[45] Some Problems With Non-Iterative/Non-Nuclear/Linear Structures

Doran (2021):

Blogger Comments:

To be clear, here Doran is looking for structures that fit the combination of factors that specify the last unfilled cell of his table.

Ignoring all the previously noted problems with the factors themselves, by the logic of the table, Doran should be looking for a structure that is:

1. the non-nuclear counterpart of subjacency duplexes, and
2. the non-iterative counterpart of covariate lexical relations, and
3. the linear counterpart of relational clauses without a Process.

He tentatively suggests:

• correlative conjunctions in English, or
• clitic doubling in Spanish, or
• full reduplication in Sundanese.

There is no argument as to how these satisfy the three requirements above, and in the case of correlative conjunctions — which do not, in themselves, constitute a structure — the structure that they mark is a paratactic clause complex, a univariate structure, which, in terms of Doran's factors is:

• iterative rather than non-iterative, and
• non-linear rather than linear.

[44] The Problem With Non-Linear/Non-Nuclear/Non-Iterative Structures

Doran (2021):

Blogger Comments:

To be clear, the additional claim here is that the previously top-right empty cell — the intersection of the factors [non-linear, non-nuclear, non-iterative] — is exemplified by relational clauses without a Process and the Sundanese verbal group.

[1] With regard to the relational clauses, this is inconsistent even within Doran's own model, because these clauses do have a nucleus, since the nucleus comprises the Medium as well as the Process, and these clauses do have a Medium: Identified in identifying clauses, and Carrier in attributive clauses.

[2] With regard to the Sundanese verbal group, the categorisation rests on Doran's claim that the Event function is optional, and confusions such as looking for dependency (logical structure) in an experiential analysis that is not consistent with SFL Theory:

[41] The Variations In Structure Afforded By Doran's 3 Factors

Doran (2021):

Blogger Comments:

[1] To be clear, this table presents the four cells of the preceding table as 'iterative'.

In the case of the top cell of the 'iterative' column, [non-linear, non-nuclear], this is consistent with SFL Theory, since parataxis is one type of interdependency relation in iterative structures of the logical metafunction.

In the case of the second cell of the 'iterative' column, [non-linear, nuclear], this is not consistent with SFL Theory, because, as previously explained, Doran's 'iteration' confuses multiple occurrences of (experiential) elements — Epithets, Qualifiers, circumstances — with iterative structures of the logical metafunction.

In the case of the third cell of the 'iterative' column, [linear, non-nuclear], this is not consistent with SFL Theory, not least because 'covariate' is not a type of structure, as Lemke (1989) acknowledges.

In the case of the bottom cell of the 'iterative' column, [linear, nuclear], this would be consistent with SFL Theory, if hypotaxis had been what Doran argued for, since hypotaxis is one type of interdependency relation in iterative structures of the logical metafunction. However, Doran's argument for this classification was actually concerned with the relation between Classifiers in the experiential structure of the nominal group.

This bottom cell also features a category for which there has been no argumentation, 'phoric covariate'. Again, the problem here is that 'covariate' is not a type of structure, and so not iterative in a structural sense.

[2] The 'non-iterative' column of the table has only two of its four cells filled.

The upper cell, [non-linear, nuclear], is consistent with SFL Theory in as much as experiential structures are multivariate and so non-iterative.

However, the lower cell, [linear, nuclear], identifies the subjacency duplex. On the one hand, there has been no argument for classifying this structure as linear, and on the other hand, the subjacency duplex is not a structure, not least because it is based on misunderstandings of constituency. See, for example, the previous posts:

• Misrepresenting The SFL Analysis Of The Structure Marker 'Of'
• Martin's Solution To The Non-Problem Of Structure Marker 'Of'
• Misconstruing A Spanish Prepositional Phrase As A Complex

[38] Problems With Lexical Relations As Structures

Doran (2021):

Blogger Comments:

[1] To be clear, 'lexical relations' refers to Martin's (1992) system of IDEATION, which is his rebranding of his misunderstandings of lexical cohesion (Halliday & Hasan 1976), relocated from textual lexicogrammar to experiential discourse semantics. Evidence here.

Importantly, from the perspective of SFL Theory, these cohesive relations are not structures, either in the sense of a unit as a configuration of elements, or in the sense of a complex of units.

[2] To be clear, Doran's second point again confuses the general notion of iteration (repetition) with iterative as a specific type of structure that realises the logical metafunction.

[3] To be clear, Doran's third point mistakes meronymic relations for interdependency relations, and mistakes lexical items for elements of structure.

[4] To be clear, Doran's fourth and fifth points are untenable, even in his own model. On the one hand, if these were relations of dependency, the relation would be hypotaxis, which corresponds, in terms of Doran's resources, to Martin's orbital (mono-nuclear) structure. So, on this basis, there should be a nucleus to which everything else relates.

On the other hand, given that these are part-whole relations, Doran could just as easily make the argument, from his own perspective, that the whole constitutes the nucleus, with the parts as satellites, though this would undermine the point he is trying to make.

And, in the final line, Doran shows again that he does not understand that 'interdependency' refers to taxis (parataxis and hypotaxis). 

[34] Problems With The Three Factors: Iteration, Nuclearity And Linearity

Doran (2021):

Blogger Comments:

[1] To be clear, as previously demonstrated:

• 'iteration' confuses multiple occurrences of multivariate elements with iterative structure;
• 'nuclearity' corresponds to a hypotactic relation between Martin's nucleus and satellite;
• 'linearity' corresponds to a hypotactic relation between Martin's satellite and satellite

where Martin's model misconstrues a multivariate experiential structure as a univariate logical structure.

[2] To be clear, on this model, the experiential structure of a nominal group like new two-storey brick house involves all three factors:

• iteration: 2 Classifiers;
• nuclearity: Thing–Epithet "status distinction" (logical hypotaxis);
• linearity: Classifier–Classifier "interdependency" (logical hypotaxis).

Clearly, Doran does not understand that "status distinction" (hypotaxis) is a type of interdependency.

[25] Martin's Orbital And Serial Structures

Doran (2021):

Blogger Comments:

[1] To be clear, before Matthiessen (1995), Martin's (1992: 22) model was:

and after Matthiessen (1995), Martin's (1996) model became:

[2] As previously explained, Martin's orbital structure misconstrues the multivariate structure of the experiential metafunction as the univariate relation of hypotaxis. As Doran confirms, "there is status distinction" (nucleus vs satellite).

[3] To be clear, Martin's serial structure, which, contrā Doran, he does not class as iterative, is not just similar to univariate structure, it is Martin's model of univariate structure. However, as previously explained, in modelling logical structure as multi-nuclear, it construes each unit as having the same status, and so reduces all univariate structure to parataxis.

[23] Misrepresenting SFL Theory On Hypotaxis

Doran (2021):

Blogger Comments:

[1] Doran's first point is misleading, because it is untrue. In SFL Theory, hypotaxis ("status differences") is a relation in iterative structures of the logical metafunction only. The source of Doran's confusion, as will be seen, is the model of structure in Martin (1996):

which unwittingly misconstrues the distinction between experiential and logical structure as the distinction between hypotaxis (the unequal status of nucleus and satellite) and parataxis (the equal status of multiple nuclei).

[2] As was the case with the multivariate vs univariate distinction, Doran again begins his argument on experiential structure with Halliday's first statement on the matter, instead of later revised theorising.

[3] To be clear, what Doran refers to as a 'flat' structure, Halliday (1979) terms a linear structure.

[22] Problems With Status And Iteration As Independent Factors

Doran (2021):

Blogger Comments:

[1] To be clear, hypotaxis ("status differences") is an interdependency relation that obtains only between units in unit complexes; that is, it obtains only in the iterative univariate structures of the logical metafunction. As demonstrated previously, Martin's notion of a subjacency duplex does not involve hypotaxis because it is not a unit complex, though if it were a complex, contrā Doran's analysis, it would indeed be an iterative structure, not a "non-iterative" structure.

That is, Doran has provided no valid evidence for his claim that status (interdependency) and iteration (in the sense of iterative structure) "can be separated out as independent factors".

[2] To be clear, it is only the third column of Doran table that is theoretically tenable. The first column is redundant because the terms of its cells, equal vs unequal status, only validly apply to the third column, and are merely glosses the terms 'parataxis' and 'hypotaxis' in that column.

The cells of the second column are invalid, on the one hand, because interdependency ("status") does not apply to multivariate structures, as will be demonstrated in future posts, and on the other hand, because subjacency duplexes are not valid structure types, as previously demonstrated.

[19] Martin's Solution To The Non-Problem Of Structure Marker 'Of'

Doran (2021):

Blogger Comments:

[1] As previously observed, the logical structure of this nominal group is:

[2] To be clear, Martin's (quite bizarre) solution to this non-existent problem is to misconstrue the numeral and noun as forming a complex with the preposition of the embedded prepositional phrase:

As previously explained, two litres and of do not form a unit complex because

• of is just one of two constituents of the prepositional phrase of water, and
• there is no logico-semantic relation of expansion or projection between two litres and of.

[3] To be clear, Martin's proposed "complex" is not a complex, and so it is not an iterative structure. On the other hand, if it were a complex, it would be an iterative structure, because all complexes are iterative structures, regardless of the number of units involved.

[18] Misrepresenting The SFL Analysis Of The Structure Marker 'Of'

Doran (2021):

Blogger Comments:

[1] To be clear, in SFL Theory, the structure marker of is accounted for in terms of the univariate logical structure of the nominal group where it is construed as a constituent of the rankshifted prepositional phrase serving as Postmodifier

[2] To be clear, in SFL Theory, the structure marker of is not dependent on two litres (which is only an embedded nominal group in the multivariate experiential analysis). There are two main reasons for this:

• interdependency relations obtain between units in unit complexes, and two litres and of are not two units that form a unit complex — i.e. two litres and of do not form a nominal group complex, or a preposition group complex — since of is a constituent of the prepositional phrase of water;
• interdependency relations involve the logico-semantic relations of expansion and projection, and there is no such relation between two litres and of.

[3] To be clear, the reason why "we can't have a nominal group of water" is that of water is a prepositional phrase, not a nominal group.

[4] To be clear, the question of whether of can or cannot "re-iterate" only arises from the misunderstandings identified in [1], [2] and [3] above.

[5] To be clear, in this instance, the structure marker of relates the nominals two litres and water and it is modelled in SFL Theory as a constituent of the prepositional phrase that serves as Postmodifier in the univariate structure of the nominal group.

It will be seen in the following post that Martin's proposed solution to this non-existent problem does not in fact relate two litres to the rest of the nominal group, since it only relates two litres to of, and does so by misconstruing of as dependent on two litres in a two-unit complex; see [2] above.

[16] Proposing A Formal Solution To A Non-Existent Problem

Doran (2021):

Blogger Comments:

[1] To be clear, there is no problem here, and so, no solution is called for. As previously demonstrated, all Doran's previous examples are unambiguously multivariate structures: segmental structures of the experiential metafunction. Doran's false conclusion derives from confusing "iterated" experiential elements with iterative structures — unit complexes — of the logical metafunction.

[2] As will be seen as this blog unfolds, the 'factors' solution that Doran proposes for this non-existent problem involves adopting the 'distinctive features' approach of Formal phonology to structure types — without regard to the metafunctional meaning that the structures realise.

[15] Misconstruing "Iterated Elements" As Iterative Structure

Doran (2021):

Blogger Comments:

[1] To be clear, Doran's claim here is that a multivariate structure with multiple occurrences of a specific element is inconsistent with the notion of a multivariate structure, because Halliday (1965) stipulated that the elements of a multivariate structure occur only once. 

However, Halliday (1965) was his very first paper distinguishing multivariate and univariate structures, written at the time of Scale & Category Grammar, before the emergence of Systemic Functional Grammar. It also included the similarly mistaken claim that Modifier°Head structures are multivariate, rather than univariate. No paper in the 56 years since Halliday (1965) has claimed that the elements of a multivariate structure occur only once (with the sole exception of the current work of Doran and Martin).

However, what is truly astonishing here is Doran's assumption that Halliday — unlike Doran — would fail to notice that such structures contradict the notion of multivariate structure ascribed to him by Doran.

[2] To be clear, the data that Doran presents as evidence of his claim are artificial constructions, rather than attested examples in natural texts. But, in any case, none of the "iterations" constitutes an iterative structure, since iterative structures are unit complexes, formed out of logico-semantic relations, such as group complexes or clause complexes. That is, the three Epithets do form an "Epithet complex", the two Qualifiers do not form a "Qualifier complex" and the three Locations do not form a "Location complex".

[3] To be clear, the clause example does not support Doran's case, even in Doran's own terms, because it actually features one Location — not three — realised by a (textually motivated) discontinuous elaborating paratactic prepositional phrase complex:

 

Compare the textually agnate clause:

and the agnate clause that deploys embedding instead:

[13] Multivariate Vs Univariate Structure

Doran (2021):

Blogger Comments:

[1] To be clear, Halliday & Matthiessen (2014: 451) explain a multivariate structure as follows:

A multivariate structure is a configuration of different functional relationships, like Theme + Rheme, Mood + Residue + Moodtag, or Actor + Process + Recipient + Goal. Note that, although it is the functions that are labelled, the structure actually consists of the relationships among them. While we have modelled all multivariate structures in terms of constituency, this structural mode is in fact most appropriate for the experiential mode of meaning. That is, the relationships among the elements in a multivariate structure can be characterised as segmental from an experiential point of view but as prosodic from an interpersonal point of view and as culminative from a textual one. A prototypical example of a segmental structure is the transitivity structure of a clause, a prototypical example of a prosodic structure is the tone contour that typically extends over a clause, and a prototypical example of a culminative structure is thematic prominence at the beginning of the clause (followed by rhematic non-prominence).

That is, in SFL Theory, the number of occurrences of a functional relation is irrelevant. For example, the experiential structure of a clause can feature multiple circumstances, and the interpersonal structure of a clause can feature multiple Adjuncts.

[2] To be clear, Halliday & Matthiessen (ibid.) explain a univariate structure as follows:

A univariate structure is an iteration of the same functional relationship: for example ‘and’ as in Bill Brewer, Jan Stewer, Peter Gurney, Peter Davy, Dan’l Whiddon, Harry Hawk, Old Uncle Tom Cobbley and all; ‘equals’ as in Tom, Tom, the piper’s son (Tom = Tom = the piper’s son); ‘is a subset of’ as in newfashioned three-cornered cambric country-cut handkerchief (what kind of handkerchief? – country-cut; what kind of country-cut handkerchief? – cambric, ... ); and so on. Such iterative structures are unique to the logical mode of meaning; they are, as noted, formed out of logico-semantic relations.

Importantly, iteration is the underlying principle of all univariate structures, because the second and subsequent units of a logical structure are each singly generated by re-entering the same network that generated the first unit. Matthiessen & Kasper(1987: 46):

Logical systems are assumed to be (linearly) recursive. The recursion is represented by a loop back to the entry condition in the system…

[4] Misrepresenting SFL On Structural Subtypes

Doran (2021):

Blogger Comments:

This is misleading, because it is not true. 

On the one hand, sixty years ago, SFL Theory did not exist. Halliday (1961) outlined Halliday's first theory, Scale & Category Grammar, and did not include any discussion of types of structure, though Halliday (1965) did introduce the distinction between multivariate and univariate structures, focusing on the latter. The first statement on structure types varying according to metafunction was Modes of meaning and modes of expression: types of grammatical structure and their determination by different semantic functions (Halliday 1979). An earlier paper on structure, Language structure and language function (Halliday 1970) did not propose such a structure typology.

On the other hand, a range of subtypes has not been proposed for any of the structure types. That is, a range of subtypes has not been proposed for culminative (textual), prosodic (interpersonal), segmental (experiential) or iterative (logical) structures. The relations in iterative structures have always been limited to either hypotactic or paratactic, and both relations may obtain within the same structure.

[2] Types Of Structure In SFL Theory

Doran (2021):

Blogger Comments:

[1] To be clear, the SFL model, since 1994, is given in Halliday & Matthiessen (2014: 85, 452):

[2] What Doran has in mind are Martin's models, which will be demonstrated here to involve theoretical misunderstandings and inconsistencies. These include the following from Martin (1992: 13, 22):

and Martin (1996):

[1] The Grammar Of Algebraic Mathematics

Doran (2021):

Blogger Comments:

To be clear, what Doran refers to as the 'radically iterative grammar' of algebra is simply the fact that solving an algebraic equation involves the paratactic elaboration of that equation. This is not problematical from the perspective of SFL Theory.

Experientially, an algebraic equation is a decoding identifying clause. Solving the equation involves elaborating it until each unknown Token is identified by a Value.

See also Yaegan Doran Failing To Recognise The Interpersonal Function In Mathematics.