22.02.05 · writing / argumentation

Structuring an argument

draft3 tiersLean: none

Anchor (Master): relevant academic sources in rhetoric and composition

Intuition [Beginner]

An argument is a claim backed by reasons, and reasons backed by evidence. The structure is simple: "I believe X because Y, and here is the evidence for Y." The complexity comes in making each piece do its job and arranging them so the reader can follow.

Three models cover most arguments you will write or encounter:

Claim-Evidence-Reasoning (CER): The simplest model. State your claim, present evidence, explain how the evidence supports the claim. This is the default structure for most academic essays.

Deductive: Start with a general principle, apply it to a specific case, draw a conclusion. "All mammals are warm-blooded. Whales are mammals. Therefore, whales are warm-blooded." The conclusion follows necessarily if the premises are true.

Inductive: Start with specific observations, identify a pattern, draw a general conclusion. "Every swan I have seen is white. Therefore, all swans are probably white." The conclusion is probable but not certain (black swans exist).

The model you choose depends on your material. If you are working from established principles, deduction is natural. If you are building from data, induction is the way to go. Most real arguments mix both.

Two advanced frameworks add nuance:

Toulmin model: Breaks arguments into six parts -- claim, grounds (evidence), warrant (the assumption connecting grounds to claim), backing (support for the warrant), qualifier (how strongly the claim holds), and rebuttal (conditions under which the claim might not hold). This model reveals the hidden assumptions in any argument.

Rogerian argument: Rather than defeating the opposing view, it seeks common ground. The writer presents the opposing position fairly, shows where both sides agree, and then builds a solution from that shared ground. Useful in emotionally charged debates where adversarial approaches harden resistance.

Visual [Beginner]

Claim-Evidence-Reasoning (CER):

  CLAIM        "The school day should start later."
    |
  EVIDENCE     "Studies show teenagers need 8-10 hours of sleep;
                schools starting before 8:30 cut into that."
    |
  REASONING    "Because adolescent sleep cycles naturally shift later,
                an 8:30 start would align school schedules with biology."


Toulmin model:

  CLAIM        "The city should expand public transit."
    |
  GROUNDS      "Ridership increased 22% last year; roads are at capacity."
    |
  WARRANT      "When demand exceeds infrastructure, expand the infrastructure."
    |            (often unstated -- this is where arguments get interesting)
  BACKING      "Transit expansion has relieved congestion in comparable cities."
    |
  QUALIFIER    "Provided the expansion is funded without regressive taxation."
    |
  REBUTTAL     "Opponents argue that remote work reduces future demand."


Deductive vs. Inductive:

  DEDUCTIVE (top-down)          INDUCTIVE (bottom-up)
  -------------------------     ---------------------------
  General principle             Specific observation 1
       |                        Specific observation 2
  Apply to case                      |
       |                        Identify pattern
  Conclusion                         |
                                 General conclusion (probable)

Worked example [Beginner]

Example 1: CER structure

Claim: Recess should be mandatory through middle school.

Evidence: A 2019 study in the Journal of School Health found that students who received at least 20 minutes of daily recess scored 15 percent higher on attention measures and reported lower stress levels than students without recess.

Reasoning: If attention and stress management improve with physical breaks, and if academic performance depends on sustained attention, then removing recess to increase instructional time is self-defeating: the lost attention costs more than the extra minutes gain.

Example 2: Toulmin model applied

Claim: Carbon pricing is the most efficient way to reduce emissions.

Grounds: Economists widely agree that pricing externalities produces optimal outcomes. British Columbia's carbon tax reduced per-capita emissions by 5-15 percent without harming economic growth.

Warrant: When an activity produces costs that are not borne by the person doing it (a negative externality), putting a price on that activity aligns private costs with social costs.

Backing: This principle (Pigouvian taxation) has been established in economics since Arthur Pigou's 1920 work and has been validated in contexts from sulfur dioxide trading to cigarette taxes.

Qualifier: Carbon pricing works best as part of a broader policy mix and is less effective in sectors where demand is highly price-inelastic.

Rebuttal: Critics argue that carbon taxes are regressive, burdening low-income households disproportionately. This objection can be addressed by distributing tax revenue as a dividend, as Canada's federal backstop does.

Example 3: Rogerian argument

Topic: Standardized testing in schools.

  1. Acknowledge the opposition: Proponents of standardized testing argue that it provides objective measures of student and school performance, enabling data-driven accountability.
  2. Validate the concern: This concern for accountability is legitimate; parents and policymakers need reliable information about whether schools are serving students.
  3. Establish common ground: Both sides agree that schools should be accountable and that students should learn.
  4. Propose a solution from common ground: The question is whether a single test can provide that accountability. A portfolio-based assessment system, in which students demonstrate learning through accumulated work samples, provides richer data without reducing education to test preparation.

Check your understanding [Beginner]

Formal definition [Intermediate+]

Argument structure refers to the systematic arrangement of claims, evidence, reasoning, and (optionally) counterargument in support of a thesis. The major structural models are:

Claim-Evidence-Reasoning (CER): A three-part structure in which a claim is supported by evidence and the reasoning that connects evidence to claim. The reasoning component distinguishes CER from mere assertion-plus-data; it makes explicit why the evidence is relevant and sufficient to support the claim.

Deductive argument: An argument in which the conclusion follows necessarily from the premises. Valid deductive forms include:

  • Modus ponens: If P then Q; P; therefore Q.
  • Modus tollens: If P then Q; not Q; therefore not P.
  • Categorical syllogism: All M are P; all S are M; therefore all S are P.

A deductive argument is valid if its conclusion follows from its premises and sound if it is valid and its premises are true.

Inductive argument: An argument in which the conclusion is probable given the premises but not guaranteed. Inductive strength depends on the quantity and representativeness of the evidence. Common forms include generalization (specific to general), analogy (X is like Y in relevant respects), and causal inference (A preceded B and is sufficient to produce B).

Toulmin model: Stephen Toulmin's layout of argument (1958) identifies six components:

  1. Claim (C): The conclusion being argued.
  2. Grounds (G): The evidence or data supporting the claim.
  3. Warrant (W): The inference rule or principle that authorizes the move from G to C.
  4. Backing (B): Support for the warrant (authority, additional evidence).
  5. Qualifier (Q): The strength of the claim (necessarily, probably, presumably).
  6. Rebuttal (R): Conditions under which the claim would not hold.

The Toulmin model's key contribution is making the warrant explicit. In everyday arguments, warrants are often assumed rather than stated, which means they escape scrutiny. Making them visible allows both writer and reader to evaluate whether the connection between evidence and claim is justified.

Rogerian argument: Developed by Carl Rogers and adapted for composition by Richard Young, Alton Becker, and Kenneth Pike. The structure:

  1. Introduce the issue and state the problem fairly.
  2. Describe the opposing view accurately and sympathetically.
  3. Describe your own position.
  4. Analyze what both positions share.
  5. Propose a resolution that accommodates both sides.

Rogerian argument does not abandon persuasion; it pursues persuasion through empathy rather than through the defeat of the opposing position.

Key concepts [Intermediate+]

  • Claim-Evidence-Reasoning (CER): The basic triad of argument. Claim states the position; evidence provides support; reasoning explains the connection.
  • Deduction: Reasoning from general principles to specific conclusions. Valid if the form is correct; sound if the form is correct and the premises are true.
  • Induction: Reasoning from specific observations to general conclusions. Strong if the evidence is sufficient and representative; never reaches certainty.
  • Toulmin model: A six-part framework for analyzing arguments: claim, grounds, warrant, backing, qualifier, rebuttal. Reveals hidden assumptions.
  • Warrant: The often-unstated principle connecting evidence to claim. The most vulnerable point in many arguments, because it is the least examined.
  • Rogerian argument: A non-adversarial structure that seeks common ground. Appropriate for emotionally charged or deeply polarized topics.
  • Qualifier: A word or phrase that limits the scope or strength of a claim ("probably," "in most cases," "assuming that"). Strengthens arguments by acknowledging their limits.

Rhetorical theory [Master]

Argument structure has been a central concern of rhetoric since its origins. Aristotle's Rhetoric distinguishes three modes of persuasion: logos (logical argument), ethos (the speaker's character and credibility), and pathos (emotional appeal). The structural models covered in this unit belong primarily to the domain of logos, but Aristotle recognized that no argument succeeds through logic alone.

Aristotle's treatment of enthymemes -- arguments in which one premise is unstated -- anticipates the Toulmin model's concept of the warrant. An enthymeme relies on the audience to supply the missing premise, which makes it both efficient (no need to state what everyone already assumes) and risky (if the audience does not share the assumption, the argument fails). The Toulmin model makes this dynamic explicit by requiring the analyst to identify the warrant, even when the original arguer left it unstated.

Stephen Toulmin's The Uses of Argument (1958) was originally a work of philosophy, not composition. Toulmin argued that formal logic was an inadequate model for most real-world reasoning, which operates through probabilistic warrants rather than deductive certainty. His model was adopted by composition scholars in the 1970s and 1980s as a pedagogical tool for teaching argument analysis. The adoption was not without controversy: some philosophers argued that Toulmin's model collapsed important distinctions between different types of reasoning, while some compositionists found it too analytical for the needs of student writers.

Rogerian argument, despite its name, was not developed by Carl Rogers himself. It was constructed by Young, Becker, and Pike in Rhetoric: Discovery and Change (1970) based on Rogers's principles of client-centered therapy. The adaptation was controversial from the start. Critics argued that Rogers's therapeutic method, which is designed for interpersonal reconciliation, does not translate cleanly to written argument, which is inherently public and often adversarial. Defenders countered that the Rogerian approach addresses a real gap in composition pedagogy: the absence of strategies for writing about divisive topics without inflaming the audience.

More recent work in argumentation theory has moved beyond the Toulmin/Rogerian dichotomy. The pragma-dialectical approach of Frans van Eemeren and Rob Grootendorst treats argument as a form of critical discussion governed by rules designed to ensure that disagreements are resolved through reasoned dialogue rather than through force, trickery, or disengagement. The new rhetoric of Chaim Perelman and Lucie Olbrechts-Tyteca emphasizes the importance of audience: an argument's structure and content should be shaped by the specific audience the writer addresses, and what counts as a good argument varies with audience values and knowledge.

Historical context [Master]

The study of argument structure in Western rhetoric begins with the Sophists, who taught argument as a practical skill, and with Aristotle, who systematized it. Aristotle's distinction between artistic and inartistic proofs, his taxonomy of topics (common and special), and his analysis of enthymemes provided the conceptual foundation for two millennia of argument theory.

In the medieval period, argument was formalized through the disputatio -- a structured oral debate governed by strict rules of procedure. The disputatio influenced the development of scholastic philosophy and left traces in modern academic writing (the thesis-antithesis structure, the formal objection and reply).

The scientific revolution shifted the prestige of argument from deductive reasoning toward empirical induction. Francis Bacon's Novum Organum (1620) attacked Aristotelian deduction as sterile and advocated for reasoning from observed data. This shift placed inductive argument at the center of scientific discourse, though deductive reasoning retained its place in mathematics and philosophy.

In the twentieth century, informal logic emerged as a distinct field in response to the perceived limitations of formal symbolic logic for analyzing real-world arguments. Toulmin's 1958 work was a landmark, followed by the development of fallacy theory (Hamblin, 1970), the pragma-dialectical school (van Eemeren and Grootendorst, 1984), and the application of critical thinking to composition pedagogy (Ennis, Paul, Facione).

In composition studies, the teaching of argument structure has been influenced by two competing tendencies. The current-traditional paradigm treats argument as a formal structure to be mastered (thesis, support, counterargument, conclusion). The process and post-process movements treat argument as a dynamic, situated activity that cannot be reduced to a single template. Current pedagogy attempts to balance these tendencies: teaching structural models while acknowledging that real arguments are messier and more context-dependent than any model suggests.

Bibliography [Master]

  • Aristotle. Rhetoric. Translated by W. Rhys Roberts. Books I-II on logos, ethos, pathos.
  • Toulmin, Stephen. The Uses of Argument. Cambridge: Cambridge University Press, 1958.
  • Perelman, Chaim, and Lucie Olbrechts-Tyteca. The New Rhetoric: A Treatise on Argumentation. Translated by John Wilkinson and Purcell Weaver. Notre Dame, IN: University of Notre Dame Press, 1969.
  • van Eemeren, Frans H., and Rob Grootendorst. Speech Acts in Argumentative Discussions. Dordrecht: Foris, 1984.
  • Young, Richard E., Alton L. Becker, and Kenneth L. Pike. Rhetoric: Discovery and Change. New York: Harcourt, Brace & World, 1970.
  • Fulkerson, Richard. "The Public Argument as a Social Act." College English 38, no. 4 (1976): 377-386.