[for a brief explanation of this ongoing series, as well as a full table of contents, go here]
Before concluding this overview and inviting you to plunge into the main part of the book, let me briefly discuss some of the surprisingly few papers written by philosophers over the years that explicitly take up the question of progress in their field, as part of scholarship in so-called “metaphilosophy.” I have chosen three of these papers as representative of the (scant) available literature: Moody (1986), Dietrich (2011) and Chalmers (2015). [2] The first one claims that there is indeed progress in philosophy, though with important qualifications, the second one denies it (also with crucial caveats), and the third one takes an intermediate position.
Moody (1986) distinguishes among three conceptions of progress: what he calls Progress-1 takes place when there is a specifiable goal about which people can agree that it has been achieved, or what counts towards achieving it. If you are on a diet, for instance, and decide to lose ten pounds, you have a measurable specific goal, and you can be said to make progress insofar your weight goes down and approaches the specific target (and, of course, you can also measure your regress, should your weight go further up!). Progress-2 occurs when one cannot so clearly specify a goal to be reached, and yet an individual or an external observer can competently judge that progress (or regress) has occurred when comparing the situation a time t vs the situation at time t+1, even though the criteria by which to make that judgment are subjective. Moody suggests, for example, that a composer guided by an inner sense of when they are “getting it right” would be making this sort of progress while composing. Finally, Progress-3 is a hybrid animal, instantiated by situations where there are intermediate but not overarching goals. Interestingly, Moody says that mathematics makes Progress-3, insofar as there is no overall goal of mathematical scholarship, and yet mathematicians do set intermediate goals for themselves, and the achievement of these goals (like the proof of Fermat’s Last Theorem) are recognized as such by the mathematical community. (Moody says that science too makes Progress-3, although as we have discussed before, science actually does have an ultimate, specifiable goal: understanding and explaining the natural world. So I would rather be inclined to say that science makes Progress-1, within Moody’s scheme.)
Moody’s next step is to provisionally assume that philosophy is a type of inquiry, and then ask whether any of his three categories of progress apply to it. The first obstacle is that philosophy does not appear to have consensus-generating procedures such as those found in the natural sciences or in technological fields like engineering. So far so good for my own account given above, since I distinguish progress in the sciences from progress in other fields, particularly philosophy. Moody claims (1986, 37) that “the only thing that philosophers are likely to agree about with enthusiasm is the abysmal inadequacy of a particular theory.” While I think that is actually a bit too pessimistic (we will see that philosophers agree — as a plurality of opinions — on much more than they are normally given credit for), I do not share Moody’s pessimistic assessment of that observation: negative progress, i.e., the elimination of bad ideas, is progress nonetheless. Interestingly, Moody remarks (again, with pessimism that is not warranted in my mind) that in philosophy people talk about “issues” and of “positions,” not of the scientific equivalent “hypotheses” and “results.” I think that is because philosophy is not sufficiently akin to science for the latter terms to make sense within discussions of philosophical inquiry.
Moody soon concludes that philosophy does not make Progress-1 or Progress-3, because its history has not yielded a trail of solved problems. What about Progress-2? Here the discussion is interesting though somewhat marginal to my own project. Moody takes up the possibility that perhaps philosophy is not a type of inquiry after all, and analyzes in some detail two alternative conceptions: Wittgenstein’s (1965) idea of philosophy as “therapy” and Richard Rorty’s (1980) so-called “conversational model” of philosophy. As Moody (1986, 38) magisterially summarizes it: “Wittgenstein believed that philosophical problems are somehow spurious and that the activity of philosophy … should terminate with the withdrawal, or deconstruction, of philosophical questions.” On this view, then, there is progress, of sorts, in philosophy, but it is the sort of “terminus” brought about by committing seppuku. As Moody rather drily comments, while nobody can seriously claim that Wittgenstein’s ideas have not been taken seriously, it is equally undeniable that philosophy has largely gone forward pretty much as if the therapeutic approach had never been articulated. If a proposed account of the nature of philosophy has so blatantly been ignored by the relevant epistemic community, we can safely file it away for the purposes of this book.
Rorty’s starting point is what he took to be the (disputable, in my opinion) observation that philosophy has failed at its self-appointed task of analysis and criticism. Moody quotes him as saying (1986, 39): “The attempts of both analytic philosophers and phenomenologists to ‘ground’ this and ‘criticize’ that were shrugged off by those whose activities were purportedly being grounded and criticized.” Rorty arrived at this because of his rejection of what he sees as philosophy’s “hangover” from the 17th and 18th centuries, when philosophers were attempting to set their inquiry within a framework that allowed a priori truths to be discovered (think Descartes and Kant), even though David Hume had dealt that framework a fatal blow already in the 18th century.
While Moody finds much of Rorty’s analysis on target, I must confess that I don’t, even though it does have some value. For instance, the fact that other disciplines (like science) marched on while refusing to be grounded or criticized by philosophy is neither entirely true (lots of scientists have paid and still pay a significant amount of attention to philosophy of science, for instance) nor should it necessarily be taken as the ultimate test of the value of philosophy even if true: creationists and climate change denialists, after all, shrug off any criticism of their positions, but that doesn’t make such criticism invalid, or futile for that matter (since others are responding to it). Yet, there is something to be said for thinking of philosophy as a “conversation” more than an inquiry, as Rorty did. The problem is that this and other dichotomies presented to us by Rorty are, as Moody himself comments, false: “we do not have to choose between ‘saying something,’ itself a rather empty notion that manages to say virtually nothing, and inquiring, or between ‘conversing’ and ‘interacting with nonhuman reality.’” Indeed we don’t.
But what account, then, can we turn to in order to make sense of progress in philosophy, according to Moody? I recommend the interested reader check Moody’s discussion of Robert Nozick’s (1981) “explanational model” of philosophy, as well as of John Kekes’ (1980) “perennial problems” approach, but my own treatment here will jump to Nicholas Rescher (1978) and the concept of “aporetic clusters,” which is one path that supports the conclusion — according to Moody — that philosophy does make progress, and it is a type-2 progress. Rescher thinks that it is unrealistic to expect consensus in philosophy, and yet does not see this as a problem, but rather as a natural outcome of the nature of philosophical inquiry (1986, 44): “in philosophy, supportive argumentation is never alternative-precluding. Thus the fact that a good case can be made out for giving one particular answer to a philosophical question is never considered as constituting a valid reason for denying that an equally good case can be produced for some other incompatible answers to this question.”
In fact, Rescher thinks that philosophers come up with “families” of alternative solutions to any given philosophical problem, which he labels aporetic clusters. [3] According to this view, some philosophical accounts are eliminated, while others are retained and refined. The keepers become philosophical classics, like “virtue ethics,” “utilitarianism” or “Kantian deontology” in ethics, or “constructive empiricism” and “structural realism” in philosophy of science. Rescher’s view is not at all incompatible with my idea of philosophy as evoking (to use the terminology introduced earlier), and then exploring and refining, peaks in conceptual landscapes. As Moody (1986, 45) aptly summarizes it: “that there are ‘aporetic clusters’ is evidence of a kind of progress. That the necrology of failed arguments is so long is further evidence.”
A very different take on all of this is what we get from the second paper I have selected to get our feet wet for our exploration of progress in philosophy and allied disciplines, the provocatively titled “There is no progress in philosophy,” by Eric Dietrich. The author does not mince words (to be sure, a professional hazard in philosophy, to which I am not immune myself), even going so far as diagnosing people who disagree with his contention that philosophy does not make progress with a mental disability, which he labels “anosognosia” “[a] condition where the affected person denies there is any problem.” I guess the reader should be warned that, apparently, I do suffer from anosognosia.
Dietrich begins by arguing that philosophy is in a relevant sense like science. Specifically, he draws a parallel between strong disagreements among philosophers on, say, utilitarianism vs deontology in ethics, with similarly strong, and lost lasting, disagreements among scientists about issues like group selection in evolutionary biology, or quantum mechanics during the early part of the 20th century. But, Dietrich then adds, philosophy is also relevantly dissimilar from science: scientific disagreements eventually get resolved and the enterprise lurches forward (every physicist nowadays accepts quantum mechanics, having abandoned Einstein’s famous skepticism about it — though this hasn’t happened yet for group selection, it must be pointed out). Philosophical disagreements, instead, have been more or less the same for 3000 years. Conclusion: philosophy does not make progress, it just “stays current,” meaning that it updates its discussions with the times (e.g., today we debate ethical questions surrounding gay rights, not those concerning slavery, as the latter is irrelevant, at the least in many parts of the world).
Dietrich acknowledges that modern philosophy contains many new notions, and lists a number of them (e.g., supervenience, possible worlds, and modal logic). But immediately dismisses the suggestion that these may represent advances in philosophical discourse as “lame.” His evidence is that there is no widespread agreement about any of these notions, so their introductions cannot possibly be seen as advances. It follows that those philosophers who insist in defending their field in this fashion are affected by the above mentioned mental condition.
The reader will have already seen that Dietrich’s point is actually well countered by the preceding discussion, and particularly the explanation put forth by Rescher for why we see aporetic clusters of positions in philosophy. I will develop my own rejection of Dietrich’s sweeping conclusion in terms of non-teleonomic progress instantiated as exploration and refinement of a series of conceptual spaces throughout much of this book. And I will present (empirical!) evidence that philosophers are more in agreement on a wide range of issues than Dietrich and others acknowledge, though the agreement is about the viability of different positions within a given aporetic cluster, not about a single “winning” theory — which makes sense once we conceptualize philosophy in the manner introduced above and to be developed in the following chapters.
But even simply considering Dietrich’s own examples, it is hard to see where exactly he gets the idea that there is overwhelming disagreement: I don’t know of logicians who differ on the validity of modal logic, though of course they will deploy it differently in pursuit of their own specific goals. Nor do I know of anyone who disagrees on the concepts of supervenience or possible worlds, though people do reasonably disagree on what such concepts entail vis-a-vis a number of specific philosophical questions. Dietrich makes his argument in part by way of a thought experiment in which he brings Aristotle back to life and has him attend a couple of college courses: he imagines the Greek finding himself astonished and bewildered in a class on basic physics, but very much at ease in a class in logic or metaphysics (all three subjects, of course, on which Aristotle had a great deal to write, 23 centuries ago). My own intuition, however, is a bit different (we will come back to the use and misuse of intuitions and thought experiments in philosophy). While I agree that Aristotle wouldn’t know what to make of quantum mechanics and general relativity, he would have a lot of catching up to do in order to understand modern logics (plural, as there is an ample variety of them), and even in metaphysics he would have to take at least a remedial course before jumping in with both feet (not to mention that he wouldn’t know what the name of the discipline refers to, since it was adopted after his death).
Dietrich then moves on to introduce another mental illness, apparently affecting a much smaller number of philosophers: nosognosia, a condition under which the patient knows that there is something wrong, but still has some trouble fully accepting the implications. He discusses two such philosophers: Thomas Nagel (1986) and Colin McGinn (1993). Both Nagel and McGinn conclude that philosophical problems are intractable, and, hence, that there is no such thing as philosophical progress. However, they arrive at this conclusion by different routes. For Nagel this is because of an irreconcilable conflict between first (subjective) and third (objective) person accounts. While science deals with the latter, philosophy has to tackle both, and this creates contradictions that cannot be overcome. Here is Dietrich’s summary of Nagel’s view (2011, 339):
“There are three points of view. From the subjective view, we get one set of answers to philosophy questions, and from the objective view, we get another, usually contradictory, set, and from a third view, from which one can see the answers of both the subjective and objective views, one can see that the subjective and objective answers are equally valid and equally true. Therefore, philosophy problems are intractable. Philosophy cannot progress because it cannot solve them.”
McGinn, instead, says that there are answers to philosophical problems, but these — for some mysterious reason — are beyond human reach. Again, Dietrich’s summary (2011, 339):
“There are two relevant points of view. From one, the human view, philosophy problems are intractable. From the other, the alien view, philosophy problems are tractable (perhaps even trivial). The situation here is exactly like the situation with dogs and [the] English [language]. We easily understand it. Dogs understand only a tiny number of words, and seem to know nothing of combinatorial syntax. Therefore, though it is unlikely we can solve any philosophy problems, they are not inherently intractable.”
Briefly, I think both Nagel and McGinn are seriously mistaken — and I believe most philosophers agree, as testified by the straightforward observation that few seem to have stopped philosophizing as a result of considering these (well known) arguments.
Nagel has made a similar claim about the incompatibility of first and third person descriptions before, specifically in philosophy of mind (indeed, we will shortly discuss his classic paper on what it is like to be a bat). But that alleged incompatibility is more simply seen as two different types of descriptions of certain phenomena, descriptions that do not have to be incompatible, and yet that are not reducible to each other. Briefly, the fact that I feel pain (first person, subjective description) and that a neuroscientist will say that my C-fibers have fired (third person, objective description) are both true statements; they are compatible (indeed, I feel pain because my C-fibers are firing, as demonstrated by the fact that if I chemically inhibit that neurological mechanism I thereby cease to feel pain); and they are best understood, respectively, as an experience vs an explanation. But experiences don’t (have to) contradict explanations, assuming that the latter are at the least approximately true. A fortiori, I would like to see a good example of a philosophical problem that necessarily leads to incompatible treatments when tackled from either perspective. I do not think such a thing exists.
McGinn’s position is, quite simply, empty. While the analogy between the advanced understanding of an alien race vs our own primitive capacities and the similar difference between how dogs and humans understand English may seem compelling, there is no independent reason to think that philosophical problems are intractable by the human mind. Indeed, they have been tackled over the course of centuries, and we will see that progress has been made (once we understand “progress” in the way sketched above and to be further unpacked throughout the book). Interestingly, McGinn too, like Nagel before him, applies his approach to philosophy of mind, where he claims that the problem of consciousness cannot be resolved because we are just not smart enough. This “mysterian” position, as it is known, may be correct for all I know, but it doesn’t seem to lead us anywhere.
Similarly, where does Dietrich’s contemptuous rejection of the very idea of philosophical progress lead him? Nowhere, as far as I can see. He concludes by quoting Wittgenstein from the Tractatus: “My propositions are elucidatory in this way: he who understands me finally recognizes them as senseless, when he has climbed out through them, on them, over them. (He must so to speak throw away the ladder, after he has climbed up on it.) What we cannot speak about we must pass over in silence.” And yet, again, philosophy has persisted in existing as a field (I would be so bold as say, in moving forward!) despite Wittgenstein, and I greatly suspect will do much the same despite Dietrich’s cynicism.
A few comments now on Chalmer’s (2015) contribution to the question of progress, or lack thereof, in philosophy. He stakes a reasonable intermediate position, acknowledging that philosophy clearly has made progress, but asking why it hasn’t achieved more. He arrives at the first conclusion by a number of ways, including noting the incontrovertible fact that, for instance, the works of highly notable philosophers like Plato, Aristotle, Hume, Kant, Frege, Russell, Kripke, and Lewis have clearly been progressive with respect to the thinkers that preceded them, no matter what one’s conception of “progress” happens to be. Chalmers goes on to briefly discuss a number of way in which philosophy has, in fact, made progress: there has been convergence on some of the big questions (e.g., most professional philosophers are atheists and physicalists about mind), as well as some of the smaller ones (e.g., knowledge is not simply justified true belief, conditional probabilities are not probabilities of conditionals).
Still, maintains Chalmers, the progress that philosophy has made is slow and small in comparison to that of the natural (but not, he argues, the social) sciences. He discusses some possible explanations for this difference between philosophy and science, including: “disciplinary speciation,” the fact that new disciplines spin off philosophy precisely when they do begin to make sustained progress, like physics, psychology, economics, linguistics, and so on; “anti-realism,” the idea that certain areas of philosophy do not converge on truth because there is no such truth to be found (e.g., moral philosophy); “verbal disputes,” the Wittgensteinian point that at the least some debates in philosophy are more about using language at cross-purposes than about substantive differences (e.g., free will); “greater distance from the data,” meaning that for some reasons philosophy operates nearer the periphery of Quine’s famous web of beliefs (more on this in the next chapters); “sociological explanations,” where some positions become dominant, or recede in the background, because of the influence of individual philosophers within a given generation (e.g., the unpopularity of the analytic-synthetic distinction during Quine’s active academic career); “psychological explanations,” in the sense that individual philosophers may be more or less prone to endorse certain positions as a result of their character and other psychological traits; and “evolutionary explanations,” the contention that perhaps our naturally evolved minds are smart enough to pose philosophical questions but not to answer them.
Chalmers’ conclusion is that there may be some degree of truth to all seven explanations, but that they do not provide the full picture, in part because some of them apply to other fields as well: it’s not like natural scientists don’t have their own sociological and psychological quirks to deal with, and we may not be smart enough to settle philosophical questions, but we do seem smart enough to develop quantum mechanics and to solve Fermat’s Last Theorem. I think he is mostly on target, but I also think that the missing part of the explanation in his analysis derives from a crucial assumption that he made and that I will reject throughout this book: philosophy is simply not in the same sort of business as the natural sciences, so any talk of direct comparison in terms of progress and truths at the least partially misses the point. Right at the beginning of his paper Chalmers states: “The measure of progress I will use is collective convergence to the truth. The benchmark I will use is comparison to the hard sciences.” This is precisely what I will not do here, though it will take a bit to articulate and defend why.
A final parting note, in the spirit of Introductions as reading keys to one’s book. Friends and reviewers have of course commented on what you are about to read. Some of them found me too critical of, say, the continental approach to philosophy. Others, predictably, found me not critical enough. Some people thought parts of the book are too difficult for a generally educated reader (true), while other people thought some parts would be too obvious to a professional philosopher (also true). This was by design: I am writing with multiple audiences in mind, and I never believed one has to get one hundred percent of the references or arguments in a book in order to enjoy or learn from it (try to read the above quoted Wittgenstein that way and see how far you get, even as a professional philosopher — and there are much more blatant examples available). And of course the complaint has reasonably been raised that I don’t go into the proper degree of depth on a number of important technical issues in philosophy of science, of mathematics, of logic, and of philosophy itself (i.e., in meta-philosophy). Again, true. But what you are about to read is not meant as, nor could it possibly be, either an encyclopedia on philosophical thought or a set of simultaneous original contributions to many of the sub-specialties and specific issues I touch on. Rather, the goal is to pull together, the best I can, what a number of excellent thinkers have said on a variety of issues, connecting them into an overarching narrative that can provide a preliminary, organic stab at the question at the core of the book: does philosophy make progress, and if so, in which sense? I hope that that is justification enough for what you are about to read. And I am confident that better thinkers than I will soon make further progress down this road.
There are, of course, a number of people to whom I am grateful, either for reading drafts of this book (in toto or in part), or for having influenced what I am trying to do here as a result of our discussions. Among these are some of my colleagues at the City University of New York’s Graduate Center, particularly Graham Priest (for discussions about the nature of logic), Jesse Prinz (for discussions about the nature of everything, but particularly science), and Peter Godfrey-Smith (on the nature of science and specifically biology). Leonard Finkleman is one of those who have read the book in its entirety, an effort for which I will be forever grateful. Thanks also to Dan Tippens for specific comments on two chapters (on progress in mathematics & logic, and in philosophy). Elizabeth Branch Dyson, at Chicago Press, has been immensely patient with my revisions of the original manuscript, not to mention as encouraging as an editor could possibly be (and has kindly agreed to finally publish the whole shebang in the form you are reading). I would also like to thank Patricia Churchland and Elliot Sober for the initial support when this project was at the stage of a proposal, as well as two anonymous reviewers for their severe, but obviously well intentioned, criticisms of previous drafts.
Notes
[2] Although see also the delightful dialogue by Hansson (2012), featuring a graduate student and two professors of philosophy traveling with him to a conference on teaching philosophy.
[3] Interestingly, from the Greek aporetikos, which means impassable, very difficult, or hard to deal with.
References
Chalmers, D. (2015) Why Isn’t There More Progress in Philosophy? Philosophy 90:3-31.
Dietrich, E. (2011) There is no progress in philosophy. Essays in Philosophy 12:329-344.
Hansson, S.O. (2012) Editorial: Progress in Philosophy? A Dialogue. Theoria 78:181-185.
Kekes, J. (1980) The Nature of Philosophy. Rowman and Littlefield.
McGinn, C. (1993) Problems in Philosophy: The Limits of Inquiry. Blackwell.
Moody, T.C. (2006) Progress in philosophy. American Philosophical Quarterly 23:35-46.
Nagel, T. (1986) The View From Nowhere. Oxford University Press.
Nozick, R. (1981) Philosophical Explanations. Harvard University Press.
Rescher, N. (1978) Philosophical disagreements: an essay toward orientational pluralism in metaphilosophy. Review of Metaphysics 32:217-251.
Rorty, R. (1980) Philosophy and the Mirror of Nature. Blackwell.
Wittgenstein, L. (1965) The Blue and Brown Books. Harper and Row.

Take away quotes from Socratic’s link to Metaphilosophy:
“Definitions may be given in this way of any field where a body of definite knowledge exists. But philosophy cannot be so defined. Any definition is controversial and already embodies a philosophic attitude. The only way to find out what philosophy is, is to do philosophy.” – Bertrand Russell
“When we ask, “What is philosophy?” then we are speaking about philosophy. By asking in this way we are obviously taking a stand above and, therefore, outside of philosophy. But the aim of our question is to enter into philosophy, to tarry in it, to conduct ourselves in its manner, that is, to “philosophize.” – Martin Heidegger
I must say it is remarkable to find Russel and Heidegger agreeing on something – indeed, on anything!
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“When we ask, “What is philosophy?” then we are speaking about philosophy. By asking in this way we are obviously taking a stand above and, therefore, outside of philosophy. But the aim of our question is to enter into philosophy, to tarry in it, to conduct ourselves in its manner, that is, to “philosophize.” – Martin Heidegger
It’s remarkable to find Heidegger saying something I can understand.
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Hi synred,
> However, one might ask how one would operational verify the mathematics is platonic?
Indeed, one cannot. As I said on the last thread, it’s more a question of attitude than a matter of fact. BTW, denial of Platonism also fails the logical positivist BS detector test.
> I doubt there are any Platonist biologist.
Think again. Some biologists see evolution as exploring a Platonic space of possibilities. Andreas Wagner explores these ideas in his book Arrival of the Fittest. I haven’t actually read it, but I watched a video of him talking about his ideas here:
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DM,
“ideally, we would like philosophy to settle on correct answers to questions, and in that sense the reality of philosophy is rather disappointing”
One of the notions I develop in the book is that that way of looking at it — based on the model of science — is not appropriate to philosophy. Philosophy, for me, is in the business of developing and exploring a number of alternative frameworks for problems. These frameworks remain underdetermined by the empirical evidence, unless they can be settled empirically, in which case they become science.
“I’m not so sure that mathematics doesn’t have a goal analogous to that of the natural sciences in understanding the natural world”
That’s because you are a Platonist, which, as you know, I’m not.
Oh, and with all due respect for Andreas Wagner, who is a good colleague, I think he’s got off the rails on this one. He is setting back the clock by more than a century with that line of reasoning, and he’s most definitely unusual among biologists.
jbonnicerenoreg,
“Will you be saying much about technology which in the popular mind (penicillin and moon shots) represents progress in science as opposed to philosophy which is still trying to figure out the same problems as Plato?”
No, I won’t talk about technology, only science. As others have pointed out, science also is still grappling with the same questions (developmental biology, the origin of humanity, the origin of the universe), but provides different, provisional answers to those questions. And of course philosophy has generated new questions just like science (issue in metaethics, or philosophy of mind, that Plato simply couldn’t have thought about). So I think it is misleading to draw the distinction between science and philosophy that way.
manus,
“The situation is a bit unfair to philosophy because as soon as it is starting to make progress in any area, by developing methods that work to takle a range of problems, that area ceases to be philosophy”
Yes, there is *also* that to take into account. And if one takes the history of ideas seriously one then becomes much less confrontational and territorial, I think, about who deserves credit for what.
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Hi Massimo,
> One of the notions I develop in the book is that that way of looking at it — based on the model of science — is not appropriate to philosophy.
Oh, totally. I get that, believe me. But I think it would be wrong to suggest that we wouldn’t want philosophy *ideally* to find the right answers to problems. In the real world, that’s not possible, so we’re left with the notion of progress you develop in the book instead. But it’s very much a consolation prize as far as I see it.
> That’s because you are a Platonist, which, as you know, I’m not.
I don’t see why. Amassing as big a list of mathematical truths (or techniques to find mathematical truths) is a clear goal, and doesn’t really depend on having a Platonist viewpoint.
Naturally I disagree with you about Wagner. I think his way of thinking is exactly right and I think it’s helping to advance the field. Perhaps he is unusual among biologists but he is probably not particularly unique. I seem to recall Dawkins talking in similar terms in one of his books on evolution (not that you have a high opinion of Dawkins, of course).
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Then there would be the bottom up view, that philosophy is simply expanding our horizons of knowledge and so it would make sense that as conceptual structures solidify and take form, they would branch out as distinct fields, leaving the general process to keep pushing off into the unknown.
One thought to keep in mind though, about thinking it should take some distinct and settled form, is that it does. The original conceptual structures became religions, from the eastern dualisms to the western monisms.
So that it is more process than form, is not to be totally disregarded as a sign of failure.
Also keep in mind that it took humanity millions of years to properly evolve stone working, so that we haven’t fully settled our conceptual understanding of reality after a few thousand years is not really surprising.
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I enjoyed the introduction (a tall order you’ve set yourself!) and shall steel myself against the short shrift you admit to giving the Continental tradition, which, I hope you at least couch in the context of qualitative analysis (which I know makes many an Analytic cringe) and political intervention. The Continental tradition is largely an interventionary discipline and it has to be asserted that this is what unconsciously cheeses of its more conservative/hubristic cousins. The analytic tradition, despite Wittgenstein, clings to its precious logic(s)–in spite of if not contemptuous of deconstruction and poststructuralism and the properly aporetic nature of inquiry, Linguistics is the common ground and there must, ultimately, be some give and take for real progress to occur on either side–or ideally together! I don’t set myself up as an expert, btw! and I look forward to much edification. I also enjoy your accessible prose style, even if I disagree : )
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Stephen Wolfram [a] gave an interesting talk (I’ve lost the link for the moment) about how cellular automata (its likely in his book), in which he talks about nature exploring the space of possible rules. These rules for next cell state depending on itself and the adjacent cells states are finite number and give a variety of behaviors from simple to complex.
Many of these patterns appear to show up in nature (shell patterns, usw.) ‘as if’ nature was ‘discovering’ the possible rules. I’d say it just accidentally lands on them and if they work they work and the animal survives.
Of course nature and mathematicians can only land on possible rules.
[a] I knew Stephen W. briefly was a summer student at Argonne National Laboratory and I was a post-doc. He took messiest office status from me in his short time there.
He had written a well thought of particle theory paper as a high school student and came to ANL as an undergrad. He was for a brit surprisingly ignorant of anything outside physics and math, but it seems he’s got beyond that since.
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And of course philosophy has generated new questions just like science (issue in metaethics, or philosophy of mind, that Plato simply couldn’t have thought about).
I would call new question progress!
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Mathematical “truths”?
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@Michael Fugate,
> Mathematical “truths”?
You may not want to call them truths, but surely you know what I mean. Theorems and the like. Basically, working out the consequences of certain sets of axioms. I’m not debating Platonism here, I’m just saying that the goal of mathematics seems to be reasonably clear — about as clear as the goal of the sciences it seems to me.
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I don’t see how mathematical ‘truths’ can be denied. You can call them ‘trivial’ in a formal sense, but they are w/o doubt true. And not that trivial to figure out.
Given a set of axioms mathematicians explore the possibilities. I would not consider that Platonism ala Tegmark.
Finding and proving new theorems is progress. The theorems are implicit in the axioms, but are discovered by working out the consequences of those axioms.
The axioms are ‘invented’ if you like. Inconsistent Axioms can be invented, but their inconsistence, hopefully, will be discovered when somebody proves 0=1 or some such.
That only possible axioms can be invented seems to me tautological.
What is so confusing about that?
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The discussion was about platonism in mathematics and biology – I just wondered where it was going, but if mathematical or biological “truth” has no link to platonism, then why bring it up?
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I don’t get the denial of mathematical truth either.
It us true that game of life is a universal machine. It is true that there is no kargest prime, etc.
Certainly the axioms are neither true nor false, but that does not imply that the same is true of the axioms based on them. The truth value of a statement like “X follows from axioms A” does not depend upon A having truth values.
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As I recall, platonism was originally known as “platonic ideals.” That there was some essential attribute or quality that was the essence of a thing and its real world expression was only an imperfect expression of that.
This then is transferred to math, in the sense that mathematical truths existed as some perfect expression of how nature is and they only had to be uncovered from the messy reality.
Yet it would seem mathematical truths are more on the line of tautologies and regularities and that such laws only emerge with the properties they describe, rather than pre-existing their expression. They are universal to the extent the same processes keep expressing themselves.
Say for instance you start with a void. It has no physical properties and so nothing to limit, distort or destabilize it. This would leave it with the non-physical qualities of infinity and equilibrium. Then say it is disturbed, a fluctuation to the vacuum. Then you get qualities like energy, polarity, temperature. Then say structures start to form from the polarities and more complex relationships start to build.
So would all the laws governing these increasingly complex relationships be inherent to the void, or do they emerge with all the interactions, which naturally start off basic and grow complex?
It would seem the more elemental the processes, the basic and predictable the interactions and these comprise the “hard sciences,” but as the level of complexity grows increasingly exponential, the constancy of the laws grows increasingly nebulous.
Now the assumption is that if we follow out every fluctuation of the equilibrium, we would theoretically describe any and every act.
But that overlooks the other property of the void; Infinity.
When math tries to tackle infinity, the feedback quickly grows chaotic.
So it would seem order is based on equilibrium and it is circumscribed by infinity.
When we discover regularities and tautologies within otherwise complex situations, we find a little equilibrium.
” The truth value of a statement like “X follows from axioms A” does not depend upon A having truth values.”
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In kind of old fashion language one might say the truth of X is on the truth of A.
However, A can just be a arbitrarily invented/made up axiom that may or may not approximate the real world. The statement “X follows from A” remains true regardless. I wouldn’t think this would be in the least bit controversial, right?
Of course, interesting axioms are often abstracted from the world. Euclidean geometry turns out to be a pretty could approximation and works perfectly for building buildings. Newtonian gravity is pretty good too. You don’t need Einstein to hit mars. It helps if Lockheed and Ford Aerospace use the same units!
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And I notice I used the wrong word above, i should have said “theorems based on them …”
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There’s something that strikes me each time as I try to read a philosophical text.
The development – the “progress” – of a science like physics goes hand in hand with the development of new tools. Sometimes it’s possible because of new tools. Spectroscopy made huge advances when tools were developed to study blackbody radiation. QM made huge advances because it had the (then relatively new) mathematical tools of group theory, Hilbert spaces, Banach spaces etc. Sometimes progress in physics leads to new tools. Torricelli had scales and glass tubes etc., now we have the enormous detectors that discovered the Higgs. I assume the same is true in other sciences like biology or chemistry.
But I don’t see anything comparable in philosophy. Each time I read a philosophical text, it’s mainly logico-verbal analysis (complemented by something one could call “observations”, but I don’t want to go into that aspect). One defines something – a distinction or a zombie or so. Some of the properties of the distinction and the zombie are explicitly stated, others are often implicit, but what follows is logico-verbal analysis of the sort that Aristoteles would understand immediately. A text about Gödel or another weird mathematical theorem usually contains some mathematics, but the philosophical argument is always logico-verbal. In a certain sense, philosophy is still using the tools of Plato. Nothing wrong with that, but one gets the impression that it still *predominantly* uses the tools of Plato and I find that strange. No biologist or chemist or physicist predominantly uses the tools of the 12th century.
It’s an impression, so I may be wrong. One could argue that Heidegger tried to develop a new tool – a “new language” – but one can also argue that he didn’t succeed and that the result was gibberish. Perhaps possible world semantics is a better example, although it strikes me as quite logico-verbal. One could also – very logico-verbally – question what counts as a new tool. Is the difference between Torricelli and CERN only quantitative or is it qualitative? Are a scale and the immensely complex machinery in HEP labs just “detectors” and therefore not qualitatively different? I think that’s taking the abstract viewpoint too far. But take philosopher X who makes more or other distinctions than philosopher Y, or who thinks up an even weirder zombie. I personally don’t feel that X developed a qualitatively new tool. He uses logico-verbal analysis.
I’m not claiming that logico-verbal analysis can’t be subtle, insightful etc., nor that philosophy doesn’t make progress. I’m just surprised.
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Particle physics has been using the same conceptual tools since Rutherford [a] discovered the structure of atoms. The basic idea is we crash particles together and see what happens.
In Rutherford’s case he threw alpha particles (Helium Nuclei) at gold atoms (in foil) and saw the alphas bouncing back toward him, showing there was something ‘hard’ in there and that atoms were not analogous to a plum pudding.
Modern experiments include a bit more. Instead of just looking at ‘elastic’ interactions in which the projectile bounces off the target, we look at things where there is a big smash up and all kinds of stuff comes flying out every-which-way.
E.g., LHC where protons are collided with protons (projectile and target are the same) produces masses of boring particles and an occasional Higgs. About 20% off interactions are elastic, but they mostly go down the beam pipe and aren’t detected.
So the basic things that different is that the energies are much higher than they were for Rutherford To get to those energies involved many advances in technology.
The superconducting magnet in your local MRI was one of the by-products. So was the Web.
Whether ‘cavemen’ smashing rocks together gave them much insight into what rocks are made of (other than rock) I don’t know. The energy of their ‘accelerator’ was too low to learn much.
.
[a] http://www.chemheritage.org/discover/online-resources/chemistry-in-history/themes/atomic-and-nuclear-structure/rutherford.aspx
[b] http://myweb.usf.edu/~mhight/goldfoil.html
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So long as philosophy tries to play on the “progress” field, it is going to lose. I don’t care how you define ‘progress’. I don’t care how many hairs you split in distinguishing Progress(a) from Progress(b) from Progress(c).
Philosophy employs logical, linguistic, analogical and other tools to thougtfully and critically examine matters of human concern and especially — though not exclusively — matters of value. That is its central task and its greatest value to us, and when done well it can clarify, illuminate, highlight, distinguish, relate, and do other such things for us.
That seems to me to be more than valuable enough to justify its worthiness as an activity. But trying to get it to prove its value on other sorts of playing fields is always going to be a loser, and neither philosophy nor we will be the better for it.
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Hi Daniel,
Don’t you consider Wittgenstein to be progress? He certainly was different.
I guess maybe the problem is there’s no consensus and nothing analogues to observation and experiment to inforce consensus.
As philosopher’s likely can never agree, at least from the outside it’s likely to look like there’s no progress.
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I’m agreeing with Dan more and more that “progress” in discussions of philosophy, if we do use the word, at a minimum should be qualitative, first and foremost. If it, in its “love of wisdom,” is still asking questions that are relevant, that’s the first and foremost thing.
Take ethics. As we discover more about animal nature, Singer is positing relevant discussion, whether one agrees with his take or not.
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Or take matters of volition, exactly where they fall in philosophy. Dan Wegner, even though “officially” a psychologist, and others have sparked relevant discussion there.
Certainly, with speed bumps and all, x-phil has done some of that.
On the “philosophy of” issues, probably “philosophy of science” should have started splitting into “philosophy of [individual sciences]” once Bohr trotted out the “Copenhagen interpretation,” to at least hive off “philosophy of physics.”
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synred: I do think that the sorts of things I described — greater clarity, illumination, the capacity to make better distinctions, and the like — do represent a *kind* of progress, but that’s not what people typically mean when they hear the word. And I don’t see us having the ability to change that common understanding, no matter what we do.
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Dan,
Yes, we do like to think linearly, but unfortunately nature functions cyclically.
That’s life.
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Cyclically on some times scales, more like linear or at least not cyclical on the longest times scales we can measure (looking backwards).
And you don’t have to ‘believe in the big bang’ to say this, just use a powerful enough telescope (like Hubble, Keck or even Palomar with which Hubble [a] the scientist discovered the expansion of the universe.)
[a] https://en.wikipedia.org/wiki/Edwin_Hubble
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Arthur,
I just argued for space being infinite!
It’s the stuff in it that is cyclical/reciprocal/polarized/dualistic….
Events go future to past. Energy goes past to future.
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Brodix; I had a long response to this, but WordPress just ate it.
It amounted to I think you need to learn some physics like lapnut needed to learn some philosophy. Sometimes what you post makes sense, but other times it just looks like ‘word salad’ full of ‘change’, ‘infinity’ and ‘frequency’ and, to me, signifying nothing I can understand.
Try to use the positivist BS detector: How would you verify that statement operationally out in the world? What would you do to test it? What evidence would show it to be untrue?
There are, I think, legit philosophical issues that will set of the BS detector, but it is a good first pass at what’s worth spending your time on.
Sorry.
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DM,
“I think it would be wrong to suggest that we wouldn’t want philosophy *ideally* to find the right answers to problems”
I think that’s missing my point. I suggest in the chapter on progress in philosophy that there are no answers to philosophical questions, only a series of alternative frameworks that may be more or less useful. Any question that is amenable to empirically-based answers becomes ipso facto science.
“Amassing as big a list of mathematical truths (or techniques to find mathematical truths) is a clear goal, and doesn’t really depend on having a Platonist viewpoint”
The issue is that those goals are internally generated, according to the analysis presented, that is, they are evoked, to use Smolin’s terminology (unless, as I said, one is a Platonist, in which case the objectives are “out there”). So in that sense mathematical problems will keep multiplying by self-generation, and mathematics will never converge anywhere, no “theory of everything,” unlike – maybe – science because it actually pursues questions that are not evoked, but pertinent to stuff that exists in a mind-independent way).
“I disagree with you about Wagner. I think his way of thinking is exactly right and I think it’s helping to advance the field”
As I said, he;s bringing the field back by a century. He situated himself in a now defunct internalist tradition in biology, which was pursued mostly by German developmental biologists in the 19th and early part of the 20th century. It doesn’t take seriously Darwinism, ecological theory, the idea that empty niches don’t exist (because niches are created by organism-environment interactions) and so forth. I can see the lure of that position, but my bet is that it’s not going to go anywhere. Plenty of others have tried before, and failed.
Robin,
“I don’t get the denial of mathematical truth either”
Well, when we get to discuss that point I suggest that “truth” actually has multiple meanings and multiple references, which should be kept separate. So, yes, we can use terms like mathematical (and logical) truths, as long as we are clear that we are not talking about the same thing as when we say that it is true that the Sun is a star. I think empirical truths are of a very different nature from mathematical-logical ones (again, unless one is a Platonist, which I’m not, as I said a number of times).
couvent,
“The development – the “progress” – of a science like physics goes hand in hand with the development of new tools.”
Well, philosophy has come up with new *conceptual* tools, just like science. The fact that it hasn’t come up with empirical tools is true, but also irrelevant, since philosophy isn’t in the business of doing empirical research (I’ll get to so-called XPhi near the end of the book).
Dan,
“I do think that the sorts of things I described — greater clarity, illumination, the capacity to make better distinctions, and the like — do represent a *kind* of progress”
I detect a resistance on your part, and yet an admission that philosophy does in fact make progress. Earlier you say that philosophy doesn’t make progress “no matter how progress is defined,” but you admitted that there is conceptual progress, e.g., as instantiated by Wittgenstein.
As for the word “progress” having a lay term that is difficult to reconcile with what we are discussing here, frankly, who cares? This is a technical discussion aimed at people interested in philosophy, so we are free to explore the meaning of terms, and even clarify or alter their definition, as suitable for our goals.
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So, yes, we can use terms like mathematical (and logical) truths, as long as we are clear that we are not talking about the same thing as when we say that it is true that the Sun is a star.
Is there much confusion about this?
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