How to use this course
Ibn Sina, known in Latin as Avicenna, is remembered as a metaphysician and as the author of the Canon of Medicine, which was taught in European universities for five centuries. This course looks at a less familiar side: the natural philosopher. In the physics of his great encyclopedia, Kitab al-Shifaʾ (The Cure), he reworked Aristotle’s account of motion, gave a new explanation of why thrown bodies keep moving, argued about void and indivisible atoms, and set out how a science should establish its principles. The same habits of mind organize his medicine.
- Basic Newtonian mechanics: velocity, force, friction and drag.
- Elementary geometry and trigonometry, and the Pythagorean theorem.
- For Lesson 09, the vocabulary of propositional and syllogistic logic.
- No knowledge of Arabic or of Aristotle is assumed; the relevant Aristotelian ideas are explained as they come up.
Each technical lesson opens with a paragraph for the general reader, then states Ibn Sina’s positions as precisely as the texts allow, reconstructs his arguments and compares them with modern physics. Formulas are modern; Ibn Sina wrote in words. When we use symbols to model his claims, we say so. Exercises have folded solutions. The biography rests mainly on his own autobiography, continued after his death by his pupil al-Juzjani; we mark where other sources or later stories enter.
Timeline
| c. 980 | Born at Afshana near Bukhara, capital of the Samanid state. The date is usually given as 980; Dimitri Gutas argues for the 970s, possibly as early as 964. |
| c. 990 | Has memorized the Quran and much Arabic literature by about age ten (autobiography). |
| c. 996–97 | Treats the Samanid ruler Nuh II ibn Mansur and gains access to the royal library. |
| 999 | The Qarakhanids take Bukhara; Samanid rule collapses. |
| c. 1000–1012 | At Gurganj in Khwarazm, in the service of the Maʾmunid ruler Abu’l-Hasan ʿAli. Exchanges questions and answers with al-Biruni. |
| 1012–13 | Travels to Jurjan (Gorgan); meets al-Juzjani, who becomes his lifelong pupil. |
| c. 1014 | At Rayy, serving Majd al-Dawla and his mother Sayyida. |
| c. 1015–1021 | Hamadan: physician and twice vizier to the Buyid emir Shams al-Dawla. Works on the Canon and the Shifaʾ. |
| 1021–23 | After Shams al-Dawla’s death, hides in Hamadan, writes much of the Shifaʾ, then is imprisoned for about four months at the fortress of Fardajan. |
| early 1020s | Escapes to Isfahan and enters the service of the Kakuyid ruler ʿAlaʾ al-Dawla, his patron for the rest of his life. |
| c. 1025 | al-Qanun fi’l-tibb (The Canon of Medicine) completed. |
| c. 1020–27 | Kitab al-Shifaʾ completed in substance by about 1020, with its last parts finished in Isfahan by about 1027. Later the shorter Najat, the Persian Danishnama-yi ʿAlaʾi, and the Isharat wa’l-tanbihat. |
| 1030 | Ghaznavid forces take Isfahan; his book al-Insaf (Fair Judgment) is lost in the turmoil. |
| 1037 | Falls ill with colic on campaign with ʿAlaʾ al-Dawla; dies in Hamadan in June and is buried there. |
| 12th century | Parts of the Shifaʾ translated into Latin at Toledo; Gerard of Cremona translates the Canon. |
| 1472–73 | First printed Latin editions of the Canon. |
Bukhara, c. 980–999
Abu ʿAli al-Husayn ibn ʿAbd Allah ibn Sina was born at Afshana, a village near Bukhara, in today’s Uzbekistan. Bukhara was the capital of the Samanids, a Persian dynasty that ruled Transoxiana and Khorasan nominally on behalf of the Abbasid caliph. His father ʿAbd Allah came from Balkh and served as a Samanid official, governing a village on a royal estate. His mother was from Afshana. The family moved to Bukhara when he was young.
The autobiography
Our main source is a short autobiography that Ibn Sina dictated to his pupil Abu ʿUbayd al-Juzjani, who added an account of his master’s later life. It is a self-portrait with a purpose: Ibn Sina presents himself as a largely self-taught student who reached all the sciences by his own intelligence. Historians accept its main facts and read its tone with care.
By his own account he had learned the Quran and much literature by about ten. He studied arithmetic with a greengrocer who used Indian calculation and law with the Hanafi jurist Ismaʿil al-Zahid. His father’s household discussed the doctrines of the Ismaʿili missionaries, which he listened to without accepting. A visiting teacher, Abu ʿAbd Allah al-Natili, began him on logic with Porphyry’s Isagoge; the pupil soon outran the teacher and worked through Euclid and Ptolemy’s Almagest on his own.
Medicine and metaphysics
He took up medicine in his early teens, found it easy compared with mathematics and metaphysics, and was treating patients by about sixteen. The hard subject was metaphysics. He says he read Aristotle’s Metaphysics forty times, until he knew it by heart, without grasping its purpose. Then a bookseller pressed on him a cheap copy of al-Farabi’s short treatise on the aims of the Metaphysics, and the meaning opened at once. He gave alms to the poor in thanks.
At about seventeen he was called to treat the Samanid ruler Nuh II ibn Mansur, and as a reward was allowed into the royal library. He describes rooms of chests, each for one science, and books whose names most people had never heard. He wrote his first works, on the soul and on philosophy, before he was twenty-two. Soon after, his father died and the Samanid state fell: the Qarakhanids took Bukhara in 999.
Wandering years, 999–1015
Without the Samanids, Ibn Sina needed new patrons. For the rest of his life he moved among the small dynasties of Central Asia and Iran, serving as physician, counsellor and resident philosopher. Al-Juzjani says “necessity” drove him from one court to the next.
Gurganj
He went first to Gurganj, the capital of Khwarazm, under the Maʾmunid ruler Abu’l-Hasan ʿAli. The Maʾmunid court also patronized the astronomer Abu Rayhan al-Biruni. The two men exchanged a famous set of questions and answers. Al-Biruni asked eighteen questions on physics and cosmology, ten of them aimed at Aristotle’s On the Heavens. Ibn Sina answered for the Aristotelians, and al-Biruni replied in turn. The exchange shows that the questions treated in Lessons 04 to 08 were alive in the eastern courts.
Jurjan and Rayy
As the power of the Ghaznavid ruler Mahmud pressed on Khwarazm, Ibn Sina left. He hoped for the patronage of Qabus, the scholarly emir of Jurjan near the Caspian, but Qabus had been deposed and died. At Jurjan in 1012–13 he met Abu ʿUbayd al-Juzjani, who stayed with him until his death. There he began the Canon of Medicine. Around 1014 he served Majd al-Dawla and his mother Sayyida at Rayy, near modern Tehran, then moved on to Qazvin and Hamadan.
DiscussionAl-Biruni challenged Aristotle’s claims that celestial motion must be circular and that a vacuum is impossible, and Ibn Sina defended both. Which side does modern physics favour on each? Why might arguments from first principles have seemed more secure to Ibn Sina than al-Biruni’s appeals to observation?
Vizier and prisoner in Hamadan, c. 1015–1023
At Hamadan Ibn Sina treated the Buyid emir Shams al-Dawla and became his court physician, then his vizier. The army mutinied against him, demanded his execution and plundered his house; he hid, was recalled when the emir fell ill again, and served a second term as vizier.
Writing by night
Al-Juzjani describes the working routine. By day Ibn Sina served the state. At night students gathered at his house to read the Shifaʾ and the Canon as they were written, with wine and music when the reading was done. Al-Juzjani had asked him to write commentaries on Aristotle; Ibn Sina declined and instead wrote a summa that would cover all of philosophy in his own order. That became the Shifaʾ.
Hiding and prison
Shams al-Dawla died in 1021. His son wanted to keep Ibn Sina as vizier, but Ibn Sina secretly corresponded with ʿAlaʾ al-Dawla, ruler of Isfahan. He hid in the house of a druggist, Abu Ghalib al-ʿAttar, and there, al-Juzjani says, wrote out the headings of the whole Shifaʾ and then filled them in rapidly without consulting books, completing most of the natural philosophy and metaphysics. When his correspondence was discovered, he was imprisoned for about four months in the fortress of Fardajan near Hamadan. According to al-Juzjani he kept writing in prison; one work from this period is the allegory Hayy ibn Yaqzan (Alive, son of Awake). He later escaped to Isfahan disguised as a Sufi, with his brother, al-Juzjani and two slaves.
DiscussionThe Shifaʾ runs to about twenty volumes in modern editions. Al-Juzjani says much of the natural philosophy was written in hiding, without books. What does this tell us about how Ibn Sina knew the Aristotelian corpus, and how should it affect the way we read his departures from Aristotle?
Nature, motion and time
For the general reader. For Aristotle and his followers, physics was the study of things that change. Motion meant any gradual change: moving from place to place, growing, heating up. Ibn Sina kept this framework but tightened it, asking what exactly exists at an instant while a body is moving, and adding a new kind of motion to explain spinning bodies.
- Learn the place of physics in the Shifaʾ.
- Understand Ibn Sina’s two senses of motion.
- See his definition of time and its link to uniform motion.
The plan of the Shifaʾ
The Shifaʾ has four parts: logic, natural philosophy, mathematics (geometry, arithmetic, music, astronomy) and metaphysics. The natural philosophy opens with the Physics (al-Samaʿ al-tabiʿi), which studies body insofar as it is subject to motion, and continues with books on the heavens, generation and corruption, actions and passions, meteorology, minerals, the soul, plants and animals. Natural science takes its principles, such as the existence of nature and of motion, from metaphysics or from experience, and does not prove them.
What motion is
Motion is the first perfection (actuality) of what is in potency insofar as it is in potency.
A body that can be in another place is, while moving, partly realized: it is actually on its way. Ibn Sina then distinguished two things the word can mean.
- Traversal motion (al-haraka al-qatʿiyya): the whole extended passage from start to finish. It never exists all at once, so it exists only in the mind, which joins the earlier and later positions.
- Medial motion (al-haraka al-tawassutiyya): the state of being between start and finish, which exists in the body at each instant of the motion.
The distinction answers an old puzzle: at an instant a body occupies one place, so where is the motion? Ibn Sina’s answer is that something real, being-in-transit, is present at the instant, though the extended path is not. A modern physicist would say the instantaneous velocity is a real property of the state.
Aristotle allowed motion in three categories: quantity, quality and place. Ibn Sina added a fourth, motion in position (wadʿ), for a sphere that rotates without changing its place as a whole. This made the rotation of the celestial spheres a motion in its own right.
Time
Time is the measure (number) of motion with respect to before and after.
Ibn Sina argued for the reality of time from a capacity. Two bodies starting together at the same speed may stop together or at different moments; in the second case they cover different distances. There is thus a magnitude, the “possibility” for motion of a given speed to cover a given distance, that is neither the distance nor the motion. That magnitude is time. In modern terms, \(t=d/v\) for uniform motion, and the existence of the ratio is the argument.
Exercise 4.1Two bodies start together, one at speed \(v\) and one at \(2v\). Ibn Sina’s argument says the slower one, stopping when the faster has gone distance \(D\), has gone \(D/2\). Show how the argument separates time from distance and from speed.
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Exercise 4.2A wheel spins on a fixed axle. Explain why Aristotle’s three categories of motion do not cover this case and how Ibn Sina’s positional motion does.
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Inclination: the theory of mayl
For the general reader. Why does a stone keep moving after it leaves your hand? Aristotle thought the air pushed it. Ibn Sina rejected this and said the thrower gives the stone an internal quality, an inclination, that carries it on until the air and the stone’s weight wear it away. In empty space nothing would wear it away and the stone would never stop. This is a step toward the idea of inertia, though Ibn Sina drew the opposite conclusion: since endless motion is impossible, empty space is impossible.
- Define natural and violent inclination.
- Reconstruct Ibn Sina’s arguments against the air theories.
- Model the theory mathematically and compare it with Newtonian mechanics.
The problem of projectiles
In Aristotle’s physics every motion that is not natural needs a mover in contact with the moved. A heavy stone moves naturally downward. When thrown upward or sideways its motion is violent, and after release there seems to be no mover. Aristotle answered that the hand also moves the air, and the air carries the stone. The Alexandrian John Philoponus (6th century) objected and proposed that the thrower impresses an incorporeal power on the stone, which spends itself and fades.
Ibn Sina’s account in the Physics
Mayl (inclination) is a quality in a body by which it resists whatever prevents its motion in a certain direction. It is natural when it arises from the body’s nature (heaviness is the downward mayl of earth and water, lightness the upward mayl of fire and air), violent (qasri) when it is imparted from outside, and psychic when it comes from a soul.
Ibn Sina considered the two air theories. On the first, the air in front of the stone circles round and pushes it from behind; he found it unclear how this could work. On the second, the air set moving by the hand pushes the stone; he admitted that wind moves heavy things but found it implausible that air could carry a stone over a long throw. He concluded that the thrower imparts a violent mayl to the stone. The mayl is a quality distinct from the stone’s nature and is not used up by itself. It weakens only through the resistance of the medium and the opposing natural inclination of the body.
If a body moved by violent mayl were in a void, nothing would weaken its mayl, and it would move without ceasing. Endless motion of this kind is impossible. Therefore there is no void.
A modern model
The texts are qualitative. To compare them with Newton, let \(m\) be the mayl imparted horizontally, \(k\) a resistance coefficient of the medium, and suppose with Ibn Sina that the speed is proportional to the mayl. Then one simple model is
\[ \frac{dm}{dt}=-k\,m \quad\Longrightarrow\quad m(t)=m_0e^{-kt},\qquad v(t)=c\,m_0e^{-kt}. \]For \(k>0\) the motion fades; for \(k=0\) (void) it continues with constant speed forever. Newton’s first law gives the same conclusion for \(k=0\), and linear drag gives the same exponential law for \(k>0\). The differences lie elsewhere. Ibn Sina’s mayl is a cause that the motion requires at every moment, while Newtonian momentum is a state that needs no cause to persist. And Ibn Sina used the void case to refute void, not to describe nature.
After Ibn Sina
In the twelfth century Abu’l-Barakat al-Baghdadi held that the violent mayl weakens of itself, as Philoponus had, and explained the acceleration of falling bodies by successive increments of mayl. In fourteenth-century Paris, John Buridan named the imparted quality impetus, held that it does not decay of itself, and made it grow with the speed and the quantity of matter of the body. How directly Buridan drew on Ibn Sina is debated; Aydın Sayılı compared the two theories closely.
Exercise 5.1In the model above, find the total distance a stone travels horizontally if \(v(0)=v_0\) and the mayl decays at rate \(k\). What happens as \(k\to0\)?
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Exercise 5.2Philoponus’s impressed power decays of itself. Model this by \(dm/dt=-k m-\lambda\) with \(\lambda>0\). Show that in a void (\(k=0\)) the motion now stops after a finite time, and find it.
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Exercise 5.3Ibn Sina reports that a thrown body moves fastest not at the moment of release but some way into its flight. Can the model \(dm/dt=-km\) reproduce this? Suggest a modification that does, and say whether the observation is correct by modern standards.
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Void, the continuum and atoms
For the general reader. Is matter made of smallest pieces, or can it be divided forever? Is there empty space between things? Muslim theologians of the kalam held that bodies are made of indivisible atoms. Ibn Sina argued that matter is continuous and that there is no void, using some of the same geometric arguments that later philosophers would repeat.
- Reconstruct the geometric argument against atoms.
- Understand Ibn Sina’s definition of place and his rejection of void.
- Distinguish potential from actual divisibility and see his natural minima.
Place
The place of a body is the inner surface of the body that contains it.
Some philosophers held that place is a three-dimensional extension, a space that bodies occupy and that could exist empty. Ibn Sina argued that such an empty extension would have to be something with a definite nature, but no positive description of it can be given. Measurable extension is a feature of bodies, so a measurable void would be a body. In addition he used the mayl argument of Lesson 05.
Against atoms
Kalam atomists held that bodies consist of finitely many indivisible parts. Ibn Sina gave physical and geometric objections. One concerns the diagonal.
Suppose a square is built of atoms, \(n\) along each side. Each row parallel to the diagonal contains a definite number of atoms, so the diagonal should contain exactly \(n\) atoms and be equal to the side. But by the Pythagorean theorem the diagonal of a square of side \(n\) is \(n\sqrt2\). So atomism contradicts geometry.
Ibn Sina’s own example uses a right isosceles triangle with legs of three units, so the hypotenuse is \(\sqrt{18}\approx4.24\) units, which no whole count of atoms can match. The atomist must either deny the Pythagorean theorem or admit that atoms can be divided.
Potential division and natural minima
A continuous body has no actual parts, Ibn Sina said; parts exist only when we posit them, by cutting or by imagining. Division can go on without end, but it never completes an actual infinity. Yet he also held that a physical body cannot be divided indefinitely and keep its nature. A tiny drop of water in hot air cannot keep its form and becomes air. These natural minima are limits of physical substances, not of geometry.
Exercise 6.1On a grid of atoms, a path along the diagonal of an \(n\times n\) square can be counted as \(n\) steps (diagonal moves) or \(2n\) steps (staircase). Compare both with the Euclidean length and explain why neither rescues atomism.
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Exercise 6.2Aristotle’s rule of motion in a medium is often written \(v\propto W/R\), with \(W\) the motive power (weight) and \(R\) the resistance. Show how this rule implies that motion in a void would be instantaneous. What happens instead in the mayl model of Lesson 05?
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Exercise 6.3Show that \(\sqrt{18}\) is irrational, and hence that no choice of a common unit makes the legs and the hypotenuse of Ibn Sina’s triangle whole multiples of it.
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Mechanics: weights, speeds, machines
For the general reader. In the medieval scheme of knowledge, the science of weights and machines belonged to mathematics, not to physics. Ibn Sina wrote on both sides: in the physics of the Shifaʾ he discussed how heavy bodies fall and how inclination grows near a body’s natural place; in a treatise on machines attributed to him he analysed the lever, pulley, windlass, wedge and screw.
- Understand natural mayl in falling bodies.
- Derive the law of the lever and the mechanical advantage of simple machines.
- See how these machines combine.
Falling bodies
Natural mayl is the heaviness of a body, which is strongest when the body is out of its natural place and pushes it back. Ibn Sina held, following Aristotle, that a larger heavy body has more mayl and that natural motion speeds up as the body approaches its natural place. He did not give a quantitative law. The successors who took the idea further, Abu’l-Barakat al-Baghdadi and later the Parisian impetus theorists, explained acceleration as the accumulation of increments of mayl or impetus, which is close in spirit to \(\Delta v=g\,\Delta t\).
The simple machines
The Greek tradition of Heron of Alexandria recognized five simple machines: windlass, lever, pulley, wedge and screw. A treatise on machines, Miʿyar al-ʿuqul (The measure of the intellects), written in Persian and attributed to Ibn Sina, describes these machines, their combinations, and how each lets a small force move a large weight. Its authenticity has been questioned, so we treat its content as Avicennian tradition.
Weights \(W_1,W_2\) at distances \(d_1,d_2\) on either side of a fulcrum balance if and only if \(W_1d_1=W_2d_2\).
Every simple machine obeys the same principle in modern form: in an ideal machine the work put in equals the work got out. If the effort \(F\) moves through distance \(s_F\) while the load \(W\) rises through \(s_W\), then
\[ F\,s_F = W\,s_W, \qquad \text{mechanical advantage } \frac{W}{F}=\frac{s_F}{s_W}. \]- Windlass: handle radius \(R\), axle radius \(r\): \(W/F=R/r\).
- Pulley system with \(n\) strands supporting the movable block: \(W/F=n\).
- Wedge of length \(L\) and back \(t\): \(W/F=L/t\) ignoring friction.
- Screw of pitch \(p\) turned by a lever of radius \(R\): \(W/F=2\pi R/p\).
Exercise 7.1A windlass has a handle of radius 60 cm and an axle of radius 10 cm. It drives a pulley block with 4 supporting strands. What weight can a force of 200 N raise, ignoring friction?
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Exercise 7.2Prove the law of the lever from the work principle for small rotations.
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Exercise 7.3A screw press has pitch 5 mm and a lever of radius 0.5 m. Ideal advantage? If friction wastes 70% of the input work, what force on the lever produces a pressing force of 10 kN?
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Light and vision
For the general reader. Do we see because something goes out from the eye, or because something comes in? Many Greek mathematicians thought the eye sends out rays. Ibn Sina argued at length that nothing leaves the eye: the illuminated transparent air carries the visible form of the object to the eye, which receives it as a mirror receives an image. He reached this conclusion independently of his contemporary Ibn al-Haytham, whose experimental optics went much further.
- Know the three ancient theories of vision and Ibn Sina’s objections.
- Use the visual angle to relate size and distance.
- See what Ibn Sina said about light’s speed and the rainbow, and where he was wrong.
Three theories
- Extramission (Euclid, Ptolemy): rays go out from the eye in a cone and touch the object.
- Emanation of copies (the atomists): thin films peel off the object and enter the eye.
- Aristotle’s medium theory: light makes a transparent medium actually transparent, and the object’s colour then alters the medium all the way to the eye.
Ibn Sina, in the psychology of the Shifaʾ and in shorter works, sided with Aristotle. Against extramission he argued that a ray leaving the eye would have to be a body, and a body large enough to fill half the visible sky would have to come out of a small eye at once. If the ray were not a body, it could not carry anything back. He used a geometric diagram of the arcs an object subtends at the eye at different distances to explain why far things look small, without any outgoing rays. The eye, he said, is like a mirror: the object is reflected in it, and if a mirror had a soul it would see.
An object of size \(s\) seen squarely at distance \(d\) subtends at the eye the angle \(\alpha=2\arctan\big(s/(2d)\big)\approx s/d\) for \(s\ll d\). Apparent size is judged by \(\alpha\) together with an estimate of \(d\).
Light, speed and the rainbow
Ibn Sina held that if seeing depends on something travelling from the luminous source, that travel must take time, so the speed of light would be finite. He also distinguished images that stay fixed on a surface, such as green light from a lawn falling on a wall, from images that move with the observer, as in a mirror. His account of the rainbow in the Meteorology placed the bow in a thin mist rather than in the dark cloud and treated its colours as arising in the eye; he admitted he was not satisfied with it, and it does not use refraction in drops. The correct explanation came from Kamal al-Din al-Farisi and Theodoric of Freiberg around 1300 and was completed by Descartes.
Relation to Ibn al-Haytham
Ibn al-Haytham, working in Cairo in the same decades, also rejected extramission, and combined intromission with a geometry of rays from each point of the object, tested by experiment. David Lindberg found no convincing evidence that either man read the other; their agreements come from shared sources.
Exercise 8.1The Moon has diameter 3474 km and mean distance 384 400 km. Find its visual angle. Then explain Ibn Sina’s point that the extramission theory requires the eye to “fill” a whole hemisphere of sky at once.
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Exercise 8.2A man 1.8 m tall stands 10 m away; a tower 36 m tall is 200 m away. Compare their visual angles, and explain why visual angle alone cannot tell the eye which is larger.
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Exercise 8.3The primary rainbow is seen at about \(42^\circ\) from the antisolar point. Using Snell’s law with \(n=4/3\), check that the deflection of a ray entering a spherical drop, reflecting once inside and leaving, is stationary near this angle. Why could Ibn Sina’s mist theory not produce a fixed angle?
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Logic: the instrument of science
For the general reader. Logic, for Ibn Sina, is the tool that keeps reasoning from error. He rebuilt Aristotle’s logic so thoroughly that later logicians in the Islamic world taught his system instead of Aristotle’s. He noticed that ordinary statements hide conditions of time (“every moving thing changes” is true only while it moves), and he built a logic of such conditions.
- Distinguish conception from assent.
- Read propositions in the essential and descriptional senses.
- Use connective and repetitive syllogisms, and see how experience supplies principles.
Conception and assent
All knowledge, Ibn Sina said, is either tasawwur (conception: grasping what a thing is, reached by definition) or tasdiq (assent: judging that something is true, reached by syllogism). Logic has two branches accordingly. Its subject matter is the secondary intelligibles: concepts such as genus, species, proposition and syllogism, which apply to other concepts rather than directly to things.
Two readings of a proposition
Let “Every \(J\) is \(B\)”. On the essential (dhati) reading, everything that is ever \(J\) is \(B\) as long as it exists. On the descriptional (wasfi) reading, everything that is ever \(J\) is \(B\) as long as it is \(J\).
“Every moving thing changes” is true on the descriptional reading and false on the essential one, since a moving thing need not change when it stops. Ibn Sina also replaced Aristotle’s plain assertoric proposition with the absolute (mutlaqa) proposition, read as “at some time”: “every \(J\) is \(B\) at least once”. Its contradictory is then not another absolute proposition but a perpetual one: “some \(J\) is never \(B\)”.
Syllogisms
- Connective (iqtirani) syllogisms link premises through a shared term, as in Barbara: every \(B\) is \(A\), every \(C\) is \(B\), so every \(C\) is \(A\). Ibn Sina extended them to conditional premises: always if \(p\) then \(q\); always if \(q\) then \(r\); so always if \(p\) then \(r\).
- Repetitive (istithnaʾi) syllogisms repeat one part of a conditional or disjunctive premise: if \(p\) then \(q\); but \(p\); so \(q\) (modus ponens), or \(p\) or \(q\); but not \(p\); so \(q\).
He distinguished three disjunctions: real (exactly one holds), one that forbids both being true, and one that forbids both being false.
Experience as a source of principles
In the Burhan (Demonstration) of the Shifaʾ, Ibn Sina asked how the premises of a science are known. Induction from cases cannot give certainty, because unobserved cases may differ. Experience (tajriba) can, when it is controlled: we observe repeatedly that scammony purges bile, and add the implicit syllogism that a regular effect cannot come about by chance, so scammony has a power to purge bile. The conclusion holds with a qualification: scammony purges bile in our lands and in normal conditions, until a contrary instance shows a hidden factor.
Exercise 9.1Decide on which reading each premise is true and whether the syllogism is sound: every sleeping person is unconscious; every man is sometimes sleeping; therefore every man is unconscious.
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Exercise 9.2Give truth tables for Ibn Sina’s three disjunctions and identify each with a modern connective.
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Exercise 9.3Write the contradictory of “Always, if it is day then the sun is up”, following Ibn Sina’s rule that quantity attaches to the conditional relation. Why is “Always, if it is day then the sun is not up” wrong as a contradictory?
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Medicine as a science
For the general reader. The Canon of Medicine organized the whole of Greek and Arabic medicine into one system: general theory, drugs, diseases from head to foot, whole-body diseases and compound remedies. Ibn Sina treated medicine as a science with principles taken from natural philosophy, and he set out rules for testing whether a drug really works that read today like rules for controlled experiments.
- Know the structure of the Canon and its Aristotelian framework.
- State the seven rules for testing drugs.
- Connect them with modern experimental design.
The structure of the Canon
- General principles: elements, temperaments, humours, anatomy, physiology, causes and signs of disease, general therapy.
- About 800 simple drugs, arranged alphabetically.
- Diseases of particular organs, from head to foot.
- Diseases not specific to one organ, such as fevers and poisons.
- A formulary of about 650 compound drugs.
Book I opens by defining medicine as the science of the states of the human body with respect to health and its loss, so as to preserve the one and restore the other. Its principles come from natural philosophy, as the principles of every subordinate science come from a higher one. The causes of health and disease are arranged under Aristotle’s four causes: the material (the body and its humours), the efficient (air, food, sleep, emotions and other agents), the formal (the temperament or constitution), and the final (the functions).
Rules for testing a drug
- The drug must be free of acquired qualities, such as heat from fire or contamination.
- It must be tested on a simple disease, not one composed of several.
- It must be tested on two contrary diseases, to see whether it acts by its essence or by accident.
- Its strength must match the strength of the disease; begin with the weakest dose and increase.
- The time of action must be observed, so that essential effects are separated from accidental ones.
- The effect must be seen always or in most cases; otherwise it is accidental.
- The test must be on the human body, since a drug may act differently in animals.
The rules are the logic of tajriba (Lesson 09) applied to drugs. Rules 1 and 2 control confounding variables; rule 4 is a dose–response study; rule 6 asks for reproducibility; rule 7 warns against extrapolating from animal models. What is missing is a comparison group and randomization, which entered medicine much later.
Contagion
The Canon recognizes the contagious nature of phthisis (tuberculosis), a point George Sarton singled out for praise. Ibn Sina explained contagion within the humoral framework, without a theory of germs.
Exercise 10.1A disease resolves on its own in half of patients within a week. A physician gives a drug to 6 patients and all recover within a week. How likely is this outcome if the drug does nothing? Which of Ibn Sina’s rules addresses the problem, and what would a modern trial add?
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Exercise 10.2A herbal drug is tested on a patient with a fever who also has an infection of the bowel; the fever falls. Which of the seven rules is violated, and why does it matter?
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Exercise 10.3Rule 3 asks for testing on contrary diseases. Explain its logic with a modern example of a drug whose effect is accidental to the condition it seemed to treat.
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Isfahan and the last years
At Isfahan the Kakuyid ruler ʿAlaʾ al-Dawla gave Ibn Sina a position at court and the company of scholars. Peter Adamson calls these final years, about thirteen of them, the most stable period of his life. He finished the Shifaʾ, wrote its abridgement the Najat (The Salvation), the Persian Danishnama-yi ʿAlaʾi (Book of Knowledge for ʿAlaʾ al-Dawla), and his last summa, al-Isharat wa’l-tanbihat (Pointers and Reminders).
He also did astronomy. ʿAlaʾ al-Dawla asked him to make observations and correct the tables; al-Juzjani says he did so and devised instruments. One, described in a short treatise, measured the altitude and azimuth of a star with sighted legs over a protractor. He wrote a summary of the Almagest. He reported seeing Venus as a spot on the face of the Sun, which, if true, would place Venus below the Sun; without a date the report cannot be checked, and modern scholars doubt it. In mineralogy he rejected the alchemists’ claim to transmute one metal into another, and he explained mountains by uplift and by slow erosion of rock layers of unequal hardness.
In 1030 the Ghaznavid army sacked Isfahan, and his book al-Insaf (Fair Judgment), which judged between Eastern and Western Aristotelians, was lost. In 1037, travelling with ʿAlaʾ al-Dawla toward Hamadan, he suffered a severe attack of colic. Al-Juzjani says he treated himself too aggressively, grew weak, and in the end gave up treatment. He died at Hamadan in June 1037 and was buried there. The present mausoleum in Hamadan was built in the twentieth century.
DiscussionAl-Juzjani’s account of the final illness says Ibn Sina was reckless with his health. How far should a disciple’s narrative be trusted on such matters, and what does it show about how the autobiography and its continuation were meant to be read?
Avicenna in two worlds
In the Islamic world
Ibn Sina’s system replaced Aristotle as the starting point of philosophy in Arabic and Persian. His pupils included al-Juzjani, Bahmanyar and Ibn Zayla. Al-Ghazali attacked his metaphysics in The Incoherence of the Philosophers (1095); Fakhr al-Din al-Razi wrote a critical commentary on the Isharat, and Nasir al-Din al-Tusi answered it in a commentary of his own. Ibn Rushd (Averroes) in Cordoba criticized him for straying from Aristotle. Omar Khayyam called him his master and translated one of his sermons into Persian. Abu’l-Barakat al-Baghdadi reworked his theory of mayl. In logic, his propositions and syllogisms remained the core of teaching in madrasas into modern times.
In Latin Europe
- Philosophy. At Toledo in the twelfth century, Avendauth and Dominicus Gundissalinus translated the psychology and other parts of the Shifaʾ; the physics appeared as the Sufficientia. His psychology and metaphysics shaped Albertus Magnus and Thomas Aquinas.
- Medicine. Gerard of Cremona translated the Canon in the twelfth century. It became a standard text in medical faculties from the thirteenth century; there were printed Latin editions from 1472–73 and more than a dozen in the sixteenth century, and it was still read at Padua in the early eighteenth century.
- Physics. The Latin Sufficientia carried the theory of an imparted, self-preserving inclination to readers in the Latin West, where the Paris masters of the fourteenth century developed impetus theory.
Dante placed Avicenna in Limbo, between Hippocrates and Galen. A lunar crater bears his name, and UNESCO’s Avicenna Prize for Ethics in Science has been awarded since 2003.
Final projectWrite a two-page comparison of three theories of projectile motion: Aristotle’s air theory, Ibn Sina’s violent mayl, and Newton’s first law. For each, say what keeps the projectile moving, what stops it, and what would happen in a vacuum. Use the model of Lesson 05 to make the comparison quantitative, and close with an assessment of the claim that Ibn Sina anticipated inertia.
Connections
People linked to Ibn Sina across this collection. A name without a link has no page here yet. See Ibn Sina in the network of all 337 lives →
Teachers and advisors
- Abu 'Abd Allah al-Natili
Students
- Abu 'Ubayd al-Juzjani 1012-1037
- Bahmanyar ibn Marzuban
- Ibn Zayla
Influenced by
- Aristotle
- Claudius Ptolemy
- Euclid
- John Philoponus
- al-Farabi
- Galen
Influenced
- Jean Buridan
- Nasir al-Din al-Tusi
- Omar Khayyam
- Abu'l-Barakat al-Baghdadi
- al-Ghazali
- Fakhr al-Din al-Razi
- Ibn Rushd (Averroes)
- Thomas Aquinas
Colleagues and collaborators
Rivals
Also mentioned in this life
Fields
- natural philosophy 12 lives
- medicine 8 lives
- logic 8 lives
- optics 38 lives
- mechanics 27 lives
- astronomy 50 lives
On CoursesHub
Sources and further reading
Biography
- W. E. Gohlman, The Life of Ibn Sina: A Critical Edition and Annotated Translation, SUNY Press, 1974 (the autobiography and al-Juzjani’s continuation).
- D. Gutas, Ibn Sina [Avicenna], Stanford Encyclopedia of Philosophy.
- D. Gutas, Avicenna and the Aristotelian Tradition, 2nd ed., Brill, 2014.
- J. J. O’Connor and E. F. Robertson, Abu Ali al-Husain ibn Abdallah ibn Sina (Avicenna), MacTutor.
- Avicenna, Wikipedia.
- J. McGinnis, Avicenna, Oxford University Press, 2010.
Natural philosophy, logic and medicine
- Avicenna, The Physics of The Healing, ed. and trans. J. McGinnis, 2 vols., Brigham Young University Press, 2009.
- J. McGinnis, Arabic and Islamic Natural Philosophy and Natural Science and related entries, Stanford Encyclopedia of Philosophy.
- N. M. Şahin, Violent motion and mayl in Ibn Sina, Nazariyat 12, no. 1.
- A. Sayılı, Ibn Sina and Buridan on the motion of the projectile, Annals of the New York Academy of Sciences 500 (1987).
- Theory of impetus, Wikipedia.
- D. C. Lindberg, Theories of Vision from al-Kindi to Kepler, University of Chicago Press, 1976.
- R. Strobino, Ibn Sina’s Logic, Stanford Encyclopedia of Philosophy.
- Avicennian logic (overview), Wikipedia.
- The Canon of Medicine, Wikipedia.
- N. G. Siraisi, Avicenna in Renaissance Italy: The Canon and Medical Teaching in Italian Universities after 1500, Princeton University Press, 1987.