The Universal Light of Logic and the Rich Soil of Culture: A Critical Dialogue with Professor Christopher W. Tindale on the Commensurability of Reason

Abstract

Professor Christopher W. Tindale of the University of Windsor, Canada, proposed in his "Rethinking Reason" lecture that the Western logical tradition centered on Aristotelian syllogism should not be regarded as the sole authoritative paradigm for judging all forms of rationality, and that argumentative practices obscured in non-Western cultures deserve restoration and recognition. Starting from a comparative study of the world's three ancient logical traditions—ancient Greek logic, Indian Hetuvidya (因明学), and Chinese Mohist logic—this paper argues: although different cultures exhibit significant differences in argumentative style, rhetorical strategy, and dialectical habit, at the most fundamental level of reasoning validity, there exist cross-cultural, universal logical principles. This universality is not an imposition of Western culture, but rather the inevitable product of human rational thought when confronting common cognitive tasks. This paper proposes a "logical form—cultural load" dual distinction framework, which both acknowledges the influence of cultural diversity on argumentative practice and defends universal standards of logical validity. By reconstructing Professor Tindale's argument within a Bayesian cognitive framework, the paper reveals his truly valuable insight—a call for cognitive justice and diversification of the hypothesis space, rather than a dissolution of logical universality. This paper contends that genuine academic dialogue should unfold within the wisdom of "harmony in difference" (和而不同), neither allowing universality to obliterate differences nor allowing diversity to dismantle the possibility of dialogue.

Keywords: Logical universalism; Logical relativism; Mohist logic; Hetuvidya; Argumentation theory; Bayesian cognition

Introduction: An Invitation to a Trans-Oceanic Dialogue

By the shores of the South Sea, at the foot of Baiyun Mountain, a trans-East-West academic dialogue is about to unfold. Professor Christopher W. Tindale, a leading figure in contemporary argumentation theory, will bring his "Rethinking Reason" lecture from the University of Windsor in Canada. The title itself is a tension-rich invitation—inviting us to reflect together: is that thing we unreflectively call "reason" a universal treasure of human thought, or an accidental product of a particular cultural tradition?

The Classic of Poetry (Shijing 诗经) says: "Stones from other mountains can serve to polish this jade." Professor Tindale's inquiry holds special affinity and challenge for us situated within the Chinese academic context. The affinity lies in the question he is concerned with—whether the argumentative modes of non-Western cultures have been obscured and suppressed—which resonates precisely with the fate of those "lost disciplines" (绝学) in our own academic tradition: Mohist dialectics (墨辩) fell silent for two millennia, Hetuvidya (因明学) remained confined to Buddhist monasteries, while Western logic came to be regarded as the "natural and proper" norm of thought along with modern science. The challenge lies in whether the path of answers he provides might lead toward a relativism of "each affirming their own truths and denying others' truths" (各是其是，各非其非), thereby dissolving the possibility of cross-cultural dialogue and critique.

This paper, from the standpoint of Chinese scholars, wishes to engage in a sincere critical dialogue (商榷) with Professor Tindale. We will uphold the wisdom expressed in the Record of Rites (Liji·Zhongyong 礼记·中庸): "Grasp both extremes and apply the middle for the people" (执其两端用其中于民), neither simply defending the "hegemony" of Western logic nor rashly embracing logical relativism, but rather seeking a more prudent, more comprehensive path of understanding between universality and particularity, form and content, logic and culture.

Chapter 1: Professor Tindale's Concerns: Reassessing the Obscured World of Argumentation

1.1 The Triple Structure of Argumentation: Logic, Dialectics, and Rhetoric

Before entering our critical dialogue, we must first achieve a sympathetic understanding of Professor Tindale's thought. According to scholarly reviews, Professor Tindale has long been devoted to rhetorical argumentation theory, advocating a shift from the traditional logical approach in argumentation studies toward a broader anthropological horizon. Traditionally, argumentation research can be divided into three approaches:

The first is the logical approach, treating argumentation as a product (argument as product), composed of propositions detached from context; the second is the dialectical approach, treating argumentation as a procedure (argument as procedure), where each step must conform to procedural rules; the third is the rhetorical approach, treating argumentation as a process (argument as process), emphasizing the influence of contextual factors on argumentation.

The "anthropological turn in argumentation research" that Professor Tindale advocates is precisely a deepening and expansion of the rhetorical approach. He主张 to "restore argumentation to the spacetime in which it occurs," opposing its detachment from the context of its production. This means that argumentation is not the abstract premise-conclusion propositional structure of traditional deductive logic, but rather a social practice activity that can be implemented in different ways, including visual and other multimodal modes of expression.

1.2 Reason: Paradigm, or Competitor?

The core question of Professor Tindale's lecture is: is the Western logical tradition centered on Aristotelian syllogism the authoritative paradigm for judging all forms of rationality, or merely a competitor that won in historical competition? He cites psychologist Kahneman's observation—"at any particular period, scholars in a particular field tend to share basic assumptions about their object of study"—pointing out that these assumptions often sink into the background, becoming "unseen" presuppositions that silently shape our thinking.

This observation resonates with the "paradigm" theory in philosophy of science. Since the decline of logical positivism, scientific methodology has undergone a shift from logicism to historicism, from objectivism to relativism, from monism to pluralism. Kuhn's concept of "incommensurability" (不可共量性) posed a fundamental challenge to the traditional view of scientific progress. Professor Tindale is clearly inspired by this intellectual lineage, attempting to extend the "paradigm" concept from philosophy of science to argumentation theory, asking whether Western logic is merely one among many "paradigms of rationality."

1.3 Three Key Questions: Presuppositions, Oppression, and Restoration

Professor Tindale develops his argument through three questions:

First, the question of underlying presuppositions: What unspoken yet customary assumptions lie behind our current argumentation theories? Do these assumptions carry the imprint of Western centrism?

Second, the question of identity oppression: Are non-mainstream cultural groups (such as indigenous peoples) forced to use the argumentative modes of the "oppressors" (the West) in order for their viewpoints to be considered "rational"? Does this constitute a form of epistemic injustice?

Third, the question of value restoration: How can we discover, understand, and restore the diverse argumentative practices that exist in non-Western contexts but are obscured by mainstream discourse?

These three questions are interlinked: from reflection on the mainstream paradigm, to exposure of power relations, to reconstruction of the value of Others, they constitute a complete critical narrative. Whether or not we agree with his conclusions, we must acknowledge: these questions themselves are profound and valuable; they compel us to reflect on those academic presuppositions we have taken for granted.

Chapter 2: The Dilemma of Logical Relativism: Self-Negation and the Impossibility of Dialogue

After fully affirming the value of Professor Tindale's problem-consciousness, we need to offer prudent criticism of his possible conclusion. If his argument ultimately leads toward logical relativism—that is, the view that different cultures possess their own incommensurable "logics" or "rationalities," and that argumentation between different cultures cannot be judged by unified standards—then this position will face a series of profound philosophical dilemmas.

2.1 The Self-Negation Problem of Relativism

Logical relativism faces a classic objection: it claims "all logic is relative" or "different cultures have different logics," but does this claim itself possess universal validity? If this claim holds, then it must itself be universally true, which constitutes self-negation. If this claim is only relatively true (i.e., "from my cultural perspective, all logic is relative"), then it cannot impose any constraint on those who advocate logical universality—the latter can perfectly respond: "from my perspective, you are wrong."

As Associate Professor Ren Yuan of Sun Yat-sen University noted in analyzing relativism: "Relativism denies the concept of absolute truth, yet the concept of absolute truth is an indispensable foundation for semantic reasoning." Without some shared concept of truth value, any dialogue with substantive content becomes impossible.

2.2 The Dissolution of Disagreement

A deeper problem is that logical relativism dissolves the possibility of substantive disagreement. Associate Professor Ren Yuan cites Kobel's two definitions of disagreement: Disagreement C, referring to two beliefs having contradictory content; and Disagreement N, referring to the necessity that when one is correct, the other cannot be correct.

If one adopts a thoroughgoing relativist stance, then when two people from different cultural traditions hold contrary judgments about an argument, we cannot say there is a genuine disagreement between them—because each judgment proceeds from the "logic" of their respective cultures, with no shared standard of evaluation. But if so, the possibility of cross-cultural critique and cross-cultural learning is thoroughly dismantled. As Ren Yuan points out: "Relativism dissolves the conflict between the two parties of disagreement, making substantive disagreement impossible."

2.3 The Paradox of Understanding

Professor Tindale attempts to "vindicate" the argumentative modes of non-Western cultures, and this effort itself implies a profound paradox: the fact that he can describe and explain the argumentative practices of Inuit or Australian Aboriginal peoples in English within a Western academic context itself proves that some form of understanding that crosses cultural boundaries is possible. If the "rationalities" of different cultures were truly incommensurable, how could such understanding be possible?

Confucius says: "Those whose paths differ cannot make plans together" (道不同不相为谋). Yet this statement is a description of value choices, not an assertion about cognitive possibility. Laozi also says: "The Way that can be spoken of is not the constant Way" (道可道，非常道). This acknowledges the ineffability of ultimate reality but does not negate the possibility of everyday speech and communication. Chinese thinkers never moved toward extreme relativism; rather, they always maintained the pursuit of "the Way unifying all as one" (道通为一).

Chapter 3: The Universal Light in the Three Great Logical Traditions

Let us turn to more constructive work: entering the world's three ancient logical traditions—ancient Greek logic, Indian Hetuvidya, and Chinese Mohist logic—to explore their deep isomorphisms. Viewed from the perspective of world logic as a whole, the "common logical essence" of these three traditions is an academic insight worthy of our highest regard.

3.1 Mohist Logic: The "Reason" (故) of Reasoning by Class (以类行)

The Mojing (墨经, Mohist Canons) states: "Proposals (辞) arise from reasons (故), grow through principles (理), and proceed by classes (类). Establishing a proposal without clarity about what gave rise to it is groundless. Now, if a person has no path to walk, having only strong limbs but no clarity about the path, their predicament can be anticipated standing still. Proposals proceed by class; establishing a proposal without clarity about its class will inevitably lead to predicament."

This passage succinctly expresses the Mohist understanding of argumentation structure. Liang Qichao's 1904 publication Mozi's Logic (墨子之论理学) pioneered the interpretation of Mohist thought through Western logic, arguing that the Mohist "using names to indicate realities" (以名举实) concerns concepts, "using proposals to express intentions" (以辞抒意) concerns propositions, and "using explanations to present reasons" (以说出故) concerns reasoning. This judgment continues to be followed by the academic community to this day.

The core of Mohist argumentation lies in "proceeding by class" (以类行). The so-called "class" (类) refers to the categorical attribution relations of things. A typical Mohist reasoning is:

A robber is a person. Killing a robber is not killing a person?

This proposition appears contradictory on the surface, yet the Mohists, by distinguishing "robber" as a kind of person (a class-membership relation) from "robber" as the bearer of a particular behavior, revealed that the key to reasoning validity lies in the clarity of "class." Without clarity of class, one will "inevitably be in predicament" (必困矣). This is precisely the Mohist normative requirement for reasoning validity—it possesses deep isomorphism with Western logic's requirement for the "middle term" and Hetuvidya's requirement for the "three characteristics of the reason" (因三相).

3.2 Hetuvidya Logic: The Deductive Nature of the Three Characteristics of the Reason

Hetuvidya (因明学) is a treasure of ancient Indian argumentation theory. The New Hetuvidya pioneered by Dignāga (陈那菩萨), replacing the "five-member argument" (五支作法) of Old Hetuvidya with the "three-member argument" (三支作法), marked a major breakthrough in Indian logical thought. According to systematic research by scholar Xu Chunmei, Dignāga's logical thought can be accurately grasped from the perspective of modern logic.

The typical form of the Hetuvidya three-member argument is:

Proposition (宗): Sound is impermanent Reason (因): Because it is produced Similar example (同喻): Whatever is produced is observed to be impermanent, such as a jar, etc. Dissimilar example (异喻): Whatever is permanent is observed to be non-produced, such as space, etc.

The core of Hetuvidya is the "three characteristics of the reason" (因三相):

Pervasion of the proposition's subject (遍是宗法性): The reason pervades the proposition's subject term (the property of being produced pervades sound);
Definite presence in similar instances (同品定有性): The reason must definitely exist in similar instances (whatever is produced is observed to be impermanent);
Complete absence in dissimilar instances (异品遍无性): The reason is completely absent in dissimilar instances (whatever is permanent is observed to be non-produced).

Xu Chunmei's research reveals an important conclusion: the reasoning nature of Dignāga's Hetuvidya is deductive. This means that Hetuvidya is not merely some kind of "analogical reasoning" or "dialectical technique," but rather a logical system with strict validity standards. From the perspective of modern logic, the three characteristics of the reason constitute the semantic model of the three-member argument, guaranteeing the necessity of reasoning.

3.3 Logical Commonalities of the Three Traditions: Class, Middle Term, and Reason

Placing the three traditions side by side for observation, the following common features can be discovered:

First, the isomorphism of core reasoning forms. Aristotelian syllogism depends on the mediating role of the middle term (M); Mohist "proceeding by class" depends on the clarity of categorical membership relations; Hetuvidya's three-member argument depends on the universal relation between the reason-property and the property to be proved. All three can be reduced to some form of inclusion-relation reasoning.

Second, normative requirements for reasoning validity. Aristotle established the figures and moods of syllogism, distinguishing valid and invalid moods; the Mohists emphasized "without clarity of class, one will inevitably be in predicament"; Hetuvidya developed fine-grained validity-determination rules such as the three characteristics of the reason and the nine-fold reason (九句因). This shows that the three are not merely differences in "argumentative style," but are pursuing the same normative goal: ensuring that reasoning can necessarily proceed from premises to conclusion.

Third, common identification of fallacies. Hetuvidya's "pseudo-reasons" (似因: unestablished, uncertain, contradictory), the Mohist criticisms of "wild citation" (狂举) and "non-class" (不类), and Aristotle's discussion of various fallacies exhibit striking convergences. This indicates that when different cultures face the same reasoning tasks, they encounter the same logical traps and make similar diagnoses.

3.4 Beyond the "Genetic Fallacy": The Ground of Validity Lies in Function, Not in Origin

Professor Tindale emphasizes that Western logic originated from Aristotle's Greece, which is indeed a fact. But can this historical fact entail that Western logic lacks universal authority? This conceals a "genetic fallacy" (起源谬误): equating the validity of a claim with the contingency of its historical origin, and thereby negating its universality.

The validity of logical principles does not depend on their historical origin, but on their normative function in reasoning practice. Even if Western logic indeed originated in a particular cultural context, as long as the reasoning principles it reveals (such as the law of non-contradiction, the rule of detachment, the syllogistic principle) possess universal applicability, their value cannot be negated on account of their "birth." Just as Marx used the anatomy of the human body as a key to the anatomy of the ape: "The anatomy of the human body is a key to the anatomy of the ape. The intimations of higher animal structures in lower animals, on the other hand, can only be understood when the higher animal itself is already known." This is not the arrogance of Western centrism, but the necessary method of scientific cognition: using more developed forms to understand less developed forms.

Chapter 4: The Distinction Between Style and Principle: A Dual Analytical Framework

How can we acknowledge cultural diversity while defending logical universality? We propose here a "logical form—cultural load" dual distinction framework.

4.1 The Logical Form Layer: Necessary Derivation Relations

The logical form layer concerns the validity conditions of reasoning. For example:

If all M is P, and S is M, then S is P.
If P entails Q, and P is true, then Q is true.
If A and B cannot both be true, then one of them is false.

These logical forms do not depend on particular cultural contexts. Whether ancient Greek philosophers, ancient Indian Hetuvidya masters, or pre-Qin (先秦) dialecticians, as long as they engage in valid reasoning, they must follow these formal constraints. This is not the colonization of Western logic, but a common discovery of human rationality when confronting relations of necessity.

4.2 The Cultural Load Layer: The Style and Rhetoric of Argumentation

The cultural load layer concerns the specific modes of expression in argumentation, including:

Rhetorical style: Is there a preference for aphorisms, allegories, and analogies, or for abstract formulas?
Dialectical habit: Is there a preference for direct confrontation and layer-by-layer refutation, or for indirect subtlety and restrained suggestion?
Authority basis: Is there appeal to classics, appeal to common sense, appeal to intuition, or appeal to experimental evidence?
Modal expression: Is the use of "necessarily," "should," "perhaps," or "不可 ( impermissible)," "当 (ought)," "或可 (perhaps permissible)"?

These dimensions are indeed deeply influenced by cultural traditions. For example, ancient Chinese thinkers indeed "heavily relied on argument by comparison (i.e., analogy, example, simile, and metaphor)," but this does not mean they did not understand deductive reasoning; it only means they had preferences in their mode of expression. Garrett's research indicates that the later Mohists did employ syllogistic and hypothetical deductive reasoning, demonstrating that deductive capacity is not the exclusive property of Western culture.

4.3 The Explanatory Power of the Dual Framework: The Case of "A White Horse Is Not a Horse"

Let us use Gongsun Long's (公孙龙) "a white horse is not a horse" (白马非马) as an example to demonstrate the explanatory power of the dual framework.

From the cultural load layer, "a white horse is not a horse" is a highly challenging rhetorical strategy; it attracts the audience's attention by creating an apparent paradox, guiding them to reflect on the relationship between "names" (名) and "realities" (实). This mode of expression is deeply rooted in the dialectical culture of the pre-Qin naming-and-dialectics movement (名辩思潮).

Yet from the logical form layer, the argument of "a white horse is not a horse" can be reconstructed as:

Premise 1: "Horse" (马) is what designates form; "White" (白) is what designates color.
Premise 2: What designates color is not what designates form.
Conclusion: Therefore "white horse" (designating both color and form) is not "horse" (designating form).

This reconstruction reveals that Gongsun Long was in fact distinguishing the conceptual levels of "species" (白马, white horse) and "genus" (马, horse). Expressed in the language of modern logic, he was arguing: $\{\text{white horse}\} \not\subseteq \{\text{horse}\}$ , because the former is a subset of the latter with additional attributes. This is a rigorous reasoning about categorical membership relations, whose validity can be expressed in the formal language of Western logic and can also be tested using Hetuvidya's three characteristics of the reason.

4.4 The Core Response to Professor Tindale

Based on the above analysis, our core response to Professor Tindale is as follows:

What you are concerned about as "obscured argumentative practices" largely belong to differences at the cultural load layer, rather than differences at the logical form layer. These differences are indeed worthy of study, worthy of respect, and worthy of understanding from the perspective of cultural anthropology, but they do not constitute a challenge to logical universality. The argumentative modes of non-Western cultural groups are not another kind of "logic," but rather diversified presentations of the same logical principles in different cultural contexts.

This is not a simple negation of Professor Tindale's views, but a more inclusive synthesis: we both accept his emphasis on cultural diversity and insist on the universality of logical principles. This synthesis aligns with the ancient Chinese wisdom of "the principle is one but its manifestations are diverse" (理一分殊)—the moon is reflected in ten thousand rivers; the principle is one yet its manifestations are diverse; different paths converge on the same destination.

Chapter 5: Reconstruction Under the Bayesian Framework: From Confrontation to Dialogue

The preceding sections criticized logical relativism. However, if we adopt a different interpretive approach and re-examine Professor Tindale's argument using a Bayesian cognitive framework, we may discover more valuable insights within it—insights that do not necessarily conflict with logical universalism.

5.1 Hypothesis Testing Under the Bayesian Update Framework

Let two competing hypotheses be set:

H₀ (Universalism Model): There exist cross-cultural universal logical principles; differences in argumentative style across cultures do not affect validity judgments.
H₁ (Pluralism Model): Different cultures possess their own unique "rationalities" or "logics"; validity judgments depend on cultural context.

The evidence Professor Tindale provides can be regarded as a series of observations updating Bayesian beliefs:

Table 1: Evaluation of Evidence Likelihood Ratios Under the Bayesian Framework

| Evidence | P(E|H₁) | P(E|H₀) | Likelihood Ratio P(E|H₁)/P(E|H₀) | | :--- | :---: | :---: | :---: | | E1: Diverse argumentative practices exist in non-Western cultures | High | Medium | ~2-3 | | E2: Basic assumptions of the mainstream paradigm often sink into the background | High | Medium | ~2-3 | | E3: Non-mainstream groups are disadvantaged under mainstream standards | High | Low | ~5-10 |

Even starting from a neutral prior (P(H₀)=P(H₁)=0.5), after updating through this evidence, the posterior probability of H₁ can reach a considerable level. This means that Professor Tindale indeed provides insights worthy of serious consideration.

5.2 The Truly Valuable Insight: The Limitation of the Hypothesis Space and Cognitive Justice

What, then, is the substance of these insights? We believe that what Professor Tindale truly wants to remind us of is not "logic is relative," but rather "our hypothesis space may have been limited by cultural bias."

In the Bayesian framework, the reasoning process includes:

Defining the possible hypothesis space $\{H_1, H_2, \dots, H_n\}$
Setting prior probabilities $P(H_i)$
Updating beliefs based on evidence $P(H_i|E)$

Professor Tindale's core concern lies in the first step: when we define "what are possible forms of rationality," do we, due to cultural bias, fail to even consider certain possibilities? Might the argumentative patterns of non-Western cultures constitute alternative hypotheses beyond Western logic? Have we converged too early to a single model in model selection?

This concern pertains to the issue of cognitive justice: when evaluating the argumentation of heterogeneous cultures, do we systematically undervalue their cognitive value? Do we, because their form of expression does not conform to the mainstream paradigm, exclude them from the hall of "rationality"?

5.3 Compatibility with Universalism

This concern does not contradict logical universalism, for the following reasons:

First, universal logical principles (such as the law of non-contradiction, the rule of detachment) are precisely the rules of reasoning upon which Bayesian updating itself depends. Without such rules, no belief updating can proceed. Therefore, Professor Tindale's research itself employs universal logical principles.

Second, cultural differences primarily manifest in "prior distributions" and "evidence weight allocation," rather than in reasoning rules. Different cultures may have different intuitions about what evidence is persuasive and different prior beliefs about what premises are acceptable. But this does not affect the universality of the updating rules themselves.

Third, the demand for "diversification of the hypothesis space" is precisely a self-correcting mechanism within the universalist framework. Acknowledging that there may be undiscovered logical insights (such as Hetuvidya's nine-fold reason, the Mohist "three-entity reasoning schema" 三物论式) is precisely an expression of universalism's openness. This is not a negation of universality, but a deepening of universality.

Chapter 6: The Contribution of Chinese Wisdom: Fu-Bi-Xing and Naming-Dialectics

While engaging in critical dialogue with Professor Tindale, we wish even more to demonstrate the unique contributions of the Chinese academic tradition to argumentation theory. These contributions do not serve as "another kind of logic" to challenge the authority of Western logic, but as rich expressions of "the same rationality," providing more vivid illustrations and deeper insights for universal logical principles.

6.1 Fu-Bi-Xing (赋比兴): The Wisdom of Poetic Argumentation

The Rites of Zhou (Zhouli·Chunguan 周礼·春官) records that the Grand Master "teaches the six poetic forms: called Feng (风), Fu (赋), Bi (比), Xing (兴), Ya (雅), and Song (颂)." The Great Preface to the Classic of Poetry (Shidaxu 诗大序) lists Fu, Bi, and Xing alongside Feng, Ya, and Song as the "Six Meanings" (六义). Zhu Xi's Collected Commentaries on the Classic of Poetry (Shiji Chuan 诗集传) explains: "Fu is laying out the matter and speaking of it directly. Bi is comparing this thing with that thing. Xing is first speaking of another thing to arouse the words being sung."

From the perspective of argumentation theory, Fu-Bi-Xing is not only a technique of poetic creation but also a unique mode of argumentation:

Fu (赋): Corresponds to direct declarative argumentation, similar to Western "categorical judgment."
Bi (比): Corresponds to analogical argumentation, establishing reasoning through similarity.
Xing (兴): Corresponds to metaphorical reasoning, arousing associations through imagery and guiding the audience to reach implicit conclusions.

The Analerta (论语) records Confucius conversing with his disciples about their aspirations. Zeng Xi (曾皙) said: "In late spring, when the spring garments are ready, with five or six young men wearing caps and six or seven boys, I would bathe in the Yi River, enjoy the breeze at the Rain Altar (舞雩), and return home singing." The Master sighed and said: "I agree with Dian!" (吾与点也). Zeng Xi's response was neither logical reasoning nor a direct assertion, but through a scene and a mood, it expressed a life attitude consonant with Confucius's "I agree with Dian." This is "Xing-style" argumentation—achieving consensus through imagery that arouses resonance.

6.2 The School of Names' Paralogisms and Rectification of Names

Scholars of the School of Names (名家), such as Hui Shi (惠施) and Gongsun Long (公孙龙), are renowned for their seemingly "paralogistic" (诡辩) propositions. Hui Shi's "Ten Propositions on Examining Things" (历物十事) include: "Heaven and earth are equally low; mountains and marshes are equally level." "The sun is at noon and simultaneously declining; a creature is simultaneously born and simultaneously dying." Gongsun Long's theories of "a white horse is not a horse" and "hard, white, and stone are three" have been endlessly disputed.

From the perspective of logic, the value of the School of Names' propositions lies in: they reveal, through apparent paradoxes, the tension between the vagueness of everyday language and the precision of logic. Gongsun Long's distinction between "horse" and "white horse" is in fact a distinction between intension and extension, between species concept and genus concept. Hui Shi's emphasis that "all things are ultimately identical and ultimately different" reveals the relativity between classes. These discussions possess deep theoretical resonance with Western logic's discussions about universals and definitions.

Zhuangzi (庄子) evaluated Hui Shi: "Hui Shi had many methods; his books filled five carts. But his path was flawed and驳, and his words did not hit the mark." (Zhuangzi·Tianxia). This is a criticism of the School of Names, yet it also acknowledges their erudition of "many methods" and "five carts." The value of the School of Names lies not in providing ready-made conclusions that can be adopted wholesale, but in stimulating profound reflection on language, concepts, and reasoning through extreme thought experiments.

6.3 The Localization of Hetuvidya in China: The Wisdom of Dialectical Debate (辩经)

Hetuvidya was transmitted to China along with Buddhism and underwent creative development in both Han Chinese and Tibetan Buddhism. According to Xu Chunmei's research, "dialectical debate" (辩经) is the representative form of Hetuvidya's localization. The dialectical debate practice in Tibetan Buddhist monasteries transformed Dignāga's logical thought into a "universally applicable tool for cognitive training."

Take the "debate on red and white colors" as an example:

Question: The color of the white conch is white; is the color of the white conch then red?
Answer: No.
Question: Then the color of the white conch is both white and not red?
Answer: Yes.

This form of dialectical debate, appearing on the surface as simple question and answer, actually trains precise grasp of conceptual relations: white and red are in an incompatible relation (dissimilar instances, 异品); the color of the white conch belongs to white (similar instances, 同品), therefore it necessarily does not belong to red (complete absence in dissimilar instances, 异品遍无性). This is precisely a vivid embodiment of Hetuvidya's "complete absence in dissimilar instances."

The value of dialectical debate lies in transforming abstract Hetuvidya logic into operational cognitive training, making logical principles no longer merely provisions in books but content for monks' daily practice. This is the unique contribution of Chinese-ized Hetuvidya to world logic education.

6.4 Harmony in Difference (和而不同): The Core Spirit of Chinese Wisdom

The Analerta (Lunyu·Zilu 论语·子路) records Confucius saying: "The gentleman is in harmony in difference (和而不同); the small man is in sameness without harmony (同而不和)." He Yan's (何晏) Collected Explanations of the Analerta (Lunyu Jijie 论语集解) cites a commentary: "The gentleman's heart is in harmony, yet what he sees differs from others, hence it is called 'difference' (不同)." This is the classic expression of Chinese wisdom regarding the relationship between plurality and unity.

The essence of "harmony in difference" lies in: acknowledging the existence of differences (不同), but not allowing differences to dissolve the possibility of community (和). Applied to cross-cultural logic research:

Acknowledging differences: Different cultures indeed have differences in argumentative style, rhetorical preference, and dialectical habit.
Pursuing harmony: These differences do not constitute incommensurable "logical" systems, but are diverse blossoms of the same rationality on different soils.
Dialogue generation: Through dialogue and exchange, different traditions can stimulate and nourish each other, jointly deepening the understanding of rationality.

This is entirely consonant with the spirit of logical universalism—universality is not the imposition of singularity, but the unity of diversity.

Chapter 7: Conclusion: Defending Rationality, Grounding Dialogue

Having reached this point, we may summarize our critical dialogue with Professor Tindale.

7.1 Three Points of Consensus

First, we reach three points of consensus with Professor Tindale:

First, the necessity of reflecting on Western centrism. The Western logical tradition has indeed acquired a certain "hegemonic" position in its historical dissemination, and this hegemony may lead to the neglect or devaluation of other cultures' argumentative modes. Maintaining vigilance against this is an expression of academic conscience.

Second, the importance of studying non-Western argumentative practices. Mohist logic, Hetuvidya, and various indigenous dialectical cultures contain rich intellectual resources worthy of in-depth excavation and systematic research. This is a necessary requirement for broadening the horizons of logic research.

Third, the urgency of attending to cognitive justice. When evaluating the argumentation of heterogeneous cultures, we need to be alert to systematic cognitive bias, avoiding the undervaluation of their cognitive value due to differences in form of expression.

7.2 Three Points of Critical Dialogue

Yet simultaneously, we offer three points of critical dialogue with Professor Tindale:

First, distinguish argumentative style from logical principles. Cultural differences primarily manifest at the level of argumentative style, rhetoric, and expression, rather than at the level of reasoning validity. Comparative study of the three great logical traditions demonstrates that cross-cultural universal logical principles exist, and these principles are the common heritage of human rationality.

Second, be wary of the trap of relativism. If one moves toward extreme logical relativism, it will dissolve the possibility of cross-cultural dialogue and critique, making different cultures mutually isolated "logical islands." This precisely contradicts Professor Tindale's original intention of promoting cross-cultural understanding.

Third, transcend the opposition between "monism and pluralism" through "harmony in difference" (和而不同). Genuine academic wisdom lies not in choosing between universalism and relativism, but in finding a path that both acknowledges diversity and insists on unity. The Chinese wisdom of "harmony in difference" provides us with such intellectual resources.

7.3 Dialogue Oriented Toward the Future

The Record of Rites (Liji·Zhongyong 礼记·中庸) states: "All things are nourished together without harming one another; all paths run parallel without conflicting." The argumentative modes of different cultural traditions are precisely vivid embodiments of this "nourishing together and running parallel." They are not mutually exclusive competitors, but the thousands of rivers that together illuminate the same moon of rationality.

Professor Tindale's lecture is an academically sincere invitation. He invites us to step out of our customary patterns of thought and re-examine those marginalized voices. The best response to this invitation is neither simple rejection nor blind acceptance, but unfolding a genuine dialogue—with the deep traditions of Chinese scholarship as our foundation, with the rigorous methods of logic as our tool, with an open and inclusive spirit as our attitude, jointly exploring the mysteries of "rationality."

In this dialogue at the foot of Baiyun Mountain, we wish, as younger scholars, to extend sincere respect to Professor Tindale who has come from afar, and to offer this critical dialogue article as a modest gift of trans-oceanic academic exchange. May this dialogue stimulate further reflection on rationality, logic, and cultural relations; may future argumentation research, guided by the wisdom of "harmony in difference," advance toward broader, more inclusive, and more profound horizons.

References

I. Chinese-Language References

[1] Liang Qichao. Mozi's Logic (墨子之论理学)[M]. Beijing: Beijing Publishing House, 1999.

[2] Ren Yuan. Relativism, Truth, and Disagreement[R]. Jinan: Shandong University Analytic Philosophy Forum, 2017.

[3] Xu Chunmei. Research on Dignāga's Hetuvidya from the Perspective of Modern Logic (现代逻辑视角下陈那因明研究)[M]. Beijing: Peking University Press, 2022.

[4] The Significance of Rescue Research on the Lost Discipline of Hetuvidya[J]. China Social Science Evaluation, 2020(3).

[5] Zhuang Wenrui. Reductionism · Paradigm Theory · Anarchism—Disputes over Modern Western Natural Science Methodology[J]. Soochow Philosophy Transmissions, 1993(2): 233-254.

[6] Cui Qingtian. Comparative Study of Mohist Logic and Aristotelian Logic[M]//Cui Qingtian. Rediscovery of a Prominent School (显学重光). Shenyang: Liaoning Education Press, 1997.

[7] Shen Youding. The Logic of the Mohist Canons (墨经的逻辑学)[M]. Beijing: Chinese Academy of Social Sciences Press, 1982.

[8] Zheng Weihong. Critical Annotation of the Great Commentary on Hetuvidya (因明大疏校释)[M]. Shanghai: Zhongxi Book Bureau, 2013.

II. Foreign-Language References

[9] Garrett M M. The "Mo-Tzu" and the "Lu-Shih Ch'un-Ch'iu": A Case Study of Classical Chinese Theory and Practice of Argument[D]. Berkeley: University of California, Berkeley, 1983.

[10] Hample D. Christopher W. Tindale: The Anthropology of Argument: Cultural Foundations of Rhetoric and Reason[J]. Argumentation, 2021, 35: 509-512.

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