LessonsNazar, the Movements of Thought, and the Need for LogicQuiz

النظر في اصطلاحهم عبارة عن ترتيب أمور معلومة
In their technical usage, nazar is the ordering of matters already known.

ليتأدى ذلك الترتيب إلى تحصيل المجهول
So that this ordering leads to acquiring knowledge of something unknown.

The definition has three elements:
1. Known matters: concepts or propositions already grasped.
2. Arrangement: placing those matters into a relationship suited to the aim.
3. The unknown attained: a concept or judgment not previously established.

Nazar is therefore not idle reflection; it is purposeful movement from what is known toward what is not yet known.

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Nazar, the Movements of Thought, and the Need for Logic

Arranging known matters, the original inference, two movements of thought, correct and flawed reasoning, and logic as a balance Read the bilingual lesson for Nazar, the Movements of Thought, and the Need for Logic and test your understanding with a focused quiz.

Lesson

1. The technical definition of nazar

النظر في اصطلاحهم عبارة عن ترتيب أمور معلومة
In their technical usage, nazar is the ordering of matters already known.

ليتأدى ذلك الترتيب إلى تحصيل المجهول
So that this ordering leads to acquiring knowledge of something unknown.

The definition has three elements:
1. Known matters: concepts or propositions already grasped.
2. Arrangement: placing those matters into a relationship suited to the aim.
3. The unknown attained: a concept or judgment not previously established.

Nazar is therefore not idle reflection; it is purposeful movement from what is known toward what is not yet known.

2. What counts as known information?

The word known matters. At minimum, the meanings employed in reasoning must be intelligible. If a term is not understood, one cannot reliably reason with it.

Conceptual information: grasping terms such as human, animal, change, and origination.
Propositional information: a statement such as “Every human is an animal,” used as an accepted premise within an argument.

Taking a premise as granted for analysis is not the same as establishing that it is true. We may test the form of an argument with provisional premises; sound knowledge also requires examining their truth.

3. Ordering is more than collecting statements

Suppose someone knows two propositions:
1. Every human is mortal.
2. Zayd is human.

Knowing them separately is not yet the complete inferential process. The mind must recognize that Zayd falls under the class of humans, allowing the conclusion Zayd is mortal.

Here arrangement is not just placing sentences in a visual order. It is the relevant logical connection between a universal premise and a particular instance that makes the conclusion follow.

4. Two kinds of what is unknown

An unknown is something the mind has not yet properly attained. Since knowledge has two main kinds, what is sought can also differ.

Unknown concept: A learner encounters the technical term “species” (nawʿ) but does not yet understand it. An appropriate definition and explanation may provide the missing conception.

Unknown judgment: Some premises are understood but their implication has not yet been recognized. Linking them correctly may yield a further judgment.

Nazar thus includes work toward both conceptual understanding and assent. A well-formed definition can help acquire a concept, while an argument can help establish a proposition.

5. The book’s example: change in the world

العالم متغير
The world is subject to change.

Change refers to an alteration of state or condition. In this premise, being subject to change is predicated of the world; it forms the first premise of the textbook’s example.

Water cooling and a plant growing are ordinary instances of change. Whether these observations establish the exact proposition about the entire world is a separate inquiry.

For now, identify the subject and predicate without assuming that writing down the premise has proved it true.

6. The second premise: a universal proposition

وكل متغير حادث
And everything subject to change is originated.

This is a universal premise: its predicate applies not just to one changing thing but to everything falling under “changing.” Here ḥādith means something whose existence has a beginning, not simply something recent.

The connecting term is changing. The first premise predicates change of the world; the second predicates origination of anything that changes.

This shared term enables the conclusion to follow formally, though the actual truth of the premises remains a further question.

7. How the conclusion is obtained

Arrange the two premises together:
1. The world is subject to change.
2. Everything subject to change is originated.
Conclusion: The world is originated.

فالعالم حادث
Therefore, the world is originated.

The first premise places the world in a class; the second applies a universal predicate to that class. Recognizing this connection yields the conclusion.

Thus, ordering known propositions can make explicit a conclusion not directly stated in either premise taken alone.

8. The structural link within the inference

The textbook’s inference contains three key terms:
World: what the conclusion is about.
Originated: what is asserted in the conclusion.
Changing: the mediating term that links the premises.

In general form: if something falls under B, and everything under B has property C, then that thing has property C. The exact quantification of the source’s first premise depends on how “the world” is understood as its subject.

The essential point is that the middle or mediating term connects the subject and predicate of the conclusion. Merely memorizing three lines is not the understanding of nazar.

9. Valid form and true premises are different

Understanding the inferential form of the world/change example is different from proving the truth of its premises.

If both premises are true in the intended senses, that form entails the conclusion. But entailment by itself does not show that the premises are actually true.

Example: Every bird is a stone; a pigeon is a bird; therefore a pigeon is a stone. The formal pattern is valid, but the first premise is false, so this is not sound knowledge of the world.

Logic must distinguish what follows from assumed premises from whether those premises are true.

10. A second worked inference

Nazar is not confined to the textbook’s theological example. Consider:
Premise 1: Every square has four equal sides.
Premise 2: This figure is a square.
Conclusion: This figure has four equal sides.

A known universal rule and the classification of one figure jointly establish a further judgment. A learner may know both premises yet need to recognize the link between them.

The example shows that the sought proposition need not already be explicitly stated, and that establishing the relevant connection is more than merely listing facts.

11. The first movement of thought: toward starting points

The commentary analyzes thinking into two mental movements. In the first, the mind moves from the unknown object of inquiry toward already available materials that might help establish it.

Suppose the question is whether the world is originated. The mind looks for potentially relevant premises, such as “the world changes” and “everything that changes is originated.”

This is the search for starting points. Not every piece of remembered knowledge will help; one selects items related to the question.

12. The second movement: from premises to conclusion

The second movement takes the selected materials and orders them to reach the conclusion.

1. The world changes.
2. Everything that changes is originated.
3. Therefore the world is originated.

The first movement asks which materials are relevant. The second asks what follows when those materials are connected appropriately.

These are distinguishable tasks: finding the material and drawing an inference from it. The distinction prepares for later analysis of syllogisms.

13. Immediate and gradual mental transitions

The commentary asks whether the two movements occur at once (dafʿī) or gradually (tadrījī).

At once: The mind arrives at the relevant premise or result without a noticeable sequence of intermediate steps.
Gradually: The thinker proceeds through distinct stages before arriving at the desired point.

A simple implication may be noticed immediately, while a difficult argument may require separate stages of recalling, comparing, and deriving.

The distinction concerns the manner of mental transition, not a rule that quick thoughts are always correct or gradual thoughts always wrong.

14. Four combinations of mental movement

The two movements, each either immediate or gradual, produce four combinations:
1. First immediate, second gradual.
2. First gradual, second immediate.
3. Both immediate.
4. Both gradual.

These stages need not take the same time. Suitable premises may come immediately while deriving the conclusion takes effort; sometimes finding the premises takes effort but the implication becomes apparent at once.

The distinction preserves the difference between locating the materials and reasoning from them.

15. Earlier and later accounts of fikr

The commentary also records a terminological disagreement. Earlier scholars apply fikr to the two movements taken together: from the unknown to possible starting points, and from those starting points back to the sought result.

Later scholars place particular emphasis on the ordering involved in the second movement as constitutive of fikr.

The practical point is to notice whether “thinking” names the entire search-and-inference process or more specifically the ordering that yields the conclusion. Either use still leaves the question of correct reasoning to be addressed.

16. Not every arrangement is correct

إياك وأن تظن أن كل ترتيب يكون صوابا موصلا إلى علم صحيح
Do not suppose that every arrangement is correct and leads to sound knowledge.

Putting statements together does not guarantee a sound connection. Errors may arise from an unsuitable middle term, a word being used in two senses, or a conclusion that is not entailed by the premises.

Example:
1. Every pigeon is a bird.
2. Every sparrow is a bird.
Invalid conclusion: Therefore every pigeon is a sparrow.

Both premises may be true, yet the conclusion does not follow. Sharing membership in the category bird does not make the two subclasses identical.

17. Why disagreement among thinkers matters

الاختلاف والتناقض بين أرباب النظر
Disagreement and contradiction among those who reason.

The text notes that intelligent thinkers can offer arguments for opposing, even contradictory, conclusions. If every arrangement yielded sound knowledge, the existence of mutually opposed proofs would be difficult to explain.

Disagreement alone does not establish which position is false. It shows why arguments need examination: two contradictory assertions cannot both be true at the same time and in the same respect.

18. The source’s opposed claims about the world

The first argument concluded:
العالم حادث
The world is originated.

The opposing argument uses the premise:
العالم مستغن عن المؤثر، وكل ما هذا شأنه فهو قديم
The world is independent of an efficient cause, and whatever is such is eternal.

This second argument claims the world is eternal (qadīm), while the first claims origination (ḥudūth). In this classical debate these are opposing claims.

The point is not to accept the truth of both sets of premises; it is to see how opposed conclusions can be advanced under the label of proof, making evaluation necessary.

19. Identifying genuine contradiction

ولا أظنك شاكّا في أن أحد الفكرين صحيح حق، والآخر فاسد غلط
I do not think you doubt that one of the two reasonings is correct and the other erroneous.

Of the same subject, at the same time and in the same respect, the claims “has a beginning” and “does not have a beginning” cannot both be true. That is the core of contradiction.

But if different senses or respects are involved, opposed-sounding statements need not form a strict contradiction. Logic therefore requires identifying the exact subject, meaning, and respect in which each proposition is asserted.

20. Where can an argument fail?

An argument may fail in at least three ways:
1. Ambiguous meanings: A term is used in different senses as though it were unchanged.
2. False or unsupported premises: A claim is treated as established without sufficient grounds.
3. Invalid arrangement: Even true premises are connected in a way that does not entail the conclusion.

Example: “Every cat is an animal; every dog is an animal; therefore every cat is a dog.” Its premises are true but its inference is invalid.

Sound knowledge therefore calls for clear meanings, justified premises, and valid inferential connections.

21. Order and structure in explanatory definitions

The commentary also discusses correct order and structure in an explanatory definition (qawl shāriḥ).

Correct order: Its components are presented fittingly; genus followed by differentia is the standard instructional arrangement.
Correct structure: The components combine into one intelligible account suited to the object being defined.

In the classical definition rational animal, “animal” is the genus and “rational” the differentia. Rationality here means the distinguishing capacity of intellect, not merely making sounds.

Beyond surface word order, the essential requirement is that the parts of a definition perform their proper explanatory roles.

22. Order and structure in a syllogism

The commentary makes a related distinction in syllogistic reasoning between correct arrangement and correct structural form.

Arrangement: The terms occupy appropriate positions in the premises.
Form: Their relational pattern actually supports a valid conclusion; repeating the same word is insufficient.

Valid form: All humans are animals; all scholars are humans; therefore all scholars are animals.
Invalid form: All scholars are humans; all writers are humans; therefore all scholars are writers.

The second pair shares the term “human” but does not establish the required universal connection between scholars and writers.

23. Why rules are needed despite natural reason

الفطرة الإنسانية غير كافية في تمييز الخطأ من الصواب
Human natural capacity is not sufficient, on its own, to distinguish error from correctness.

This does not mean people who have not studied logic can never reason correctly. Many ordinary judgments are made successfully without formal training. The point is that complex reasoning remains vulnerable to error, especially where terms are unclear or links between premises are difficult.

As grammar can help a competent speaker diagnose linguistic mistakes, logic offers principles for checking inference. Natural reason operates, and logical study disciplines its use.

24. Logic as a discipline of correct thinking

قانون عاصم عن الخطأ في الفكر
A rule or discipline protecting thought from error.

وهذا القانون هو المنطق والميزان
And this rule is logic, the balance.

Logic is needed because possessing information is not enough: reasoning also requires clear terms, suitable arrangement, and a connection that genuinely warrants the result. Logical study teaches principles for examining such reasoning.

Calling it the balance likens these principles to a scale that checks weight. The analogy concerns the assessment of inferential structure; a formally valid argument still needs true premises for sound knowledge.

25. Review: from nazar to logic

Nazar is the ordering of known matters so that an unknown may be attained.

Two movements of thought: moving from what is sought toward useful starting points, then arranging those starting points to obtain the conclusion. The commentary distinguishes immediate from gradual transitions and records earlier and later accounts of fikr.

Successful reasoning: Mere possession of premises is not enough; meanings, truth, and valid connection all matter.

Need for logic: Even experienced thinkers can reason incorrectly, so principles for evaluating thought are needed.

These foundations prepare for the book’s discussion of the name, subject matter, purpose, and benefit of logic.

Practice questions

Question 1

Which feature is essential to the technical definition of nazar?

  • Repeating words without meaning
  • Collecting large amounts of information
  • A fruitful ordering of known matters
  • Accepting every new claim without grounds

Question 2

What does the “unknown” in the definition of nazar mean?

  • A matter whose knowledge is still being sought
  • Any claim that must be false
  • A word that cannot be pronounced
  • Something inherently impossible to know

Question 3

What makes the conclusion follow in the Zayd-and-mortality argument?

  • Zayd’s name occurring twice
  • The premises having equal length
  • All assertions being necessarily true
  • Zayd being human together with all humans being mortal

Question 4

Understanding the technical term “species” by a definition seeks which kind of unknown?

  • Immediate assent
  • Inferential conception
  • A negative proposition
  • Denial of a syllogism

Question 5

What is the predicate in “al-ʿālam mutaghayyir”?

  • al-ʿālam (the world)
  • ḥādith (originated)
  • mutaghayyir (changing)
  • kull (every)

Question 6

What is the logical force of “kull” in “wa-kullu mutaghayyirin ḥādith”?

  • Extending the assertion to all changing things
  • Turning the premise into a question
  • Removing the meaning of origination
  • Turning changing into a proper name

Question 7

What is the mediating term in the source argument?

  • World
  • Changing
  • Originated
  • Maker

Question 8

If an argument has valid form but a false premise, what follows?

  • Its conclusion must be true in fact
  • Its form must also be invalid
  • Every term becomes meaningless
  • Its form may be valid without yielding sound knowledge

Question 9

What is wrong with “Every pigeon is a bird; every sparrow is a bird; therefore every pigeon is a sparrow”?

  • Both premises must be false
  • The word bird is misspelled
  • Two subclasses are not identical simply because they share a superclass
  • The second premise is not a proposition

Question 10

In the first movement of thought, where does the mind turn?

  • From the target to potentially relevant known starting points
  • From the result to every unrelated matter
  • From premises to spelling alone
  • Necessarily from the target to its negation

Question 11

What does the second movement of thought involve?

  • Deleting the question
  • Ordering premises to obtain the sought conclusion
  • Declaring all familiar things unknown
  • Removing relations between premises

Question 12

Which description best illustrates an immediate (dafʿī) transition?

  • Every argument turns out false
  • All premises take a very long time
  • The mind immediately recognizes the relevant connection
  • Only the pages of a book are turned

Question 13

If the first movement is gradual and the second immediate, what is correct?

  • This is impossible
  • Both movements must have the same pace
  • The first movement was immediate
  • Finding premises took time, but the conclusion was seen at once

Question 14

If each of two movements is immediate or gradual, how many combinations arise?

  • 2
  • 3
  • 4
  • 6

Question 15

Which statement best matches the earlier account of fikr reported in the commentary?

  • Fikr is only pronouncing a word
  • Fikr encompasses both mental movements
  • Fikr never involves a question or objective
  • Fikr is confined to immediate knowledge

Question 16

In the later account, what receives special emphasis?

  • The ordering that yields the conclusion
  • Merely listing sensible objects
  • Forgetting terms before reasoning
  • The elimination of every disagreement

Question 17

Why does the text reject the claim that every arrangement is correct?

  • Because no human can think
  • Because all information must be false
  • Because opposing arguments are in fact offered
  • Because correct conclusions never occur

Question 18

Taken in the same sense and respect, what is the relation between “the world is originated” and “the world is eternal”?

  • They express exactly the same claim
  • Both are only non-propositional phrases
  • They are wholly unrelated
  • They are opposed and cannot both be true in that respect

Question 19

If one term shifts between “water spring” and “eye” but is treated as univocal, what error is illustrated?

  • Equivocation between different meanings
  • Having too few premises
  • Proof that all premises are true
  • An instance of immediate knowledge

Question 20

If two true premises are used to draw a conclusion that does not follow, where is the central flaw?

  • Only calligraphy
  • Inferential form or connection
  • The external existence of each word
  • The premises being true

Question 21

Which point about an explanatory definition appears in the commentary?

  • Its components need no connection
  • Only the number of letters matters
  • Appropriate genus-differentia arrangement and coherent structure matter
  • Every definition is necessarily a categorical syllogism

Question 22

In the classical definition “rational animal,” how does “animal” function?

  • Differentia
  • Syllogistic conclusion
  • Negation
  • Genus

Question 23

Why is “All scholars are human; all writers are human; therefore all scholars are writers” invalid?

  • A shared superordinate term does not establish that the groups coincide
  • No writer can be human
  • Scholars and writers are not nouns
  • The conclusion contains only one word

Question 24

What does calling logic “the balance” primarily convey?

  • Logic weighs physical objects
  • Logic is just another name for arithmetic
  • Logic supplies a standard for assessing reasoning
  • Logic automatically makes false premises true

Question 25

Which statement most accurately expresses why logic is needed?

  • No one can ever reason correctly without a logic textbook
  • Natural reasoning can err, so rules for checking it are useful
  • Every disagreement is merely a linguistic error
  • After studying logic, premises need no evaluation

Question 26

Which approach gives the most complete evaluation of a proposition argued from premises?

  • Accept the conclusion because it is appealing
  • Check only that the argument is long
  • Count only the premises
  • Check meanings, truth of premises, and entailment of the conclusion

Question 27

For nazar, storing many facts suffices even without a relevant link to the sought conclusion.

Question 28

Of the two mental movements, one may be immediate while the other is gradual.

Question 29

Two genuinely contradictory claims about the same subject in the same respect cannot both be true.

Question 30

Correctly applying logical rules automatically makes false premises true.

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