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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Disagreement, Error and Two Senses of Incompatibility - The Relational Function of Discursive Updating</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Tanja Pritzlaff</string-name>
          <email>t.pritzlaff@zes.uni-bremen.de</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>University of Bremen, Centre for Social Policy Research, Division 'Theory and Constitution of the Welfare State'</institution>
          ,
          <addr-line>Parkallee 39, 28209 Bremen</addr-line>
          ,
          <country country="DE">Germany</country>
        </aff>
      </contrib-group>
      <abstract>
        <p>In Between Saying and Doing: Towards an Analytic Pragmatism, Robert B. Brandom puts forward a general method of formally representing relations between meaning and use (between vocabularies and practices-or-abilities) and shows how discursive intentionality can be understood as a pragmatically mediated semantic relation. In this context, the activity that pragmatically mediates the semantic relations characteristic of discursive intentionality is specified as a practice of discursive updating - a practice of rectifying commitments and removing incompatibilities. The aim of the paper is to take a closer look at the practice of discursive updating and to show that the inconsistencies, errors and failures in discursive practice that form the basis for the described update function can only be fully understood against the background of an agent's membership in the discursive community - i.e. if one looks at the explicitly social role of discursive updating.</p>
      </abstract>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>-</title>
      <p>The aim of the following remarks is to take a closer look at the functional role of
discursive updating – as presented especially in chapter 6 of Between Saying and
Doing – and to further elaborate Robert Brandom’s conception of discursive updating
by assigning an explicitly social role in interactions with other agents to it.</p>
      <p>
        As Brandom outlines in Between Saying and Doing and in a recent interview as
well, inconsistencies, errors and failures in discursive practice can be described as a
basis for an update function in the evolving structure of discursive practices. As
Brandom puts it, the “role of disagreement and error, in particular the role of finding
ourselves with commitments that are incompatible by our own lights, is an absolutely
essential feature of the intelligibility of what we are doing, constraining ourselves by
norms, that is, making ourselves subject to normative appraisal as to the goodness of
our reasons for believing what we believe and for doing what we do. The principal
motor of conceptual development is finding ourselves with incompatible
commitments and acknowledging in practice the obligation to change something, so as to
remove that incompatibility”
        <xref ref-type="bibr" rid="ref11 ref6">(Pritzlaff/Brandom 2008, p. 375)</xref>
        .
      </p>
      <p>
        Following Brandom’s conception, cases of disagreement and error involve two
different kinds incompatibility. They involve incompatibility in the modal sense, i.e. that
it is impossible for one and the same object in the world to have two materially
incompatible properties, and they involve incompatibilities in the normative sense, i.e.
that one cannot be entitled to two commitments that are incompatible in the light of
the practices and attitudes of an agent, of the norms implicit in an agent’s behavior. In
Brandom’s conception, these two kinds of incompatibilities are answered by practices
of commitment revision that integrate the subjective perspective (that focuses on the
knowing and acting subjects) and the objective perspective (that focuses on the
objects and state of affairs in the world), corresponding to “the subjective and objective
poles of the intentional nexus between what discursive practitioners do, their activity
of claiming, and the objects, properties, and facts that they thereby count as saying
something about”
        <xref ref-type="bibr" rid="ref11 ref6">(Brandom 2008, p. 200)</xref>
        .
      </p>
      <p>In expanding Brandom’s conception of discursive updating by assigning an
explicitly social role – in interactions with other agents and by explicit references to
external authorities and social norms – to it, the paper also aims at a critical view on
Brandom’s claim that “the activity of taking or treating two commitments to be
incompatible in the subjective normative sense just is what it is to take or treat two properties
or states of affairs as incompatible in the objective modal sense” (ibid.).
2</p>
    </sec>
    <sec id="sec-2">
      <title>The Practice of Discursive Updating</title>
      <p>
        In chapter three of Between Saying and Doing, Brandom discusses arguments against
two versions of AI-functionalism: Against the plausibility of the claims of the
intellectualist program of classic symbolic AI, i.e. to understand knowing how to do
something in terms of that something is true; and against the pragmatist thesis of a
pragmatic version of AI, a thesis about understanding knowing or believing that in terms
of knowing how. His argument against this second version of AI – what he calls the
“substantive practical algorithmic decomposability version of AI”
        <xref ref-type="bibr" rid="ref11 ref6">(Brandom 2008, p.
78)</xref>
        – aims to show that all autonomous discursive practices exhibit some aspect that
is “not algorithmically decomposable into non-discursive practices-or-abilities” (ibid.,
79).1 In this context, the functional role of discursive updating is introduced.
      </p>
      <p>For Brandom, the aspect of autonomous discursive practices that is not
algorithmically decomposable into non-discursive practices-or-abilities is “the practice of
doxastic updating – of adjusting one’s other beliefs in response to a change of belief,
paradigmatically the addition of a new belief” (ibid.). The reason why the decomposition
is not possible is to be found in a characteristic of discursive updating that can be
described as a kind of context sensitivity. The updating process is, as Brandom puts it,
“highly sensitive to collateral commitments or beliefs” (ibid., 80). The significance of
undertaking a new commitment depends not only on the content of that particular
commitment. The significance of a new commitment stems from its interrelations
within a network of other commitments an agent has already undertaken. To
understand what a bit of vocabulary means can be characterized as knowing what
difference the undertaking of that commitment would make “to what else the one using it is
committed and entitled to” (ibid., 79). The addition of a new belief to an already
ex1 “That would be something that is PV-necessary for deploying any autonomous vocabulary (or
equivalently, PP-necessary for any ADP) that cannot be algorithmically decomposed into
practices for which no ADP is PP-necessary” (ibid.).
isting web or network of related commitments and entitlements requires the mastery
of a practice that updates the whole set, a practice that reassigns the meaning and
significance of the other, already existing elements in the light of the new belief as
well. Being able to perform this practice includes being able to distinguish which
further commitments would and which would not infirm or defeat an undertaken
commitment, i.e. the ability to “associate with each commitment a range of
counterfactual robustness”. This means that one must not only be able to identify claims that
are incompatible with the new additional commitment, but claims that are
incompatible with it only in the context of one’s other collateral beliefs, i.e. claims that are
“contextually incompatible” with it (ibid., 80).</p>
      <p>For Brandom, the global updating ability exhibited in the performance of this
practice is an ability that cannot be assigned to non-discursive creatures. Doxastic
updating requires that in the light of new information, language users are able to distinguish
between information that is and information that is not relevant to the claims and
inferences one endorses. Since any new information about an object carries with it
new information of some kind about every other object, and any change in any
property of one object changes some of the relational properties of all other objects,
language users have to be able to separate contextually relevant from contextually
irrelevant information. Or, as Brandom puts it: The crucially important cognitive skill that
is needed to perform the practice of doxastic updating is the capacity “to ignore some
factors one is capable of attending to” (ibid., p. 81); and the defining feature of that
skill is displayed by the ability to decide what to ignore. As competent language users
we are able to decide which aspects of a new bit of information are relevant or
significant in the context of claims about objects we are concerned with and to decide
which complex relational properties we should ignore in our reasoning (ibid.).
3</p>
    </sec>
    <sec id="sec-3">
      <title>Two Senses of Incompatibility</title>
      <p>In chapter 6 of Between Saying and Doing, Brandom focuses on the semantic
relations between words and the world. The use of words is not limited to constituting
relations between vocabularies. To say something consists of talking about something
in the world, about the objects or states of affairs that the words and sentences refer to
or represent.</p>
      <p>The argument developed in chapter 6 of Between Saying and Doing further
elaborates the complex, pragmatically mediated semantic relations between normative and
modal vocabularies introduced in chapter 4 and 5. Brandom claims in chapter 6 that
the intimately related features of normative vocabulary and modal vocabulary
correspond to the subjective and objective poles of intentional relations, “between what
discursive practitioners do, their activity of claiming, and the objects, properties, and
facts that they thereby count as saying something about” (ibid., 200). While
normative vocabulary “makes explicit important features of what knowing and acting
subjects do when they deploy a vocabulary, when they use expressions so as to say
something”, modal vocabulary “makes explicit important features both of what is said and
of the objective world that is talked about” (ibid., p. 181). Normative vocabulary and
modal vocabulary both articulate discursive commitments. But while normative
vocabulary “addresses in the first instance acts of committing oneself”, modal
vocabulary addresses “the contents one thereby commits oneself to” (ibid.), in the sense of
“how one has committed oneself to the world being, how one has represented it as
being” (ibid.).</p>
      <p>
        In the course of this argument, Brandom differentiates between two – related –
senses of incompatibility: an objective modal sense of incompatibility (“a matter of
what states of affairs and properties of objects actually are incompatible with what
others”
        <xref ref-type="bibr" rid="ref11 ref6">(Brandom 2008, p. 191)</xref>
        ) and a subjective normative sense (that concerns
commitments on the part of knowing-and-acting subjects). Brandom’s argument leads
to the key point that by “engaging in the practice of rectifying commitments, subjects
are at once both taking or treating the commitments involved as incompatible in the
normative sense of obliging them to do something about that collision, and taking or
treating two states of affairs regarding objects as incompatible in the modal sense that
it is impossible for both to obtain” (ibid., p. 193). What is made explicit in the
objective sense of incompatibility by modal vocabulary and in the subjective sense by
deontic normative vocabulary are, as Brandom puts it, “essentially complementary
aspects”, “connecting knowing and acting subjects with the objects they know about
and act on” (ibid., p. 196). Acknowledging material inferential and incompatibility
relations among commitments, therefore, essentially involves a representational
relation to objects, i.e. to facts in the world that one is talking about, and to laws relating
possible facts.
      </p>
      <p>In this context, practical intentionality, identified as the most fundamental kind of
intentionality, is characterized as a directedness towards objects and a practical
involvement with those objects exhibited by creatures dealing skillfully with the world.
The most basic form of such activity consists of “an open-ended sequence of
feedback-governed performances” (ibid., p. 178). And these feedback-governed processes
function only insofar as they refer in some way to changes in the world – changes one
responds to or changes that are induced by responses. Feedback loops of
perceptionand-performance essentially involve “objects, events, and worldly states of affairs”
(ibid., p. 178). Discursive intentionality is to be understood as a species of such
feedback-governed practical engagement, as “a development of and a special case of”
basic practical intentionality (ibid., p. 179). A creature exhibits specifically discursive
intentionality insofar as its performances and ways of responding are mediated by
relations of material inference and incompatibility. The directedness at objects
characteristic of practical intentionality turns, as Brandom puts it, “into something
intelligible as representation of those objects when the process of practical engagement takes
the form of deontic updating structured by material inferential and incompatibility
relations, that is, when it becomes discursive intentionality” (ibid., p. 184). And the
two poles of discursive intentionality, “knowing and acting subjects and the objects
they know of and act on, their representing activities and the objects and objective
states of affairs they represent” (ibid., p. 179), can only be understood in the light of
the semantic intentional relations they stand in one to another. For doing that, one
must, as Brandom puts it, “start with an understanding of the thick, essentially
worldinvolving practices engaged in and abilities exercised, and abstract from or dissect out
of that an understanding of the two poles of the semantic intentional relations those
practices and abilities institute or establish” (ibid., p. 179-180). This way to proceed is
in accord with what Brandom refers to as the pragmatist order of semantic
explanation.</p>
      <p>Discursive activity involves practical engagements with things, but also the
“rational critical responsibility implicit in taking incompatible commitments to oblige
one to do something” (ibid., p. 189). And this doing, required by the incompatible
observational commitments in the world as well as by the normative obligation to do
something about the incompatibility of one’s own commitments, is the practice of
discursive updating. While the first aspect becomes apparent in a modal notion, i.e.
that it is impossible for an object to be made of pure copper and to be an electrical
insulator at the same time, the second aspect is associated with the practices and
attitudes of the subjects engaged in discursive practices. It is a matter of the “norms
implicit in their behavior, what they in practice take or treat as incompatible in
acknowledging and attributing the deontic statuses of commitment and entitlement” (ibid., p.
191). The practice of discursive updating, therefore, functions in two senses as a way
of noting and repairing incompatibilities. It is a response to two different kinds of
incompatibilities, although these two senses or kinds are, as Brandom puts it, “related
in a surprising and revealing way” (ibid., 190-191).</p>
      <p>In an objective modal sense, it responds to “what states of affairs and properties of
objects actually are incompatible with what others, in the world as it is independent of
the attitudes of the knowing-and-acting subjects of practical, feedback-governed
transactional engagements” (ibid., p.191). In the normative sense, discursive updating
aims, as Brandom puts it, at “the material inferential completeness and compatibility
of one’s commitments, in the normative sense that insofar as one falls short of those
ideals, one is normatively obliged to do something about it, to repair the failure”
(ibid., p. 187).
4</p>
    </sec>
    <sec id="sec-4">
      <title>The Social Role of Discursive Updating</title>
      <p>Within the process of commitment revision as described by Brandom, the relational
function of discursive updating is of vital importance. But while it seems clear that the
need to update one’s commitment in the light of the two senses of incompatibility as
described above is not a merely individual, but also a social requirement, Brandom
doesn’t go into details on how a practice of discursive updating actually functions
within the social sphere. And although a parallel between the way in which an
individual subject deals with incompatible commitments and the way a community deals
with incompatible commitments seems to exist, it doesn’t become clear how an
updating practice may function in cases in which different subjects within a community
contradict each other, disagree about properties of facts in the world or about how to
proceed when faced with, for example, diverging external norms or authorities they
refer to in trying to resolve a conflict. The kind of normativity exhibited in these cases
seems to be not only a kind of in-process, but a kind of interpersonally established
normativity. The question that follows from this is: In which sense is finding
ourselves with commitments that are not incompatible by our own lights, but are
incompatible in the light of other members of our community an essential feature of what
we are doing? If finding ourselves with incompatible commitments and
acknowledging in practice the obligation to change something, so as to remove that
incompatibility, is the principal motor of conceptual development, wouldn’t it be possible to say
that finding ourselves and our own commitments in conflict with the commitments of
others is a principal motor of, for example, the development of social or political
norms?2</p>
      <p>
        As Raffaela Giovagnoli points out, discursive updating functions in cases and
contexts of conflict – not only in the subjective, but also in the social sphere. In
interaction with other agents, we get into contact with points of view different from our own
        <xref ref-type="bibr" rid="ref7">(Giovagnoli 2007, p. 93)</xref>
        . Following Giovagnoli’s line of argumentation, the
relational function of discursive updating as characterized by Brandom can be further
elaborated, focusing on the critical dimension of its social role in practices that can be
understood as social practices in the narrower sense of the word, i.e. as interactions
with other agents. Social practices in this sense can be described as
feedbackgoverned, as „complex patterns of mutual responsiveness“
        <xref ref-type="bibr" rid="ref12">(Rouse 2007, p. 52)</xref>
        ,
embedded in a structure of “default” and “challenge” of the commitments and
entitlements of different agents
        <xref ref-type="bibr" rid="ref7">(Giovagnoli 2007, p. 85)</xref>
        . In the social sphere of interaction
with other agents, performances respond to one another through acts of correction
and repair, through acts of translation, feedback loops, reward or punishment of a
performer, by trying to replicate an act in different circumstances, mimicking it, and
so on
        <xref ref-type="bibr" rid="ref12">(Rouse 2007, p. 49)</xref>
        . In the game of giving and asking for reasons, agents appeal
to external authorities
        <xref ref-type="bibr" rid="ref7">(Giovagnoli 2007, p. 83)</xref>
        to defend their claims, and update
their beliefs not only about objective facts in the world (for example about the
properties of copper
        <xref ref-type="bibr" rid="ref5">(Brandom 2004, p. 250)</xref>
        ), but also about normative facts
        <xref ref-type="bibr" rid="ref3 ref4">(Brandom
2000a)</xref>
        , for example about legal terms
        <xref ref-type="bibr" rid="ref8">(Klatt 2008)</xref>
        .
      </p>
      <p>
        Inconsistencies, errors and failures in discursive practice that form the basis for the
described update function can only be fully understood against the background of an
agent’s membership in the discursive community
        <xref ref-type="bibr" rid="ref10">(Kukla/Lance 2009, p. 190-195)</xref>
        , i.e.
if one looks at the explicitly social role of discursive updating.
      </p>
      <p>
        Discursive practices are characterized by Brandom as special cases and
developments of feedback-governed, ‘thick’ practices – ‘thick’ in the sense of “essentially
involving objects, events, and worldly states of affairs” (ibid., p. 178). They function
successfully if objective facts about what actually follows from and is incompatible
with what are incorporated in the “material inferences and incompatibilities that
articulate the concepts expressed by the vocabulary deployed according to the practical
norms implicit in that practice. This essentially holistic process involves getting on to
how things objectively are not just by making true claims, but also by acknowledging
the right concepts” (ibid., p. 186). Even if one assumes that “the how things are is
allowed to have normative significance for the correctness of someone’s sayings and
believings only in the context of someone else’s attitudes towards how things are”
        <xref ref-type="bibr" rid="ref3 ref4">(Brandom 2000b, p. 165)</xref>
        , that is that they are filtered through the takings-true of the
one assessing a claim, the central feature of a successful discursive practice seems to
be its relation to facts in the world. And even if one assumes that the facts are “caught
up in social practices by being endorsed by the one attributing knowledge”, so that the
picture doesn’t contain a kind of “contact between naked, unconceptualized reality
and someone’s application of concepts” (ibid.), skepticism about the normative
word2 Brandom himself draws an analogy between conceptual norms and political norms in
        <xref ref-type="bibr" rid="ref1">Brandom 1979</xref>
        .
world relations implied in this conception of discursive practices seems to remain.3 At
least, it seems to be a crucial point how a kind of “triangulation”
        <xref ref-type="bibr" rid="ref11 ref6">(Brandom 2008:
188)</xref>
        on an object in the world would look like that involved the differing
commitments of different subjects. The missing link in this picture of a social version of the
practice of discursive updating seems to be an elaborate conception of how
performances of different subjects respond to one another in a dynamic context of interaction.
5
      </p>
    </sec>
    <sec id="sec-5">
      <title>Conclusion</title>
      <p>The aim of the paper has been to take a closer look at the practice of discursive
updating and to present some – although very preliminary – ideas about how the
functional role of this practice might be interpreted in the light of inconsistencies, errors
and failures occurring in the interaction of different agents. If one looks at the
explicitly social role of discursive updating, the centrality of the relation to objects in the
world – the feedback-governed aspect of the practice, characterized by essentially
involving objects, events, and worldly states of affairs – seems to be problematic. The
relation that needs to be focused on when thinking about discursive updating in a
social sense seems to be the relation between the differing, conflicting commitments
undertaken by different subjects within a community and the ways in which these
differing, conflicting commitments are exhibited by performances that respond to one
another in a dynamic contexts.</p>
    </sec>
  </body>
  <back>
    <ref-list>
      <ref id="ref1">
        <mixed-citation>
          <string-name>
            <surname>Brandom</surname>
            ,
            <given-names>R. B.</given-names>
          </string-name>
          (
          <year>1979</year>
          )
          <article-title>“Freedom and Constraint by Norms”</article-title>
          , American Philosophical Quarterly,
          <volume>16</volume>
          (
          <issue>3</issue>
          ), pp.
          <fpage>187</fpage>
          -
          <lpage>196</lpage>
          .
        </mixed-citation>
      </ref>
      <ref id="ref2">
        <mixed-citation>
          <string-name>
            <surname>Brandom</surname>
            ,
            <given-names>R. B.</given-names>
          </string-name>
          (
          <year>1994</year>
          )
          <article-title>Making it Explicit</article-title>
          . Reasoning, Representing, and Discursive Commitment, Cambridge, MA/London: Harvard University Press.
        </mixed-citation>
      </ref>
      <ref id="ref3">
        <mixed-citation>
          <string-name>
            <surname>Brandom</surname>
            ,
            <given-names>R. B.</given-names>
          </string-name>
          (
          <year>2000a</year>
          ) “Facts, Norms, and Normative Facts: A Reply to Habermas”,
          <source>European Journal of Philosophy</source>
          ,
          <volume>8</volume>
          (
          <issue>3</issue>
          ), pp.
          <fpage>356</fpage>
          -
          <lpage>374</lpage>
          .
        </mixed-citation>
      </ref>
      <ref id="ref4">
        <mixed-citation>
          <string-name>
            <surname>Brandom</surname>
            ,
            <given-names>R. B.</given-names>
          </string-name>
          (
          <year>2000b</year>
          ) “
          <article-title>Vocabularies of Pragmatism: Synthesizing Naturalism and Historicism”, in: Rorty and his Critics, Robert B</article-title>
          .
          <string-name>
            <surname>Brandom</surname>
          </string-name>
          (ed.), Malden, MA: Blackwell, pp.
          <fpage>156</fpage>
          -
          <lpage>183</lpage>
          .
        </mixed-citation>
      </ref>
      <ref id="ref5">
        <mixed-citation>
          <string-name>
            <surname>Brandom</surname>
            ,
            <given-names>Robert B.</given-names>
          </string-name>
          <year>2004</year>
          :
          <article-title>“From a Critique of Cognitive Internalism to a Conception of Objective Spirit: Reflections on Descombes' Anthropological Holism”</article-title>
          , Inquiry,
          <volume>47</volume>
          (
          <issue>3</issue>
          ), pp.
          <fpage>236</fpage>
          -
          <lpage>253</lpage>
          .
        </mixed-citation>
      </ref>
      <ref id="ref6">
        <mixed-citation>
          <string-name>
            <surname>Brandom</surname>
            ,
            <given-names>R. B.</given-names>
          </string-name>
          (
          <year>2008</year>
          )
          <article-title>Between Saying and Doing</article-title>
          .
          <source>Towards an Analytic Pragmatism</source>
          , Oxford/New York: Oxford University Press.
        </mixed-citation>
      </ref>
      <ref id="ref7">
        <mixed-citation>
          <string-name>
            <surname>Giovagnoli</surname>
            ,
            <given-names>R.</given-names>
          </string-name>
          (
          <year>2007</year>
          )
          <article-title>Autonomy: A Matter of Content</article-title>
          , Firenze: Firenze University Press.
        </mixed-citation>
      </ref>
      <ref id="ref8">
        <mixed-citation>
          <string-name>
            <surname>Klatt</surname>
            ,
            <given-names>M.</given-names>
          </string-name>
          (
          <year>2008</year>
          )
          <article-title>Making the Law Explicit</article-title>
          .
          <source>The Normativity of Legal Argumentation</source>
          , Oxford/Portland, OR: Hart Publishing.
        </mixed-citation>
      </ref>
      <ref id="ref9">
        <mixed-citation>
          <article-title>3 This skepticism also applies to the conception of representation as presented already in the second part of Making it Explicit (Brandom</article-title>
          <year>1994</year>
          ).
        </mixed-citation>
      </ref>
      <ref id="ref10">
        <mixed-citation>
          <string-name>
            <surname>Kukla</surname>
            , R./Lance,
            <given-names>M.</given-names>
          </string-name>
          (
          <year>2009</year>
          ) 'Yo!' and 'Lo!'.
          <source>The Pragmatic Topography of the Space of Reasons</source>
          , Cambridge, MA/London: Harvard University Press.
        </mixed-citation>
      </ref>
      <ref id="ref11">
        <mixed-citation>
          <string-name>
            <surname>Pritzlaff</surname>
            ,
            <given-names>T.</given-names>
          </string-name>
          /Brandom,
          <string-name>
            <surname>R. B.</surname>
          </string-name>
          (
          <year>2008</year>
          ) “
          <article-title>Freedom is a Matter of Responsibility and Authority. An Interview with Robert B</article-title>
          . Brandom”,
          <source>European Journal of Political Theory</source>
          ,
          <volume>7</volume>
          (
          <issue>3</issue>
          ), pp.
          <fpage>365</fpage>
          -
          <lpage>381</lpage>
          .
        </mixed-citation>
      </ref>
      <ref id="ref12">
        <mixed-citation>
          <string-name>
            <surname>Rouse</surname>
            ,
            <given-names>J.</given-names>
          </string-name>
          (
          <year>2007</year>
          )
          <article-title>“Social Practices</article-title>
          and Normativity”,
          <source>Philosophy of the Social Sciences</source>
          ,
          <volume>37</volume>
          (
          <issue>1</issue>
          ), pp.
          <fpage>46</fpage>
          -
          <lpage>56</lpage>
          .
        </mixed-citation>
      </ref>
    </ref-list>
  </back>
</article>