies to "the world".I take the traditional view and accept all those distinctions. — Lionino
Yes. Sorry. Careless.No, the infinite sum is the limit of the sequence of the finite sums. — TonesInDeepFreeze
Fair enough. But that's a much better description, IMO. What more is there to say?But we don't need to run the code. We can understand the logic of it and so know that there is no consistent answer. It cannot be true, cannot be false, and cannot be anything other than true or false. — Michael
There was no need to do that. It was my misinterpretation of you. But I appreciate the gesture.No no no! Sorry, I wrote badly. I didn't mean you, I meant in general "Now if you go" referring to people who go for scientism. And I'll change it to be more readable! — ssu
Why don't you just run the code and see?The following pseudocode provides a demonstration of C3 and is the correct way to interpret the logic of Thomson's lamp: — Michael
You are quite right. But it's not often that I come across such egregious examples.Expecting more of a dictionary would be a mistake. A dictionary is limited to describing words with other words - there's inevitable circularity to it. There's something of a Munchausen Trilemma involved in writing a book full of words describing other words. — flannel jesus
Dear, oh, dear. I thought it was the causal determinist who was guilty of scientism. I'm more than happy to insist that the methods (and concepts) of science do not apply when thinking about thinking. It's not really a strictly a question of logic, but of a more general conception of rationality. Or, put it another way, of a different kind of syllogism (though it was also invented by Aristotle) known as the practical syllogism.Now you go too far with applying the scientific method and hold a bit extreme views of scientism, but this usually comes from that the person doesn't understand that other fields do use logic too. — ssu
I don't understand the question. I think that's because norms are not an optional extra in Wittgenstein's philosophy. Perhaps they are not so clearly visible because he is showing through describing.That said, why should philosophy not have a normative role as well. — Richard B
PI 124 “Philosophy may in no way interfere with the actual use of language; it can in the end only describe it. For it cannot give it any foundation either. It leaves everything as it is.”
PI 126 “Philosophy simply puts everything before us, and neither explains nor deduces anything. Since everything lies open to view there is nothing to explain. For what is hidden, for example, is of no interest to us.” — Richard B
What is your aim in philosophy? To show the fly the way out of the fly-bottle. — PI 309
I should not like my writing to spare other people the trouble of thinking. But if possible, to stimulate someone to thoughts of his own.
A philosophical problem has the form: ‘I don’t know my way about. — PI §123
There is not a philosophical method, though there are indeed methods, like different therapies. — PI §133
The philosopher treats a question; like an illness. — PI §255
The real discovery is the one which enables me to stop doing philosophy when I want to. The one that gives philosophy peace, so that it is no longer tormented by questions which bring itself into question. — PI § 133
What I give is the morphology of the use of an expression. I show that it has kinds of uses of which you had not dreamed. In philosophy one feels forced to look at a concept in a certain way. What I do is suggest, or even invent, other ways of looking at it. I suggest possibilities of which you had not previously thought. You thought that there was one possibility, or only two at most. But I made you think of others. Furthermore, I made you see that it was absurd to expect the concept to conform to those narrow possibilities. Thus your mental cramp is relieved, and you are free to look around the field of use of the expression and to describe the different kinds of uses of it. — Lectures of 1946 - 1947, as quoted in Ludwig Wittgenstein : A Memoir (1966) by Norman Malcolm, p. 43
He once greeted me with the question: 'Why do people say that it was natural to think that the sun went round the earth rather than that the earth turned on its axis?' I replied: 'I suppose, because it looked as if the sun went round the earth.' 'Well,' he asked, 'what would it have looked like if it had looked as if the earth turned on its axis?' This question brought it out that I had hitherto given no relevant meaning to 'it looks as if' in 'it looks as if the sun goes round the earth'. My reply was to hold out my hands with the palms upward, and raise them from my knees in a circular sweep, at the same time leaning backwards and assuming a dizzy expression. 'Exactly!' he said. In another case, I might have found that I could not supply any meaning other than that suggested by a naive conception, which could be destroyed by a question. The naive conception is really thoughtlessness, but it may take the power of a Copernicus effectively to call it in question. — G. E. M. Anscombe, An Introduction to Wittgenstein's Tractatus, Chap. 12
Does what I have said articulate what you mean here?Insofar as one reflectively reasons in order to critique and interpret norms (i.e. rules, criteria, methods, conventions, customs, givens), philosophy is performative. To say, for example, 'one ought to philosophize' does not seem a philosophical statement. — 180 Proof
At first I thought this was inconsistent, harking back to the idea that logic could be the basis of an ideal language, free of all the dross that natural languages carry. But perhaps he doesn't mean re-forming, changing, language, but grasping the order that is already there.PI 130 “Our clear and simple language-games are preparatory studies for future regularization of language--as it were first approximations, ignoring fiction and air-resistance. The language-games are rather set up as objects of comparison which are meant to throw light on the facts of our language by way not only of similarities, but also of dissimilarities.” — Richard B
But this is a bit of chicken and an egg: the causal determinist will simply say that a person, thanks to his thinking, reasoning and experience came to this conclusion because of the current situation that was can be traced to the past occurences, which can be then traced back to, well, the Big Bang. — ssu
Yes, that's a classic example of what dictionaries can do, otherwise known as a circular definition. I believe it is somewhat frowned upon in philosophical circles. Fortunately, we are free to disagree with a dictionary, even if we have to be a bit cautious about it. It doesn't make it easier to articulate what's going on here.In fact, when doing a quick search on the definitions of reason and cause, I got:
reason: a cause, explanation, or justification for an action or event.
cause: a reason for an action or condition : motive, something that brings about an effect or a result, a person or thing that is the occasion of an action or state — ssu
There is no truth of the matter, because it is a matter of deciding how to apply the rules to a situation which they were not designed to cater for. — Ludwig V
I was thinking of a term that would apply to sequences in general.Which sequence? There are different sequences involved in the puzzles here. — TonesInDeepFreeze
I think I can work with that. But I see that you used "entry" elsewhere. That's simpler.0 is the value at the arguments 1, 3, 5 etc — TonesInDeepFreeze
I didn't realize that is the context. Then most of what I said is irrelevant.I was speaking in the context of the completion times halving. — TonesInDeepFreeze
I agree with all of that. There is a twist, of course. The sum is not the total addition of all the entries, but the limit of the total addition of all the entries. The total addition of all the entries up to a specific point will converge on/with the sum.An infinite series that has a sum (some might say the series is the sum) requires first having an infinite sequence (each entry in the sequence is a finite sum) that converges, and the sum is the limit. The sequence whose entries are 0, 1, 0, 1 ... does not converge. However, whatever you mean by 'complete', there are infinite series that have a sum. — TonesInDeepFreeze
I agree with all of that. That's why I ended up formulating the problem in terms of 1 and 0 alternating. Unfortunately, that doesn't resolve everything. But I need time to work out how to articulate this reasonably clearly. Sorry. I will get back to you.For that matter, I don't think the particulars about buttons, jabbing, or especially about human acts such as fingers reaching to touch a device are relevant, as the problem could be entirely abstract, as what is essential only is that the lamp goes on and off at the increasing rate mentioned, or, for that matter, it's not essential even that it's a lamp or any other particular device (could be clown klaxon going off an on for all it matters) as long as there are alternating states, whatever they may be. — TonesInDeepFreeze
Well, I don't want to quarrel about a name. Call it metaphysics or call it a posteriori necessity, my account of the problem derives from Wittgenstein, Ryle and Toulmin. That's what matters.They hold there is an identity that is metaphysically necessary, and it is metaphysically necessary because it is a a posteriori necessity. — Lionino
The same comment applies to much of the discussion in this thread as well. Ryle seems to have thought it applies to all philosophical problems, but I wouldn't go that far.There is no truth of the matter, because it is a matter of deciding how to apply the rules to a situation which they were not designed to cater for. — Ludwig V
My problem is that I don't understand what carrying out a supertask is. So I can't even think about the consequences of carrying one out. @TonesInDeepFreeze, This is the best that I can do to articulate what bothers me.We are being asked about the causal consequence of having carried out a supertask. — Michael
Well, I'm inclined to agree with you at least this far, that "I believe that p and that p is false" is a contradiction. "I believe that p and that p might be false" is not a flat-out contradiction, and could be described as paradoxical. "I believe that p and that p cannot be known, even though p is capable of truth and falsity." is extremely odd, but, for someone who believes on faith, comprehensible.I think claiming belief and not knowledge is paradoxical. The claim to 'faith' is, to me, an indication of dishonesty or delusion. — AmadeusD
That seems a reasonable idea. Maybe a bit harsh - people can be misled even if they do their level best to check things out properly.to me, delusion implies that someone has simply formed a conclusion without adequately assessing the relevant states of affairs. — AmadeusD
Thanks for the invitation. I can try. But as long as people think that the search for free will is the search for an uncaused cause or a search for indeterminacy, I doubt that anyone will be interested.I think it would be productive for this thread if either you or anyone gives the most compelling case just why they cannot be both at the same time. Even if one doesn't personally agree with the argument. — ssu
I've been aware of some of them. I suppose I'll just have to experiment and see what happens.There are a few reading groups here — Wittgenstein, Aristotle, Kant, Descartes. But you don't see them unless you look for them because they get quickly taken over by dumb nonsense such as this and this. — Lionino
That suggests one could start a useful discussion from the relevant pages of the encyclopedias - and then read the book. Standing on the shoulders of the giants.Anyhow, any meaningful discussion to be had is covered 90% in the IEP/SEP page of the respective philosopher — Lionino
I agree with this. But there are some questions.In my view both are very useful concepts. I will argue that you can have determinism and free will. Free will is a great concept to use as it easy describing various events and phenomena extremely well. Yet so is determinism too. — ssu
In the quotation in that message, I made no statement. I just asked a question.And your statement (at least as you wrote it) was that none of them could be completed, which is even more It is wrong. — TonesInDeepFreeze
Thank you for the answer to my question. It is very helpful.I made no judgement on that — TonesInDeepFreeze
I would have thought that "for any finite number of tasks, there may be a completion of all the tasks" does not imply that there may be a completion of all of infinitely many tasks and does not imply that there may not be a completion of all of infinitely many tasks.It is incorrect to infer that infinitely many tasks may be completed in finite time from the premise that there is no finite upper bound to how many task may be completed in finite time. I would put it this way: For for any finite number of tasks, there may be a completion of all the tasks. But that does not imply that there may be a completion of all of infinitely many tasks. — TonesInDeepFreeze
I agree with what you say. But, nonetheless, we have defined each entry in the sequence. Or is there an entry that is not defined? I can't think of one.It is not the case that when we define an infinite sequence we must individually define each entry in the sequence — TonesInDeepFreeze
Certainly. But there are some points I am not clear about.It is not the case that when we define an infinite sequence we must individually define each entry in the sequence. — TonesInDeepFreeze
Yes, but how long did it take? Have you not defined each individual member of the sequence and all the members of the sequence? Which members of the sequence are not defined? How many tasks have I completed?Example:
Definition of sequence S:
The domain of S is the set of natural numbers.
For every natural number n, S(n) = n+1.
That's a finite definition (all definitions are finite) of an infinite sequence. — TonesInDeepFreeze
Thank you. I struggle with that difference. I'm not sure that everyone is consistent. What term do you use for a member of the sequence. People seem to by using "stage" or "term". Then there's the difficulty that "0, 1, 0, 1, ...." has, in one way, two members, each of which occurs repeatedly, So what do we call the first "0" as distinct from the second "0"?I like to keep the word 'series' for sums per convergences, and the word 'sequences' for sequences. — TonesInDeepFreeze
Yes. They're still talking about Epimenides the Cretan (and variants), as well. I can't deny they are both fascinating and annoying.Hence 2500 years of philosophers, mathematicians and scientists talking about it. — TonesInDeepFreeze
quoted by @MichaelMetaphysical possibility is either equivalent to logical possibility or narrower than it (what a philosopher thinks the relationship between the two is depends, in part, on the philosopher's view of logic).
Well, I think that the opportunity to discuss them with other people who have also read them helps a lot. That's my biggest problem. Perhaps I should try to start some reading groups.For the purpose of learning philosophy, time spent actually reading the classics is more productive than arguing with idiots in the hopes of the occasional informative post. — Lionino
But that does not imply that there may be a completion of all of infinitely many tasks. — TonesInDeepFreeze
S has a lower bound in S if and only if there is a member of S that is less than or equal to every member of S.
S has a lower bound if and only if there is an x such that x is less than or equal to every member of S. — TonesInDeepFreeze
Thank you for the clarification. I must admit, I was a bit puzzled by "bound". I'm used to "limit". This clarifies something that was puzzling me - how one could describe the relationship between the 0 and 1 to the steps of the series. This seems to work very well.The range of the sequence 1, 1/2, 1/4 ... has no lower bound in the range, but it has a lower bound (the greatest lower bound is 0). — TonesInDeepFreeze
Are you suggesting that it might be the case that all of infinitely many tasks can be completed? What would the last task be?Again, even if there is no completion of all of infinitely many subtasks, it is not entailed that there is a finite upper bound to how many may be completed, so, a fortiori, it is not entailed that each of the subtasks is not completed. — TonesInDeepFreeze
There is the possibility that he doesn't recognize metaphysical possibility. Not everyone does.If I'm not mistaken, Thompson recognizes physical possibility and logical possibility, which are at least fairly well understood, but he doesn't mention metaphysical possibility. That's not to say that the notion of metaphysical possibility should be ruled out, but only that it requires explication. — TonesInDeepFreeze
P1. If (A) the first task is performed at 11:00, the second at 11:30, the third at 11:45, and so on, then (B) infinitely many tasks have been completed by 12:00
P2. B is impossible
C1. Therefore, A is impossible — Michael
Yes. I'm not disagreeing with you, for a change.The distinction comes from language and purpose, and is not physical, which is the point of me posting all this. — noAxioms
:grin:Or in a double spiral, resulting in a pair of very difficult to disentangle Slinkys. — noAxioms
Yes. Given that we are all human beings and therefore similar in many important ways (as well as different in other important ways, that is not surprising. That's why Wittgenstein grounds everything in human life and practices.There is, of course, some variance in edge cases, but on the whole convention seems to correspond to the observable properties of things across different cultures. — Count Timothy von Icarus
Yes. I think we should think of them as lenses, rather than obstacles.I would add that these problems become particularly acute, I would say insoluble, if one starts from the position that what we know/experience are "mental representations" or "ideas" rather than these being that through which we know. — Count Timothy von Icarus
Yes, I hear you. One of the basic issues I have with determinism is understanding why people equate it with being forced to do things.What I'm trying to say that there being a certain future simply doesn't limit in any way free will. — ssu
Strict idealism, empiricism also lead to silly generalizations and wrong conclusions. I realise that we can't avoid generalizations, but I think we have to be pragmatic about them. There's a lot to be said for treating them as useful or not (so long as we assess that in context) or not, rather than true or not. But I wouldn't be dogmatic about that.Strict materialism and physicalism simply leads people to make silly generalizations and to wrong conclusions. — ssu
I meant metaphysics as things before physics, like the nature of existence (and universal principles) and as the study of mind-independent features of reality. — ssu
... which demonstrates why metaphysics is so confusing. But I can see that there might be philosophy to be done with concepts; but then, I don't see how concepts can exist without language and I gather that some people regard a turn to linguistics as problematic. "Mind-independent features of reality" are more problematic, unless you just mean tables, trees and so forth. On the face of it, I would have thought that the empirical sciences are more likely to be useful than philosophy.the branch of philosophy that deals with the first principles of things, including abstract concepts such as being, knowing, substance, cause, identity, time, and space. — Gnomon
I agree with you about this. But I have a pedantic desire to clarify the matter of the gutters. I mentioned them when I suggested that one could decide to cut a pipe into two halves either by cutting across its length, so you get two shorter pipes, or by cutting along its length, so you get two objects of the same length, but not complete circles so not pipes - I decided to call them gutters because they could be used as gutters. When I posited painting the pipe, I did not consider painting the gutters.To Ludwig's gutters: The gutters are two separate objects if considered by a convention that identifies them as such. Them being physically attached to each other or not is irrelevant. Physics is utterly silent on the topic. There is no device that can be pointed to a 'thing' that will tell you the boundary of that thing, despite all the fictional devices that do exactly that. — noAxioms
I agree that when we come to a fork in the road and take one rather than another, we are, under normal circumstances, making a choice. Sometimes, when we make choices, we weigh the options, thinking of benefits and costs and so forth. But I don't agree that we always go through any particular mental process when we do so.The choice is not an illusion: we are actually making the choice - we have to actually go through the mental process to reach that choice. — Relativist
This looks like a definition of philosophy, rather than a branch of philosophy.the branch of philosophy that deals with the first principles of things, including abstract concepts such as being, knowing, substance, cause, identity, time, and space. — Gnomon
I don't understand the question. I could probably invent some sort of meaning for it, but I would have no idea whether that was in any way relevant.Do you see any relationship between physical freedom (mathematical value) and mental freedom*3 (metaphysical value)? :smile: — Gnomon
I don't understand what you are saying here.But meta-physical (mental) choices are not subject to physical laws --- perhaps only the laws of Logic", it can be argued that he is making the argument that there's something else than the physical. — ssu
I suppose you are aware that "indoctrinated" and "legalistic" have presuppositions and overtones that anyone who had been indoctrinated into that legalistic turn would not accept? So why ask the question?Is there some other "language" in my posts that give you pause? I haven't been indoctrinated in the legalistic "linguistic turn" in philosophy (Wittgenstein, etc). So my language is generally vernacular & informal, and may sometimes run afoul of "legal" usage. — Gnomon
I don't understand what "meta-physical" means in that question. It doesn't conform in any obvious way with your definition.Are you uncomfortable with my use of "meta-physics" in reference to mental processes. Are Ideas subject to physical laws of gravity, or is there some other force that gives "weight" to opinions? — Gnomon
Metaphors are not ever intended to be taken literally. I don't know what it would mean to take a metaphor physically. I don't know what it would be to take analogy literally or physically.We tend to use physical metaphors to describe psychological concepts, but are the analogies intended to be taken literally & physically? — Gnomon
Of course ideas are not subject to physical laws of gravity - they are not physical objects. If there is any force that gives weight to opinions, it is an appropriate kind of force, and then the concept of opinions having weight is no longer a metaphor.Are Ideas subject to physical laws of gravity, or is there some other force that gives "weight" to opinions? — Gnomon
Good question. I've no idea what it means.How do physical limitations affect abstract ideas? — Gnomon
On this definition, if natural laws don't change, then they are not to be studied by physics. The definition must be incomplete.The physics books discussed things that change; the metaphysics books discussed things that don't change. — Gnomon
Sticking to the supposition of this puzzle creates confusion. The only possible solution is to look at it differently, not being hypnotized by 1/2, 1/4, ..... But I accept that it is your choice.Of course, if you deny the supposition of the puzzle, then it may be easy to dispense the puzzle. But one may wish not to take the easy way out but instead grapple with the puzzle under the suppositions it makes. — TonesInDeepFreeze
That's right. The difficulty is, I think, the assumption that "divide" means exactly the same thing in all contexts, taking the case of cutting something into pieces as the model. It obviously doesn't apply to numbers, or to space or time.There are not two x/2, each one a separate object made by dividing x. — TonesInDeepFreeze
No, it's confusing theory with practice, abstract with concrete and not understanding that infinity means endless (but not necessarily limited)It is taking this hypothetical premise – that there is no smallest unit of space and time – that gives rise to such things as Zeno's Paradox, Bernadete's Paradox of the Gods, and Thomson's lamp. — Michael
I don't quite understand this. I could understand if you were talking about hypotheses. The journey from hypothesis (possibility) to theory (proven) is a long and tortuous one - blurred, if you like. But a model doesn't have a similar journey - unless there is a way in which a hypothesis can be a model or vice versa. Is that your point?We use models about reality to get answers to certain questions. Many times, those models aren't declarations of our views on ontological questions. Yet often the models are interpreted as how we think what reality actually is. The difference between reality and a certain model of reality (that answers certain questions about it) is blurred. — ssu
That's how I feel about it. But people keep using the word.Above all, do we have to fall into the pit of metaphysical discussions that we have no way of solving (and hence no way to climb out from)? There's no ladder there to reason your way out from the pit. — ssu
Are you saying that any theory that is incompatible with freedom (free will) is false on that ground alone? That's a good start. But many people speak as if determinism was true and we have to bear the consequences, yet seem to believe that determinism is an empirical claim. Even when there's empirical evidence against it, they don't give up on it. I think it has to be classified along with hinge and grammatical propositions, perhaps as a research programme.It's false to draw conclusions from a materialist World view that then free will or making decisions doesn't happen / is meaningless. — ssu
There are ways of determining what is real and what is not. Those ways differ depending on the kind of thing you are talking about, but they exist. Asking what's Real, as if there could be a single-non-context-dependent answer, is the metaphysical way and goes nowhere.Metaphysical questions of what reality really is, don't give an answer to this and deterministic world models are quite useless models to use in this place. — ssu
One has to be careful about language here. What we can do is obviously constrained by our physical limitations. But what we can do is also enabled by our physical capabilities. The physical both constrains and enables what we do.Physical actions are indeed constrained by the limiting laws of physics. But meta-physical (mental) choices are not subject to physical laws --- perhaps only the laws of Logic. — Gnomon
I think we cannot get away with just saying that human freedom and laws of nature apply to different categories/language games. They obviously interact, and it is that interaction that we have to understand.That's why I'm only advocating FreeWill in a Compatibilist sense. — Gnomon
That's an interesting half-way house. But can deterministic theories explain how there can be an illusion of freedom?There is only an illusion of freedom. — Relativist
OK. So I guess measuring an object would count as "distinguishing different parts" of it even if the line that I draw does not correspond to any pre-existing difference or discontinuity in the object.I would say that painting a pipe two different colours is not a case of dividing the pipe. To use your terminology, you are distinguishing two halves without separating them. This does not qualify as "dividing". When I look at an object I can distinguish different parts of the object, and even draw lines on its surface, and all this is done without dividing the object. — Metaphysician Undercover
Perhaps I wasn't clear. I never intended to say that. I thought this was crystal clear:-Why do you say that the two gutters are not distinct objects. — Metaphysician Undercover
You have two gutters (or that is what I call them). — Ludwig V
It depends what you mean by "divide" and by "object".However, dividing an object in two always produces two new objects (as well as the waste material). — Metaphysician Undercover
This is not exactly wrong, but requires that you recognize that "division" and/or "object" may change their meaning in some contexts. That's why I said:-However, dividing an object in two always produces two new objects (as well as the waste material). — Metaphysician Undercover
I said that the two painted halves do not become objects in their own right, meaning separate, distinct objects. You may argue that this is not dividing the pipe, or that each half becomes a distinct object. I don't mind what you choose. This shouldn't be too difficult for you, since you said earlier:-... if I paint half the pipe blue and half red, the halves do not become objects in their own right, but remain halves of the same pipe, even though they are of different colours. — Ludwig V
And, divisibility is dependent on the type of thing to be divided. Therefore, when it comes to division one standard does not fit all things, and the principles of division must be specifically designed for the different type of things to be divided. — Metaphysician Undercover
Oh, there's no doubt that no-one could actually cut the pipe into halves, and then divide one of the halves into halves ad infinitum. But painting the pipe shows that it depends what you mean by "divide" and/or "object". You could say that painting the pipe is a theoretical, not a practical division; that would be a bit at odds with ordinary language, but we are not speaking ordinary language here.But the fact of waste in any act of division nullifies the validity of the supertask. — Metaphysician Undercover
