Last week I was ‘touring’ in Scotland, first in St. Andrews for a workshop on medieval logic and metaphysics, and then in Edinburgh for a workshop on philosophical methodologies, organized by the Edinburgh Women in Philosophy Group. In the latter, I presented a paper entitled ‘Virtuous adversariality as a model for philosophical inquiry’, which grew out of a number of blog posts on the topic I’ve been writing in the recent past (here, here and here). Quoting from the abstract:

In my talk, I will develop a model for philosophical inquiry that I call 'virtuous adversariality', which is meant to be a response to critics from both sides [those who criticize and those who endorse adversariality in philosophy]. Its key feature is the idea that a certain form of adversariality, more specifically disagreement and debate, is indeed at the heart of philosophy, but that philosophical inquiry also has a strong cooperative, virtuous component which regulates and constrains the adversarial component. The main inspiration for this model comes from ancient Greek dialectic.

And so I gave my talk, and somewhat against the spirit of it, everybody in the audience seemed to agree with pretty much everything I had said – where are these opponents when you need them? But one person, Amia Srinivasan (Oxford), raised what is perhaps the most serious objection to any adversarial mode of inquiry, virtuous or not: it may well minimize our endorsement of false beliefs, but it does so at the risk of also minimizing our endorsement of true beliefs.


Indeed, there are two epistemic desiderata we should (and typically do) hold in high esteem: minimizing false beliefs and maximizing true beliefs. These two desiderata must be combined, otherwise we may end up concluding that not believing anything (which a fortiori minimizes endorsement of false beliefs) and believing everything (which a fortiori maximizes endorsement of true beliefs) are two excellent epistemic strategies. Obviously, both these strategies seem rather hopeless, and one popular proposal in the literature (especially in formal epistemology) is to focus on the concept of accuracy as a way to balance both desiderata.

Amia’s worry is spot-on, and indeed it is a 2500 year-old worry. (The day before, Ben Kotzee (Birmingham) had raised similar worries in conversation.) Socrates famously proclaimed that the only thing he knew is that he did not know anything, as his method of questions and answers would be well placed to purge interlocutors (himself included, at least in theory…) of mistaken beliefs and epistemic incoherences, but not to establish substantive, positive theses. (This point is related to some of my ideas on reductio proofs; a reductio proof is at first essentially a Socratic refutation, but the final step, from absurdity to the assertion of a thesis, falls outside the realm of refutation – and happens to be quite contentious, if you ask me…) So the method seems to be good at minimizing false beliefs, but seems to lack the resources to respond to the other, equally significant desideratum of maximizing true beliefs.

My response to Amia during Q&A, somewhat hand-wavely, was that the framework still had the resources to deal with this worry. As the Oxford-trained philosopher that she is, Amia was not going to let me get away with hand-waving, and in conversation after the session she wanted to hear in more detail how exactly this worry could be addressed within the framework of (virtuous) adversariality. I’m thankful to Amia for having been the perfect virtuous opponent, because she forced me to look more actively for a solution. As a matter of fact, it came from the other historical period I specialize in: medieval philosophy. (This solution, which I briefly sketched to her, seemed to placate Amia's main worries, at least temporarily…) 

As is well known, medieval scholastic philosophy developed a number of highly regimented forms of argumentation, indeed so regimented and ‘artificial’ that renaissance philosophers ended up rejecting them vehemently and mocking the hair-splitting nature of these debates. The ones most relevant for my purposes, unsurprisingly, are the ones discussed in section 2.6 of the SEP entry on literary forms of medieval philosophy, Disputation and Quaestio, and neatly defined by this passage quoted in the SEP entry:

A disputed question is a regular form of teaching, apprenticeship and research, presided over by a master, characterized by a dialectical method which consists of bringing forward and examining arguments based on reason and authority which oppose one another on a given theoretical or practical problem and which are furnished by participants, and where the master must come to a doctrinal solution by an act of determination which confirms him in his function as master. (Bazán 1985, 40)

As this passage correctly points out, the procedure is dialectical in nature; as in ancient dialectic, it begins by raising a question, usually one that would receive a yes/no answer. Here is an example from Buridan’s Questions on the Prior Analytics (incidentally, the text I was presenting on in St. Andrews): “Whether the definition of syllogism formulated by Aristotle is a good one.” Buridan goes on to present arguments on why it is not a good definition, then arguments on why it is a good definition. Once the two sides are argued for, it is decided which side has the stronger arguments, and a conclusion is reached (by a master, in the case of real-life disputations, or by the author, in the case of textual enactment of the disputation format.) (In case anyone is wondering: unsurprisingly, Buridan concludes that Aristotle's definition of a syllogism is fine as is.)

Thus, different from the original Socratic method, a positive conclusion is reached at the end of such medieval disputations. Another favorable feature of the model is that, once a conclusion is reached, its defender must go back to the arguments against the chosen position, and argue that they are not compelling/convincing after all. As noted by E. Sweeney in the SEP entry, this model has been accurately described as the ‘institutionalization of conflict’ – so it’s no surprise that it comes so close to my idea of virtuous adversariality. 

As a matter of fact, I think that much of what is done in philosophical papers these days follows more or less loosely this format: state a thesis, raise possible objections, respond to them etc. It is indeed a general principle that I teach my budding students who are still learning to write philosophy essays. But perhaps we all too often fail to appreciate how thoroughly dialectical/dialogical this whole procedure is, and how the very idea of looking at an issue from both sides has an essential adversarial component. Moreover, and more importantly for this post, this approach seems to offer a response to the worry of not being conducive to the maximazation of true beliefs which plagues ancient dialectic, and thus to provide a fruitful model for philosophical inquiry in general.

Conclusion: Go medievals! Go virtuous opponents! 

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15 responses to “Adversariality and maximizing true beliefs”

  1. Tony Booth Avatar
    Tony Booth

    Nice post! But couldn’t you just have replied like this? Through being virtuously adversarial we come to learn that we shouldn’t believe some false proposition p. So we come to believe that q (where q is the proposition that p is false). Our belief that q is true! So, hey presto, we now have a true belief that we didn’t have before, and so satisfy the aim of acquiring true beliefs (as well as the aim of avoiding false ones)…

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  2. n Avatar
    n

    Maximizing true beliefs and minimizing false ones is always good, but I think the dialectic has a different scope. For instance, the maximization of novel ideas, ones that neither adversary would have had without the dialectic, is also a result of such conversation. There are other methodologies, like scientific or mathematical proof, for evaluating fact from fiction, but the dialectic lends itself to the stretching of our argumentative ability (in addition to getting at the truth). Insofar as conceptual novelty is a good thing, this is a point in dialectic’s favor.
    This opinion opposes the Socratic or medieval traditions in which Socrates or the master comes to some conclusion they (likely) had in mind all along. The point is to see where the conversation will lead, not to lead the conversation — as you were lead back to the medieval scholastics. Does this sacrifice truth for novelty? Probably sometimes. At least it means that I am not 100% focused on truth because I spend time pushing my arguments to places they haven’t been. But without novel ideas, there won’t be anything to evaluate for truth, either, and especially no new novel truths.

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  3. Catarina Dutilh Novaes Avatar

    Ok, but that’s too much of a philosopher’s trick, don’t you think? 🙂 If all our true beliefs are of the form ‘p is not true’ (which does not need to correspond to ‘not-p is true’), then we won’t go very far in this world. But yes, point taken!

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  4. Catarina Dutilh Novaes Avatar

    I’d be interested to hear more on this idea of dialectic as a tool for discovery. In the Aristotelian model developed in the Topics, there is no room for novelty, as from the start the participants know what the thesis to be argued for is. Descartes complained of scholastic logic that it is only a tool to expound to others what one already knows. So you seem to have something else in mind, and I’m curious to hear what it is. (Logic as a ‘tool for discovery’ is something I talk about quite extensively in my book on formal languages.)

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  5. Tony Booth Avatar
    Tony Booth

    LOL, Katerina. Perhaps you’re right! But I think the claim that we won’t go far in this world with only beliefs of the form ‘p is not true’ is a very ‘substantive’ one. And one that needs a lot more support than that given by the dual epistemic aim issue. What I said before is meant to illustrate that the dual epistemic aim stuff is not supposed to address that concern, but a slightly different one: that one can’t be epistemically successful by having no doxastic attitudes at all (by, say, deciding to live in a sensory deprivation tank, is a favourite example). There’s quite a difference, surely, between not having any beliefs and having lots of beliefs that ‘p is not true’. Again, while it’s clearly the case that we’re not being epistemically successful doing the former, it’s not clear that we’re not being successful doing the latter.

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  6. Tony Booth Avatar
    Tony Booth

    So, so sorry!! Should be ‘Catarina’!! :S [A colleague spells it the other way and has indoctrinated me!!]

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  7. n Avatar
    n

    I think you said it actually: “I’m thankful to Amia for having been the perfect virtuous opponent, because she forced me to look more actively for a solution.” The virtuous interlocultor forced you to search for a new idea to both respond to her criticisms and maintain your position. It is this aspect of dialectic, when the discussion gets speculative on both sides and no one knows what the truth is, that makes it good for research.
    There is an issue about being dogmatic here: If you have already decided upon the conclusion, as historically was the case, or are too beholden to some concepts, then there is little room for novelty. (Good for pedagogy, however, if all arguments lead to the desired conclusions.) All parties in a dialectic have to be willing to give up or change some of their views and not know where they are going, if they want to get somewhere new.

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  8. Rune Nyrup Avatar

    It seems to me that the deeper problem with Tony Booth’s solution is that not accepting a proposition isn’t the same as accepting its negation. I took it that the problem with the adversariality model is that it is good at finding flaws in arguments, but not at producing positive arguments. Given any proposed argument for OR against a given proposition, an ideally skilled adversary can find some reason to doubt it (e.g. the inference is invalid, the premises are doubtful, the underlying metaphilosophy is untenable, etc.) So the problem is not that we end up accepting a lot of negative conclusions but that we won’t accept any conclusions whatsoever – scepticism.

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  9. n Avatar
    n

    @ Rune:
    I think there is a problem with your ‘ideally skilled’ adversary. There is no guarantee that there is any such person that can find a defeating argument for any proposed claim. Consider that all argumentation has to start with some common accepted premises (save, maybe, some metaphysical claims which is a separate issue from this discussion). So finding a counterargument, given the set of premises, is not trivial. If we start arguing about the continuum hypothesis or some other big topic, any new argument for or against it is worthwhile.
    This goes back to what I was saying above: we have to separate truth and novelty. Novelty is good for research, and truth comes later.

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  10. Tony Booth Avatar
    Tony Booth

    Hi Rune. I don’t think it’s quite so easy. I agree that not accepting a proposition isn’t the same as accepting its negation – one might fail to believe that p simply because one has never considered whether p (one does not thereby believe that not p). But, finding a flaw in an argument ought to justify an inference to believe certain propositions, that not p, for instance or the belief that the overall evidence for p is inconclusive. In other words, by finding flaws, we can learn stuff! It might be true (though I doubt it) that psychologically speaking we tend not to come to any beliefs when we engage in flaw finding, but I’d like to see the empirical evidence for that claim.

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  11. Rune Nyrup Avatar

    Hi Tony. Thank you for clarifying, these are good points. The situation I have in mind is one where both adversaries are effective at undermining each others arguments, or at least at holding their ground against the arguments of the other. So we might gain meta-knowledge of the form “there is reasonable disagreement about P” or “there are no convincing arguments for or against P”. But on the questions we were originally interested in, no conclusive knowledge is gained. Furthermore, adversariality may reproduce itself at the meta-level, making even reasonable disagreement or considered agnosticism contested options.
    As a descriptive point, this seems to be the way many philosophical debates go. This has also been noticed recently by David Chalmers. (http://www.sms.cam.ac.uk/media/1484158, http://consc.net/papers/progress.pdf), prompting him to worry about the lack of progress on the fundamental philosophical questions, in the sense of convergence and, a fortiori, convergence on the truth. In contrast to Chalmers, I’m not sure lack in this type of progress is a bad thing in philosophy, though.

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  12. Rune Nyrup Avatar

    @n, in the spirit of (virtuous, I hope!) adverseriality, a bit of nitpicking: There are many argument-strategies that do not require common premises. Catarina (if I may) mentioned reductio arguments in the OP. It is a strong dialectical move to be able to say: “Suppose, for the sake of the argument, that your premises were true. Even so, by the principles of reasoning you accept, this still does not support your conclusion”. You can challenge arguments by showing that their premises or principles of reasoning lead to contradictions or that they do not actually support their conclusion, or simply by denying that you have been given sufficient reasons for accepting them. None of this requires accepting any common premises (except, trivially, that your opponent made such-and-such an argument).
    That said, it is a very good point that being an effective virtuous dialectical adversary requires a good deal of innovative and creative skill – for coming up with novel distinctions, arguments, etc. (The virtuous aspect is important here, I think, to ensure that the conversationalists respond constructively to each others’ arguments and not simply dig in their heels and stick to their guns).
    On reflection (see also my response to Tony above), it seems to me that the kind of progress that is typically achieved in philosophical debates is a more nuanced understanding of the complexities involved, rather than an increased certainty about the what the true answer is. Maybe a solution to the problem raised in the OP is to argue that it is a strength of virtuous adversarial dialectics in philosophy that it drives the conversationalists to keep exploring the issues, rather than seeking settled consensus answers?
    Notice that this feature makes philosophy quite different from many sciences, where there are strong mechanisms of consensus formation. One of Kuhn’s points was that this single- or narrow-mindedness is a good thing in periods of normal science, since it focuses scientists’ attention towards the detailed puzzle-solving necessary to maximise the problem-solving power of the paradigm. (There is of course also some puzzle-solving activity in philosophy, but the scope of allowed solutions here still seems much wider than in Kuhnian normal sciences). To draw a connection to another topic du jour, the openness and non-conclusiveness of philosophical dialectics might be one reason why some scientists sometimes express a degree of frustration about philosophical approaches to their topic.

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  13. Catarina Dutilh Novaes Avatar

    Thanks, that’s very helpful.

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  14. Catarina Dutilh Novaes Avatar

    The idea that philosophy differs from other disciplines in that it is less consensus-conducive seems to me to be very much worth exploring in more detail, both in connection with my model of virtuous adversariality and more generally in connection with discussions on the idea of ‘progress’ in philosophy. And the interesting thing is that mathematics, which on my book also has a strong dialogical component (every proof is a kind of dialogue with a built-in opponent), does display a tendency towards consensus that philosophy seems not to display:
    http://m-phi.blogspot.nl/2011/10/inconsistency-of-pa-and-consensus-in.html
    So thanks, this is interesting, and I should think more carefully about it.

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  15. Catarina Dutilh Novaes Avatar

    No worries, man 🙂 Getting my full name right is really mission impossible…

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