Tag: Descartes

This is the kind of book one hates to review. Not because it is bad; it is an excellent work, rich and profound and relevant at least to: the scholar of half a dozen areas in the history of philosophy (from medieval through early modern, modern, Kant, post-Kantian, to the early analytic philosophy), the philosopher of language, the metaphysician, the philosopher of logic, and the epistemologist. But it is complex – much more complex even than your average 1069-page philosophy collection. Perhaps this is to be expected: one way to think of The Logical Alien is as a commentary (on steroids) of James Conant’s 1991 “The Search for Logically Alien Thought: Descartes, Kant, Frege, and the Tractatus”, itself a long, seminal, profound and – dealing as it does with history and theory and some of the heavyweights of the last five hundred years of philosophy – multitasking paper.[1] The papers collected in the book are written for one third by different authors engaging with Conant’s 1991 paper, and for two thirds by Conant engaging with his former self and with each of the other contributors, occasionally with more than one at the same time. The parts of the book end up being so interconnected at so many levels, that it takes several readings just to find one’s way through it – never mind figuring out what to make of even one of the numerous debates involved or convey it to prospective readers with something resembling accuracy. Yet the book is as difficult to review as it is exhilarating to read. Once you get hooked up (and you do get hooked up), you won’t be finished for a long time.

The central question is taken from Frege and is simple enough: Is there such a thing as thought which is logical but whose logical laws are different from, and incompatible with, ours? Put this way, there would seem to be an equally simple answer: yes. Consider systems with different and incompatible rules of inference: in a classical setting, Excluded Middle and Full Double Negation are laws; in an intuitionistic setting, they aren’t – yet nobody from either camp seriously thinks that the other just isn’t thinking logically. After all, intuitionistic and classical logic are equiconsistent (a proposition is classically provable if and only if its double negation is intuitionistically provable). Of course there is a qualification to make in this case: some logical laws are in common. For example, Non-Contradiction – which in any case seems to be needed for concepts like ‘consistency’, ‘incompatibility’ and ‘disagreement’ to even make sense. What about, then, thought which shares none of our logical laws – not even Non-Contradiction? Conant’s original paper, and much of the discussion in the book, revolve around this insight: that since at least some of what we call logical laws are constitutive of thought as such, thought which does not conform to them is in fact not thought at all. In one form or another is attributed by Conant, past and present, to Frege, Wittgenstein and Putnam (or Putnam at some point of his career).

The insight – which we shall call the Insight – develops in interesting ways. Consider the following way of putting the central question: Are the laws of logic necessary? If the Insight is correct, then, one might say, they are. Not so – at least on the view Conant and his critics are interested in. Since what we call logical laws are constitutive of thought as such, logically alien thought is an impossibility. Discourse about it, then, is what Conant calls philosophical fiction (768).[2] The contrast is with empirical fiction. The latter invites us to contemplate a scenario which happens not to be the case, but which ‘falls within the realm of the possible’. The former invites us to contemplate something which is not even possible. So that in philosophical fiction we ‘only apparently grasp what it would be for [the scenario] to obtain: its possibility can only seemingly be grasped in thought’. But, the view concludes, if logically alien thought is philosophical fiction, then the project of establishing its possibility or impossibility is in fact a non-starter: for in order to affirm or deny that logically alien thought is possible, or even ask whether it is possible, we first need to grasp ‘it’ – the thought with content ‘logically alien thought’ – but that is exactly what we cannot do. Far from being able to answer the question, we seem to have no question to answer. It looked as though we had one; but it turns out we never did. It was a mock-question. Hence, for example and according to Conant (past and present), the austere – non-mystical – Wittgensteinian stance at the end of the Tractatus: the necessity of logic isn’t a question which logic cannot answer; it is a non-question. Hence, too, the Wittgensteinian idea that philosophy should be conceived of not as doctrine, not even as research, but as something called ‘elucidation’: the activity of recognising that some or all of what we take to be profound philosophical problems are in fact simply nonsense.

In the original 1991 paper, Conant follows the development of this line of thought – call it elucidativism about logic – from Descartes through Aquinas,  Leibniz, Kant, Frege, to Wittgenstein and Putnam. He does not defend elucidativism, but he clearly favours it. In the first part of The Logical Alien, his critics either follow up on 1991-Conant’s historical claims in the paper (which is included in the book), or take issue with theoretical claims, or both. The following is an overview of the contributions. A.W. Moore’s is about Descartes and what he ought to have thought about modality. In particular, whereas 1991-Conant claims that Descartes’ official view was that necessary truths (amongst which are the laws of logic) are contingently necessary, Moore argues that statements to that effect to be found in Descartes are aberrations rather than expressions of the official view. Matthew Boyle’s chapter is about Kant’s and Frege’s conceptions of logic and of the formal. Arata Hamawaki’s paper is about a distinction between Cartesian and Kantian skepticism. I have to say that, while the former contributions are excellent reads, I found this one rather difficult to follow and, despite the theme, somewhat underwhelming. Barry Stroud’s paper is the skeptical contribution: historically, doubts are cast on 1991-Conant’s reading of Frege; theoretically, issue is taken with the notion that necessary truths are apt to being explained. Peter Sullivan objects to 1991-Conant’s view of Frege, and argues that the latter is more Kantian than is usually thought. The contribution also contains a very good summary of the dialectic of the 1991 article (in case you struggle to follow it). Along with Moore’s, perhaps the best of the (mainly) historical contributions (to my taste). Martin Gustafsson and Jocelyn Benoist concentrate on post-tractarian Wittgenstein: the former to examine the relations between language use and rule-following, the latter to show how Wittgenstein’s treatment of private languge is an exercise in elucidation. Finally, Charles Travis’ chapter, the longest, discusses Frege, Wittgenstein and the heart of the elucidative enterprise. Undoubtedly the most important of the critical essays. I agree with many points he makes, and I will be saying something similar in the remainder of this review – but from a very different perspective. The second part of The Logical Alien consists of present-day Conant discussing both his 1991 paper and the critics’ contributions. I see no point in saying anything here, except that he (and probably the editor, Sophia Miguens) did an excellent job of making the Conant’s own chapters a single narrative rather than a collection of discrete replies.

Now, upon my first reading of the 1991 paper, and on every subsequent reread, and indeed as I was ploughing through the book, I thought it a shame that there was (virtually) no reference to the phenomenological tradition at all. This is not to say that there should have been: as far as I can tell, phenomenology has never been among Conant’s interests, and that this should be reflected in a book about his work is, after all, only natural. On the other hand, at least some of the debates in The Logical Alien might have benefited from a phenomenological voice; and others are relevant to discussions within the phenomenological tradition. And since I am writing this review for a journal called Phenomenological Reviews, I will allow myself to expand on the above and bring phenomenology into the melee.

I have already said what the central view at stake in the book is: that the question as to whether there can be logically alien thought is a non-question, because its formulation involves something akin to a cognitive illusion. The further question, however, is: Why is grasping a thought about an impossibility itself impossible? Why, in other words, should we buy the claim that in philosophical fiction, as Conant says, we only seem to grasp a thought but we really do not? Why is the thought that there may be logically alien thought, despite appearances, no thought at all?

The reason lies in the following view, endorsed at lest to some extent by Frege, embraced by tractarian Wittgenstein and assumed in Conant and his critics’ discussions: To grasp a thought is to grasp what the world must be like for the thought to be true and what the world must be like for the thought to be false.[3] A thought for which either of these things cannot be done is a thought for which, as Frege would put it, the question of truth does not genuinely arise. It is then not a thought but a mock-thought. This is the basis of Wittgenstein’s notion that tautologies and contradictions have no content: for we just cannot imagine what the world what have to be like for tautologies to be false or contradictions true. For all the depth and complexity of the debates which Conant’s 1991 paper has sparked, and which are well represented in The Logical Alien, if what we may call the Assumption falls it is hard to see how the rest might stand. For if grasping the content of a thought is decoupled from grasping its truth-(and-falsity-)conditions, or from even bringing truth into the picture, then even if philosophically-fictitious scenarios are impossible we can still grasp them – if only to deem them impossible. Thoughts about them are not mock-thoughts; or, if they are, they are so in a weaker sense than Conant seems to envisage – too weak for the work he wants mock-thoughts to do.

Conant is aware of this. In his reply to Stroud he highlights how the 1991 paper pinpoints a tension in Frege between 1) his elucidative treatment of the logical alien in the foreword to Grundgesetze, and 2) his commitment to the idea that tautologies and axioms are true.[4] If the Insight and the Assumption are true, then 1) and 2) are (or very much seem to be) incompatible. Conant suggests that the ‘deeper wisdom’ to be found in Frege, which is also the strand of Frege’s thought which Wittgenstein develops, is 1). The claim that axioms and tautologies, despite having negations which are absurd, are true is treated by Conant as stemming from Frege’s conception of content (thought) as ‘explanatorily prior’ to judgement. So that it is only if we think that the content of a judgement pre-exists the judgement that we can take judgements about impossible scenarios to have a content. Otherwise we would have to say: there is no judgement to be made here, and therefore there is no content.

I will not go into the minutiae – or even the nitty-gritty – of Fregean scholarship. But surely the move only pushes the problem a step further. Grant that judgeable content should not be thought of as explanatorily prior (whatever that means exactly) to judgement, the question is: Why buy the claim that we cannot judge about impossibilia – not even to say that they are impossibilia? If we can, there is judgement; and therefore there is content. Are there views on the market which do not take judgeable content as explanatorily prior to judgement, and according to which we can and do judge about impossibilia?

Husserl held just such a view throughout his career. There are several ways to see this. Begin with the Investigations. There, meanings are ideal objects (universals) instantiated by the act-matter of classes of meaning-intentions. The latter are intentional acts through which a subject intends, or refers to, an object. Their matter is, with some oversimplification, their content.[5] Notice that the content of a meaning-intention is not the meaning: without an act there is no content – though there is a (perhaps uninstantiated) meaning. So even in the early Husserl, despite his ostensible Platonism, it is not obvious that judgeable content is prior to, or even independent of, judgement. In the fourth Logical Investigation, a distinction is made between nonsensical (Unsinnig) and absurd (Widersinnig) meanings. A nonsensical meaning is a non-meaning: an illegal combination of simpler meanings (illegal, that is, with respect to a certain set of a priori laws). A syntactical analogue would be a non-well-formed string of symbols: ‘But or home’. So, when it comes to nonsensical meanings, there just is no content (no act-matter). An absurd meaning, by contrast, is a (formally or materially) contradictory one: ‘Round square’. In this case there are both a meaning and an act matter; it’s just that to intentional acts whose matter or content instantiates the absurd meaning there cannot correspond an intuition – intuition being the sort of experience which acquaint us with objects: perception, memory, imagination. So we cannot see or remember or imagine round squares, but we can think about them, wonder whether they exist, explain why they cannot exist, and so on. Moreover, the very impossibility of intuitively fulfilling an absurd meaning-intention is, in Husserl, itself intuitively constituted and attested: attempting to intuit the absurd meaning leads to what Husserl calls a synthesis of conflict.

Say, then, that whilst engaging in philosophical fiction we try to make sense of logically alien thought, and we fail. This failure consists, in Husserlian phenomenology, in the arising of a conflict in our intuition, as a consequence of which we deem the scenario impossible. In the Husserlian framework this failure does not entail that there was never any thinking taking place with the content ‘logically alien thought’: it was ‘merely signitive’ thinking – thinking to which, a priori, no intuition can correspond – but contentful thinking nonetheless. We cannot intuit the impossible, but we can think about it.

So in Husserl the impossibility – the philosophical-fictitiousness – of logically alien thought does not entail that, when we think of logically alien thought, we only seem to do so. When we think of logically alien thought, we actually do think about logically alien thought; and one of the things we reckon when we think about logically alien thought is that it is impossible. All of this, notice, without appealing to the explanatory priority of judgeable content over judgement – which is what Conant finds disagreeable in Frege. Husserl, then, seems to be in a position to agree with Conant that judgeable content doesn’t come before judgement, and yet disagree with Conant that there is any wisdom whatever in Frege’s elucidative treatment of the logical alien.

All this is reflected in Husserl’s view of logic. From the Investigations throughout his career, Husserl maintained that logic comes in layers. In the official systematisation (Formal and Transcendental Logic, §§ 12-20) these are: 1) the theory of the pure form of judgements; 2) the logic of non-contradiction; 3) truth-logic. The first of the three is what in the fourth Investigation was called ‘grammar of pure logic’, and its job is to sort the meaningless – combinations of meaning which do not yield a new meaning – from the meaningful. It is the job of the logic of non-contradiction to sort, within the realm of the meaningful, the absurd meanings from the non-absurd. It is debatable whether truth is operative in this second layer of logic; I understand Husserl as denying that it is. But in any case, truth is not operative in the first layer. When Conant and his critics discuss the laws of logic, they take them to be such that, first, they are constitutive of thought, and second, truth plays a crucial role in them; and they take thoughts which misbehave with respect to truth, such as tautologies and contradictions, not to be thoughts at all (giving rise to tension in Frege). From a Husserlian perspective, what makes a thought a thought is not the laws of truth, but the laws of the grammar of meanings. Truth has nothing to do with it – nor, as a consequence, with what it is to be a thought.

The second part of Conant’s reply to Stroud (roughly, from p. 819 onwards) connects the above to another phenomenologically relevant strand of The Logical Alien: Kant and the project of a transcendental philosophy. The starting point is the difference between Frege’s approach on the one hand, and Kant’s and Wittgenstein’s on the other. The issue is, again, the central one of the relations between thoughts and judgements. Conant’s aim is to show that Frege can conceive of thought as separate from judgement – of content as distinct from the recognition of the truth of content – only by committing himself to the following conjunctive account: whenever an agent S judges that p, a) S thinks that p, and b) S recognises that p is true. These are two distinct acts on the part of S. This is contrasted with Kant’s (and, later on, Wittgenstein’s) disjunctive approach: there is a fundamental case of judgement in which S simply judges that p; and there are derived cases, different in kind from the former, in which S entertains the thought that p without recognising its truth – for example, in what Kant calls problematic judgements (‘Possibly, p’). Conant does not seem to provide a reason why we should be disjunctivists rather than conjunctivists – other than the claim that conjunctivism is at odds with the wider Kantian transcendental project. The implication being that if one buys into the latter at all, then one ought to be a Kantian rather than a Fregean when it comes to the relations between content and judgement.

What is, for Conant, Kant’s transcendental project? This is spelled out in the excellent reply to Hamawaki and Stroud.[6] To be a Kantian is first of all to put forward transcendental arguments. According to Conant, a transcendental argument is something close to an elucidative treatment of what he calls Kantian Skepticism: the worry, not that the external world may not be as experienced or not exist all, but that we may not be able to ‘make sense of the idea that our experience is so much as able to afford us with the sort of content that is able to present the world as seeming to be a certain way’ (762). Kant’s way to resolve the worry is to show that the scenario in which our experience is not able to present the world at all is philosophical fiction: if we probe the Kantian-skeptical worry enough, we find it unintelligible.

I don’t believe Conant reads Kant as endorsing elucidativism – that is, I don’t believe Conant reads Kant as making the final step: if the scenario in which experience does not present us with a world is unintelligible, then so is the scenario in which it does. But he does say that this ‘is arguably the closest Kant ever comes to an extended philosophical engagement with something approximating the question of the intelligibility of the idea of a form of cognition that is logically alien to ours’ (772). If one is a transcendentalist, in any case, one has to put forward transcendental arguments; and if Conant is right in his reading of what a (Kantian) transcendental argument is, then a transcendentalist needs to be in a position to reason from the unintelligibility of a scenario to the unintelligibility of the question as to whether the scenario is possible. But to do so – recall the (alleged) tension between Fregean conjunctivism and the Kantian project – a transcendentalist ought to avoid seriously distinguishing between content and judgement.

Another strand of Conant’s discussion of Kant, and at some level a consequence of the nature of transcendental arguments as described above, is the recognition that any account of our cognitive capacity must be given from within the exercise of our cognitive capacity – so that no account of the latter can be given in non-cognitive terms. Conant calls this ‘the truth in idealism’ (776). And this is what, for Conant, ultimately is to be a Kantian: to pursuse a philosophical project in the light of the truth in idealism. Needless to say, Wittgenstein counts as a Kantian par excellence; and so does the elucidativist half of Frege.

The phenomenologically alert reader will not have missed the fact that the truth in idealism is in fact a central tenet of Husserl’s post-Investigations philosophy. Suffice it to quote the title of Section 104 of Formal and Transcendental Logic: “Transcendental phenomenology as self-explication on the part of transcendental subjectivity”. I am less sure about Conant’s reading of transcendental arguments: granted that they do involve the recognition of the unintelligibility of skeptical scenarios, it is unclear why that should not simply be thought of as some sort of reductio ad absurdum, or perhaps of a quasi-aristotelian elenchos, rather than as something pointing to elucidation. Be that as it may, Husserl’s mature philosophy is a view in which the truth in idealism is preserved and in which, however, elucidativism is avoided – because even in the mature Husserl absurd thoughts are contentful.

Consider the relation between content and judgement. In the mature Husserl the interdependence of content and the mental is reasserted and strengthened with the notion of meaning as noema, introduced alongside the old Platonistic one in the 1908 Lectures on the Theory of Meaning, and center-stage in the first volume of Ideas in 1913. The main difference here is that the noema, one of whose component is intentional content, exists only insofar as the relevant mental act – in our case, the relevant thinking episode – does. As to the relations of noema and judgement, Husserl does think that it is possible to thematise a propositional content without judging that it is true. Yet this is claimed within a broader story – genetic phenomenology – of how more sophisticated intentional performances, together with their productions (including propositional contents), arise from more fundamental ones. The chief text here is Experience and Judgement. So Husserl could be said to hold something like what Conant calls the disjunctive account: the act of merely entertaining a thought is derivative of the act of straightforwardly judging. But this is not to say that one cannot merely entertain a thought! It simply means that we would not be able to mereley entertain thoughts if we were not able to straightforwardly judge. Indeed, for Husserl the existence of a noema such as, say, ‘ABCD is a round square’, while dependent on the relevant meaning-intention, is independent of the possibility of there being round squares at all. We can and do entertain the thought whether round squares exist, ask ourselves whether they do, and judge that they don’t. (The simplicity of the example might lead to error: it might appear as though, in this case, phenomenologically or introspectively, there were no distinction between entertaining and judging, for it is immediately clear that there are no round squares. All you have to do is try with more covert absurdities; to take a pertinent example, Frege’s very own Basic Law V.)

It really does seem to be a phenomenological fact that content and judgement are distinct. As the Husserlian case shows, one can maintain that that is so while still allowing the distinction to be derived rather than fundamental. Not only this: one can maintain the distinction, thereby blocking elucidativism, and still subscribe to the truth in idealism and be counted as a Kantian by Conant’s own standards. Or so, at any rate, it seems.

So being a Husserlian may be one way of being a Kantian without being an elucidativist. I hope it is and I hope there are others. Elucidativism usually divides people into three categories: those who buy it, those who don’t, and those who dismiss it as empty gobbledegook. I don’t dismiss it – but I don’t buy it either. For example, the argument for it discussed, and indeed put forward, by Conant seems to me to prove too much. This is a point Stroud makes in his contribution.[7]  In the reply, Conant is, I think, too concerned to show Stroud’s (alleged) misunderstandings to take his commonsense worries seriously. Regardless of that dialectic, consider any proof by contradiction in mathematics: we set up a proposition, we show that the proposition is inconsistent (either with itself or with other assumptions), we conclude that the negation of the proposition is true. If the elucidativist is right, the latter step is unwarranted: if a proposition turns out to be nonsense (which it does, being a proposition about an impossible scenario) then its denial is also nonsensical. So, if the view is correct, a large part of mathematics either is merely a cognitive illusion or, at best, is an exercise in elucidation. And yet the proposition, say, that there are infinitely many primes – whose negation is absurd in the same sense in which logically alien thought is – seems to be a perfectly legitimate proposition. So does the question whether there is a greatest prime, even though, it turns out, it makes no sense to suppose that there is. For some of us, intuitions in this respect are just too strong. In comparison, the elucidativist manoeuvre really seems sleight of hand of sorts.

Of course, even we must bow to argument. And in any case, since the stakes could not be higher, high-quality discussion is always welcome. The Logical Alien provides plenty – as I said, enough to go on for a long time. That is one reason to recommend the book – eve if, like me, you are not in the elucidativist camp. Another reason, relevant to the phenomenologically-minded reader, is that there seems to me to be a family resemblance, however faint, between elucidativism and certain strands of the phenomenological tradition broadly construed: Deleuze’s operation in Logic of Sense, Derrida with his différance, Sartre’s manoeuvres in Critique of Dialectical Reason. The Logical Alien might add something meaningful to those discussions, too.

[1]     J. Conant. 1991. “The Search for Logically Alien Thought: Descartes, Kant, Frege, and the Tractatus” Philosophical Topics 20 (1): 115-180.

[2]     Part II, Section X, “Reply to Hamawaki and Stroud on Transcendental Arguments, Idealism, and the Kantian Solution of the Problem of Philosophy”: 758-782. Arabic numerals in parentheses in the main text refer to pages in The Logical Alien.

[3]     I say ‘assumed’, but it is in fact at the heart of Travis’ piece. Sullivan discusses it, too.

[4]     Part II, Section XI, “Reply to Stroud on Kant and Frege”: 783-829.

[5]     For an excellent overview of Husserl’s philosphy of language and its development, see Simons 1995.

[6]     Part II, Section X: “Reply to Hamawaki and Stroud on Transcendental Arguments, Idealism, and the Kantian Solution to the Problem of Philosophy”: 758-782.

[7]     Part I, “Logical Aliens and the ‘Ground’ of Logical Necessity”: 170-182.