Names, Definition, Subject Matter, and Aim of Logic

1. From the need for logic to its identity

The preceding lesson described nazar as arranging what is known so that an unknown concept or judgment can be attained. Yet not every arrangement works: a premise can be unsupported, and a conclusion can fail to follow.

This need introduces the identity of logic. Why is it called manṭiq? Why is it a mīzān (balance) or an instrumental science? What are its subject matter, purpose and benefit?

These questions fit together. Logic does not study everything a person thinks; it studies the principles by which reasoning is properly conducted.

2. The first reason for the name manṭiq

أما تسميته بالمنطق فلتأثيره في النطق الظاهري، أعني التكلم
It is called manṭiq because it affects outward speech, that is, speaking.

Outward speech means expressing meanings and arguments in words. Clear concepts and well-ordered reasoning enable a person to present a case in an intelligible sequence.

This is not merely eloquence or attractive language. The relevant gain is presenting a claim, evidence and conclusion without confusing their roles.

3. The second reason: inward speech

وكذا في النطق الباطني أعني الإدراك
Likewise, it affects inward speech, meaning cognition.

Inward speech is not audible speech. It is the mind's activity of grasping meanings and relating them correctly. One can misunderstand a definition or reach a sound inference without saying a word.

For example, “Every animal is human” differs from “Every human is an animal” in scope and inclusion, not in vocal elegance. Logic helps the mind distinguish these relations even in silence.

4. Logic and the classification of things

لأن المنطقي يعرف حقائق الأشياء، ويعلم أجناسها وفصولها وأنواعها ولوازمها وخواصها
For one trained in logic knows how to consider the realities of things and their genera, differentiae, species, necessary attributes and distinctive properties.

These are technical relations. A genus is shared by more than one species; a species is a universal considered in relation to its individuals; a differentia expresses an essential distinction. A property is a distinctive non-essential attribute, and a necessary concomitant cannot be separated from its subject in the relevant respect.

The Five Universals will be treated later. Here the point is that logic supplies disciplined rules of classification and definition; it does not make every external reality automatically known.

5. Why logic is called a balance

وأما تسميته بالميزان؛ فلأنه قسطاس للعقل يوزن به الأفكار الصحيحة
It is called a balance because it is a standard for the intellect by which sound thoughts are weighed.

Mīzān means balance, and qisṭās denotes a standard of measurement. A physical balance measures weight; logic provides standards for definitions and inferences.

A scale does not create the goods weighed on it. Likewise, logic does not manufacture facts about the world, but helps establish whether a proposed conclusion follows correctly from its premises.

6. How the balance exposes flawed reasoning

ويعرف به نقصان ما في الأفكار الفاسدة واختلال ما في الأنظار الكاسدة
Through it one identifies what is defective in corrupt thinking and unsound inference.

For example:
1. All humans are living beings.
2. A horse is a living being.
Invalid conclusion: Therefore, a horse is human.

Being a living being is not exclusive to humans. Sharing a broad attribute does not make two kinds identical. Logic helps expose the defect in the inference rather than merely rejecting its conclusion.

7. Logic as an instrumental science

ومن ثم يقال له: «العلم الآلي»؛ لكونه آلة لجميع العلوم لا سيما للعلوم الحكمية
Hence it is called an instrumental science, since it serves as a tool for the sciences, especially the philosophical disciplines.

An instrument helps accomplish another task. Logic can assist other disciplines in defining terms, classifying problems and organizing arguments.

A physician considers relations among diagnostic evidence; a jurist distinguishes premises from conclusions. Their subject expertise differs, but some standards of inference are shared.

8. Aristotle and the codification of logic

اعلم أن أرسطاطاليس الحكيم دوّن هذا العلم بأمر الإسكندر الرومي
Know that Aristotle the philosopher codified this science by the command of Alexander the Roman.

Codification means collecting and arranging discussions into systematic principles and chapters. The textbook associates Aristotle's codification with Alexander's command; this is presented here as the book's historical account.

The educational point is that people reasoned before the science was formally organized, but organizing its rules made them easier to teach, examine and apply.

9. The title “First Teacher”

وهذا يلقب بالمعلم الأول
He is given the title “the First Teacher.”

This title refers to Aristotle. It does not imply that no teacher lived before him. It marks his foundational standing in a particular tradition of philosophical and logical instruction.

The ordinary words “first teacher” and the scholarly title al-Muʿallim al-Awwal must therefore be distinguished. Scholarly titles refer to a field and a received intellectual tradition.

10. Al-Farabi: the Second Teacher

والفارابي هذب هذا الفن وهو المعلم الثاني
Al-Farabi refined this discipline and is the Second Teacher.

Refining a discipline involves organizing, clarifying and improving discussions already received. This distinguishes initial codification from later scholarly development.

First Teacher: Aristotle, associated with systematizing logic.
Second Teacher: Al-Farabi, celebrated for clarifying and refining it.

The titles are not offices and do not imply that the two figures were contemporaries or in a direct teacher–student relationship.

11. Ibn Sina and further systematization

وبعد إضافة كتب الفارابي فصله الشيخ أبو علي بن سينا
Following the additions in al-Farabi's books, Shaykh Abu Ali ibn Sina set out the science in further detail.

Ibn Sina is mentioned as part of the continued elaboration and organization of logic. A scholarly discipline can be systematized at one stage and clarified further by later writers.

The text presents three stages of service:
1. Aristotle: codification.
2. Al-Farabi: refinement.
3. Ibn Sina: detailed elaboration.

These details supply historical context rather than replacing the study of logical principles.

12. The textbook’s definition of logic

أنه علم بقوانين تعصم مراعاتها الذهن عن الخطأ في الفكر
It is knowledge of rules whose observance protects the mind from error in thinking.

Its key expressions are:
Rules: standards for examining thought.
Their observance: not merely knowing the rules but applying them correctly.
Error in thought: faulty conception or inference that prevents proper understanding or conclusion.

The definition therefore means protection through the correct observance of rules, not a magical absence of error.

13. Knowing rules versus observing them

The phrase their observance is essential to the definition. A person may memorize a rule of inference yet misapply it in an argument. In that case, knowledge of the rule has not achieved its intended benefit.

Example: Understanding that “Every human is an animal” does not imply “Every animal is human” is one thing. Making that reverse inference in discussion is a failure to observe the rule.

Thus the protective effect of logic depends on actually using the rule correctly. Memorizing its terminology alone is insufficient.

14. What protection from error does—and does not—mean

The word taʿṣim does not mean that everyone trained in logic becomes incapable of any mistake. A person can misunderstand a premise, neglect a rule or lack evidence about a particular subject.

The commentary highlights the difference between having a means of protection and using it correctly. An error resulting from disregard of a rule does not invalidate the rule itself.

The intended meaning is that logic provides principles capable of guarding thought when observed; it does not guarantee infallibility to every student.

15. What is the subject matter of a science?

موضوع كل علم ما يبحث فيه عن عوارضه الذاتية له
The subject matter of a science is that about which its proper attributes are investigated.

A science's subject matter is the central entity or field under investigation. Its proper attributes are characteristics related to that subject in the way the discipline investigates. Here “proper” is technical, not merely “inborn.”

Identifying the subject of a discipline clarifies what its characteristic questions concern and what falls outside its proper investigation.

16. The book’s examples: medicine and grammar

كبدن الإنسان للطب، والكلمة والكلام لعلم النحو
As the human body is the subject of medicine, and word and speech are the subjects of grammar.

Medicine: examines conditions such as health and disease in relation to the body. A particular treatment is not the whole subject matter of medicine.
Grammar: examines words and connected utterances, including syntactic relations and inflection. Its field is linguistic structures, not the human body.

These examples distinguish what a science studies from its title or one of its practical benefits.

17. The subject matter of logic: known concepts and judgments

فموضوع المنطق: المعلومات التصورية والتصديقية
Thus the subject matter of logic consists of known conceptions and judgments.

Conceptual information includes meanings such as “human,” “animal” and “mortal.” Propositional information includes statements expressing judgments, such as “Every human is mortal.”

Yet this is not the complete qualification. Knowing that some water is cold is not, by itself, the whole business of logic. What matters is how known concepts and propositions lead to what is not yet known.

18. The essential qualification: in a specific respect

لكن لا مطلقا، بل من حيث إنها موصلة إلى المجهول التصوري والتصديقي
Not in an unrestricted sense, but insofar as they lead to unknown conceptions and judgments.

The phrase insofar as limits the topic. Different disciplines may consider the same thing under different aspects.

Medicine examines the human body; grammar examines the syntax of the word “human”; logic examines its meaning and relation to other terms in forming a proper definition. This qualification distinguishes logic's subject from that of other sciences.

19. Known concepts as a route to an unknown concept

The first direction is moving from known concepts to an unknown conception. Constructing a definition requires a suitable relation among a wider class and its distinguishing features.

For example, a learner who does not understand “square” may benefit from the description “a right-angled plane figure with four equal sides.” Familiar concepts combine to clarify a new one.

Listing many properties does not always provide a correct definition. Logic asks whether the proposed characteristics clarify the intended concept and distinguish it appropriately.

20. Known judgments as a route to an unknown judgment

The second direction arranges known propositions to obtain an unknown judgment. The necessary relation among premises is crucial.

Premise 1: Every square is a rectangle.
Premise 2: This figure is a square.
Conclusion: This figure is a rectangle.

The conclusion follows through a structured relation, not through accidental repetition of words. Logic examines the inferential arrangement; confirming that this particular figure is a square may require examining the figure itself.

21. What is a science’s ultimate aim?

اعلم أن لكل علم وصناعة غاية وإلا لكان طلبه عبثا والجد فيه لغوا
Know that every science and craft has an aim; otherwise seeking it would be purposeless and striving in it fruitless.

A science’s subject matter answers what it investigates, while its aim answers what is sought by that investigation.

For medicine, the human body is the subject, while healing and the preservation of health are among its purposes. Likewise, the content logic studies must be distinguished from the benefit sought through that study.

22. The aim of logic and its conditional protection

وغاية علم الميزان الإصابة في الفكر وحفظ الرأي عن الخطأ في النظر
The aim of the science of the balance is correctness in thought and safeguarding judgment against error in reasoning.

Correctness in thought means reaching a sought conclusion through appropriate reasoning. Safeguarding judgment describes the benefit of avoiding invalid inference.

The aim is not achieved simply by reading a book. It requires understanding the rules, choosing appropriate premises and applying those rules. Thus “observance” in the definition and “protection from error” in the aim are closely connected.

23. Distinguishing definition, subject and aim

Three aspects of logic should not be treated as interchangeable.

Definition: A science whose rules, when observed, protect the mind from error in thought.
Subject matter: Known concepts and judgments considered insofar as they lead to unknown concepts and judgments.
Aim: To attain correctness in thinking and avoid errors of inference.

These respectively describe what kind of discipline it is, what it investigates, and what benefit it seeks. Its field of inquiry and its purpose are connected but not synonymous.

24. Why logic introduces the study of words

لا شغل للمنطقي من حيث إنه منطقي ببحث الألفاظ
The logician, in the capacity of a logician, is not primarily occupied with the study of words.

This does not forbid discussion of language in a logic book. Logic's principal concern is concepts and propositions, not every grammatical inflection or lexical feature of a language.

Definitions, premises and conclusions nevertheless have to be communicated. If the intended meaning of an expression is unclear, the argument may be misunderstood. This is why words and signification are introduced as necessary preliminary subjects.

25. Why signification comes next

لأن الإفادة والاستفادة موقوفة عليه، ولذلك يقدم بحث الدلالة والألفاظ في كتب المنطق
Because conveying and receiving understanding depend on it, the discussion of signification and words is placed first in books of logic.

Ifādah is conveying a meaning; istifādah is gaining a meaning from another. If a speaker uses “human” in one sense and a listener hears another, even an otherwise orderly argument may be misunderstood.

The next topic is therefore dalālah (signification): how knowing one thing points to another, and how an expression signifies meaning. Its formal divisions are the subject of the following lesson.