Category Archives: Logic

Is there certainty beyond logic?

15 Wednesday Dec 2010

Posted by in Certainty and Doubt, Greek and Roman Tradition, Humility, Logic, Meditation, Philosophy of Science, Reading and Recitation, Truth

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Responding to my post on doubt, Jim Wilton agreed that “truth established through thought and logic is always subject to doubt.” But he suggested that not all knowledge or truth is a product of logic – and, he claimed, perhaps this non-logical knowledge can be certain, indubitable.

I agree that not all knowledge is a product of logic. This is one of the reasons I have spent a great deal of time discussing what Thomas Kasulis calls intimacy worldviews, background approaches to philosophy that are not derived from direct argument. I agree with the thinkers in such traditions that truth is not merely something expressed in linguistic propositions.

Where I disagree strongly, however, is on the view that such non-logical knowledge can be a source of genuine certainty. Continue reading →

What does postmodernism perform?

21 Sunday Feb 2010

Posted by in Analytic Tradition, Epistemology, Faith, French Tradition, Greek and Roman Tradition, Islam, Logic, Metaphilosophy, Metaphysics, Modern Hinduism, Politics, Sex, Sophists, Truth

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The term “postmodernism” (or “poststructuralism”) is notoriously elusive; it’s sometimes said that if you think you know what it is, you don’t. But that doesn’t stop its practitioners from talking about it, and I don’t think it should stop anyone else either. I will use “postmodernism” to refer to a set of ideas, widely held among academics in the past 30 years, which takes inspiration from Jacques Derrida and Michel Foucault, and denies the worth of claims to truth. One will frequently find postmodernists (John Caputo is one of the more explicit about this) claiming that “the truth is that there is no truth.”

The claim that there is no truth is false. It contains a contradiction that cannot be resolved unless one takes it to mean something very different from what it appears to mean. Nor is this one of that narrow group of paradoxes which could be taken as true on the grounds of Graham Priest’s dialetheism. Priest tries to argue that most of the problems with contradiction stem not from accepting some contradictions, but from accepting all; but if one accepts “there is no truth,” one comes much closer to allowing all contradictions in. Indeed postmodernists often approvingly quote the philosopher of science Paul Feyerabend in telling us that “anything goes.”

It is not true that there is no truth. What is crucial about this and other postmodern claims, however, is that its truth value is not the point. Like Stanley Fish, postmodernists shift our attention away from contradiction and truth entirely, claiming they’re not the important thing. (Caputo at one point approves one of his opponent’s moves because “it drops the stuff about contradiction and actually addresses the issues.”) Drawing on J.L. Austin’s theory of speech acts, postmodernists will argue that the reason to make such a claim against truth is its performative dimension. The point, that is, is not what the sentence says, but what it does.

It is on this last point, however, that the evidence against postmodernism seems strongest. What, exactly, has postmodernism accomplished? I have previously mentioned cognitive dissonance and spiritual transformation as reason to be concerned about contradictions. But these are typically not at the forefront of postmodern concern. Rather, most postmodern writers express some sort of concern for marginalized political groups – women, gays, transgendered people, the poorer or working classes, people in nonwhite racial groups, people from colonized societies. But what has postmodernism actually done to improve their situation?
Continue reading →

Truth and contradiction beyond propositions

14 Sunday Feb 2010

Posted by in African Thought, Analytic Tradition, Christianity, Deity, East Asia, German Tradition, Greek and Roman Tradition, Logic, Metaphysics, Modern Hinduism, Philosophy of Language, Truth, Vedānta

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What do Augustine, Gandhi, Śaṅkara, Marx and Mao all have in common? Something quite important. But before answering this question, a brief excursus on Marx’s inspiration, G.W.F. Hegel.

In reading Graham Priest’s work, I was particularly struck by a point Priest makes at length in his Stanford Encyclopedia article: that Hegel believes there can be true contradictions, and is in that sense a dialetheist. I think Priest is technically right, but the point can be a bit misleading.

First, Hegel accepts the normative force of non-contradiction, in a way that Priest also does but tends to push to the sidelines. That is: while it’s possible for contradictions to be true, there’s also something about them that is epistemologically bad. As I noted last time, Priest accepts this point himself, so that when he says “What is so bad about contradictions? Maybe nothing,” he is effectively being disingenuous for rhetorical effect. For Priest, contradictions are epistemologically bad only in that the probability of a contradiction being true is generally low. For Hegel the problem with contradictions is something significantly bigger: a true contradiction eventually and inevitably becomes false.

This point leads into a bigger difference that goes well beyond Hegel’s and Priest’s work, which is what I really want to address today. Priest generally imagines contradictions as existing between linguistic truth-bearers of some description. He says at the beginning of the SEP entry that “we shall talk of sentences throughout this entry; but one could run the definition in terms of propositions, statements, or whatever one takes as her favourite truth-bearer: this would make little difference in the context.” But some objects taken to bear truth could, I think, change the nature of the claim significantly. Priest’s truth-bearers are statements, beliefs, propositions – all mere linguistic mental or verbal objects. But not everyone has taken truth-bearers to be of this kind. The most vivid exception may be Saint Augustine, about whom Alasdair MacIntyre put the matter beautifully:

for Augustine it is in terms of the relationships neither of statements nor of minds that truth is to be primarily characterized and understood. “Veritas,” a noun naming a substance, is a more fundamental expression than “verum,” an attribute of things, and the truth or falsity of statements is a tertiary matter. To speak truly is to speak of things as they really and truly are; and things really and truly are in virtue only of their relationship to veritas. So where Aristotle locates truth in the relationship of the mind to its objects, Augustine locates it in the source of the relationship of finite objects to that truth which is God. (Three Rival Versions of Moral Inquiry, p. 110)

Here not merely statements or beliefs but things are true – by virtue, I think, of their genuineness, their closeness to a Platonic Form of goodness which, for Augustine, turns out to be God himself. Continue reading →

Dialetheism

03 Wednesday Feb 2010

Posted by in Analytic Tradition, Greek and Roman Tradition, Logic, Mahāyāna, Pre-Socratics, Truth

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In response to last week’s post about contradictions, a reader who goes by “skholiast” (who has his own blog, Speculum Criticum Traditionis) pointed me to the interesting work of analytic philosopher Graham Priest, author of works with provocative titles like “What is so bad about contradictions?” Priest advocates a position that he calls dialetheism, from the Greek for “two truths,” according to which a belief or statement and its opposite can both be true – even at the same time and in the same respect, directly contradicting Aristotle’s classical law of non-contradiction. He concludes the article with this provocative claim: “So what is so bad about contradictions? Maybe nothing.”

Dialetheism is easy to mock. Indeed, the first I’d heard of it, and the only time I’d heard of it before skholiast’s post, was in two of Ryan Lake’s Chaospet comics that made fun of it. Lake’s comics note apparent problems with dialetheism: if nothing is bad about contradictions, as Priest suggests, then doesn’t that basically allow one to say anything at all? Doesn’t one then just immediately solve every hard problem without having to think about it, by saying (as Lake’s character Nester does) that “the mind both is and is not the brain”?
Continue reading →

Why worry about contradictions?

27 Wednesday Jan 2010

Posted by in Buddhism, Christianity, Epistemology, Greek and Roman Tradition, Honesty, Logic, Metaphilosophy, Monasticism, Philosophy of Science, Social Science, South Asia

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Stanley Fish, self-proclaimed “contemporary sophist,” recently weighed in on the “religion and science” question in the New York Times. For him, the chief problem we have in this area is that we’re too bothered by contradictions: “The potential for logical conflict, however, exists only under the assumption that all our beliefs should hang together, an assumption forced upon us not by the world, but by the polemical context of the culture wars.”

As a historical claim, the latter part of the sentence is laughable and merits no consideration: it takes very little research indeed to find that the drive for logical consistency far predates any modern culture wars. It can be found not only in Plato, its most famous advocate, but also in Augustine, in Aquinas, in Śaṅkara and Kumārila. One might be tempted to find an exception in Nāgārjuna and his Madhyamaka school, which try to avoid having any position whatsoever; but even Nāgārjuna relies in his arguments on the assumption that our positions should not contradict each other – should make logical sense. Fish is smart enough to know this point; the claim that the drive for consistency is a product of the contemporary culture wars can only be understood as a deliberate falsehood, a lie.

More interesting is the normative claim, the view that we shouldn’t be bothered by contradictions. After all, if that’s true, Fish may be entirely justified in lying. Continue reading →