[3.3.6] Ibn Sina on Scientific Method and Demonstration

In the UML Activity Diagram below, I propose a reconstruction of the scientific “business” process based on Ibn Sina’s (Avicenna, 980-1037 AD) ideas about scientific inquiry elaborated in his works Kitāb al-Burhân, Najâh.
Here are some highlights of his ideas:

  • Sense perception with the involvement of the 5 external and internal senses (see [3.3.3]) is the starting point of the scientific process.
  • Abstraction, Induction and Methodic Experience are the activities to acquire First Principles. Syllogisms (see [3.3.5]) and actualization of the Intellect with Forms provided by First Intellect (see [3.3.3], [3.3.4]) both have their roles in these activities.
  • After First Principles are available, new knowledge can be reached with deduction, using syllogisms (see [3.3.5]).
Avicenna on scientific process
ACTIVITY/ActionDescription
Obtain perceptibles of an object with Sense Perception“the universal premises of demonstration and their principles are obtained only through sensory perception…” (McGinnis (2008), cites Avicenna)
ABSTRACTION“by acquiring the phantasmata (خيالات) of the singular terms through the intermediacy of [sensory perception] in order that the intellectual faculty freely acts on them in such a way that it leads to acquiring the universals as singular terms and combining them into a well-formed statement…
[T]he essences perceptible in existence are not in themselves intelligible, but perceptible; however, the intellect makes them so as to be intelligible, because it abstracts their true nature (حقيقتها) from the concomitants of matter…
Thus [the speculative intellect] receives these accidents, but then it extracts them, as if it is peeling away these accidents and setting them to one side, until it arrives at the account in which are common and in which there is no variation and so acquires knowledge of them and conceptualizes them.
The first thing that [the intellect] inquires into is the confused mixture in the phantasm; for it finds accidental and essential features, and among the accidents those which are necessary and those which are not. It then isolates one account after another of the numerous ones mixed together in the phantasm, following them along to the essence. (McGinnis (2008), cites Avicenna)
“this is not Avicenna’s whole story concerning abstraction and acquiring first principles; for as he says later, acquisition of the first principles also involves “a conjunction of the intellect with a light emanated upon the soul and nature from the
agent that is called the ‘Active Intellect’” (McGinnis (2008)).
INDUCTIONAvicenna accepts Aristotle’s view on Induction (see [1.3.8]) however, criticizes it: “Induction has two elements: one involves the sensible content of induction and the other the rational structure of induction, namely, the syllogism associated with induction. If induction is to provide one with the necessary and certain first principles of a science, then the necessity and certainty of the conclusion of an inductive syllogism must be due either to
induction’s sensory element or its rational element or some combination of both. On the one hand, the purported necessity and certainty of induction cannot be known solely through induction’s sensory element; for in good empirical fashion Avicenna
recognizes that necessity and certainty are not direct objects of sensation. On the other hand, if the necessity and certainty are due to induction’s rational component, then the syllogism associated with induction should not be question begging. Yet,
complains Avicenna, in the scientifically interesting cases one of the premises of an induction will be better known than its conclusion, and so the induction is neither informative nor capable of making clear a first principle of a science.” (McGinnis (2008)).
METHODIC EXPERIENCE“Ibn Sînâ’s theory of experimentation is by no means modern, it does move one closer to a modern scientific approach; for it emphasizes both the need to set out carefully the conditions under which experimentation or examination have taken place, as well as the tentativeness of scientific discoveries in the face of new observations…
experimentation involves in part seeking falsifying cases…the exceptions [falsifying cases] would be extremely rare, perhaps observed only once or twice. These rare exceptions might indicate that there is not a causal relation, but they might also indicate that the causal circumstances were more complex than initially supposed…
Experimentation, with its accompanying syllogism, then, occasions certainty…
although experimentation cannot provide “absolute” principles, the natural scientist can use experimentation to discover “conditional,” universal principles, which can function as first principles in a science.” (McGinnis (2003)).
Check certainty condition (true/ real, necessary) “Avicenna’s ‘certainty condition’ (يقين),… includes both being true or real (الحقّ) and necessary (الضروري)” (McGinnis (2008)).
First Priciple AcquiredIf certainty condition is fulfilled.
DEDUCTION“A demonstration according to Avicenna is ‘a syllogism constituting certainty’. In other words, it is a deduction beginning with premises that are certain or necessary that concludes that not only such and such is the case, but that such and such cannot not be the case. Thus, demonstrative knowledge involves possessing a syllogism that makes clear the necessity
or inevitableness obtaining between the subject and predicate terms of its conclusion. In addition, Avicenna divides demonstrative knowledge itself into two categories depending upon the type of demonstration employed. Thus there is the demonstration propter quid, or demonstration giving ‘the reason why’ ( برهان لِمَ ) and the demonstration quia, or demonstration giving ‘the fact that’ (برهان لأن ).” (McGinnis (2008)).

Sources

  • McGinnis,  Jon, “Avicenna’s Naturalized Epistemology and Scientific Method”, chapter from: The Unity of Science in the Arabic Tradition: Science, Logic, Epistemology and their Interactions, springer, 2008
  • McGinnis, Jon, “Scientific Methodologies in Medieval Islam”, Journal of the History of Philosophy. 41. 307-327. 10.1353/hph.2003.0033., 2003

First published: 05/09/2019

[3.3.5] Ontological Structure of Ibn Sina’s Logic

Ibn Sina (Avicenna, 980-1037 AD) was the most crucial logician in the Arabic tradition. He synthesized, re-framed and extended the problems and solutions inherited from Aristotle and the Peripatetic tradition, e.g.:

  • enriched Aristotelian term logic [3.3.9] with the systematical and detailed consideration of modality and reading (see Categorical Propositions),
  • introduced propositional logic different from the Stoic one [3.5.4] (see Hypothetical Propositions).

Here is a very high level OntoUML representation of Avicenna’s logic:

Avicenna on logic
ClassDescriptionRelations
PropositionProposition (qaḍiyya) according to Avicenna can be (1) categoricals, and (2) hypotheticals. 
Categorical
Proposition
Categorical (ḥamliyyāt) propositions are subject (mawḍūʿ)-predicate (maḥmūl) propositions expressing a relation (nisba) or judgment (ḥukm) between terms.”
E.g.: “Avicenna is man.”
“All man are mortal.”
is Proposition
Hypothetical
Proposition
Hypotheticals (šarṭiyyāt) comprise two main sub-types, depending on whether the component sentences are in connection (ittiṣāl) or in conflict (ʿinād)… The resulting propositional types are conditionals (muttaṣilāt) and disjunctions (munfaṣilāt)…”is Proposition
Conditional
Proposition
The Conditional proposition is formulating a relation of following (ittibāʿ) between and two propositions, an antecedent (muqaddam) and a consequent (tālin).
E.g.If [the sun rises], then [it is day].”
is Hypothetical Proposition
Disjunctive
Proposition
The Disjunctive Proposition expresses a conflict in terms of a disjunction of propositions (or parts, ağzāʾ).
E.g.Either [this number is even] or [<this number> is odd].”
is Hypothetical Proposition
AntecedentAntecedent is a possible role of a Categorical Proposition in a Conditional Proposition, where designates a condition.
E.g.[the sun rises]”
is shared part of Conditional proposition; is Categorical Proposition
ConsequentConsequent is a possible role of a Categorical Proposition in a Conditional Proposition, where designates a consequence of the Antecedent.
E.g.[it is day].”
is shared part of Conditional proposition; is Categorical Proposition
FollowingThe relation of following between antecedent and consequent in conditional propositions.Relates Antecedent with Consequent
ModalityModality: every categorical proposition is modalized, either implicitly or explicitly. The modality may be either temporal […], alethic […], or a combination of both.”Characterizes Categorical Proposition
Temporal
Modality
Temporal Modality can be e.g.: sometime, always, never etc.inherits from Modality
Alethic
Modality
Alethic Modality can be e.g.: necessarily, possibly, impossibly etc. inherits from Modality
Readingevery categorical proposition is subject to an additional reading, depending on whether the proposition is taken to express a relation between the predicate and what is picked out by the subject:”
(a) referential/substantial (ḏātī): “as long as what is picked out by the subject exists (mā dāma mawğūd aḏ-ḏāt) or
(b) descriptional (waṣfī): “as long as it is qualified—or ‘described’ (mā dāma mawṣūf)—by the subject. This move amounts to adding a temporal parameter that identifies”
is related to Categorical Proposition
SyllogismSillogism is an inference with two ore more premises, and having as conclusion a proposition. the terms of which are just those two terms not shared by the premises.
E.g. P1: “All man are mortal.” P2: “Avicenna is man,” C: “Avicenna is mortal.”
relates 2 or more premises and 1 conclusion;
Connective
Syllogism
Connective syllogisms are divided into two main types: (1) categorical (ḥamlī) and (2) hypothetical (šarṭī) syllogisms.” is Syllogism
Repetitive
Syllogism
“The repetitive (istiṯnāʾī) syllogistic covers inference patterns such as modus ponens and modus tollens (in their conditional and disjunctive variants)…
Repetitive syllogisms consist of (i) a hypothetical premise (conditional or disjunctive) containing the conclusion or its negation as one of its parts, and (ii) another premise which asserts or denies (and thereby “repeats”) part of the hypothetical premise.”
is Syllogism
ReductioAd
Absurdum
“A reductio [ad absurdum] is a compound syllogism (qiyās murakkab)—i.e., a concatenation of syllogisms—consisting of a connective hypothetical syllogism and of a repetitive syllogism. Both categorical and hypothetical propositions may be proved by reductio.”is Syllogism
Categorical
Syllogism
Categorical syllogisms are those whose premises and conclusions are all and only categorical propositions.”is Connective Syllogism
Hypothetical
Syllogism
“The hypothetical syllogistic investigates arguments in which at least one of the premises is a hypothetical proposition (of type (i), namely one whose parts are themselves categoricals. Purely hypothetical syllogisms are those in which the combination of the premises involve only hypotheticals (conditional-conditional; conditional-disjunction; disjunction-disjunction). Mixed hypothetical syllogisms are those in which the combination of the premises involves a hypothetical (conditional or disjunction) and a categorical.”is Connective Syllogism
MoodMoods are formalized templates of valid (productive) syllogismsCharacterizes syllogism

Sources

  • All citations from:  Strobino, Riccardo, “Ibn Sina’s Logic”The Stanford Encyclopedia of Philosophy (Fall 2018 Edition), Edward N. Zalta (ed.)

First published: 29/08/2019
Updated: 6/3/2021 added Following