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Predicable

Predicable is a science topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Predicable rather than just read about it. In short: In scholastic logic, predicable is a term applied to a classification of the possible relations in which a predicate may stand to its subject. It is not to be confused with 'praedicamenta', the scholastics' term for Aristotle's ten categories.

Key takeaways

  • Predicable belongs to science; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect Predicable to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Predicable from memory before moving on to harder problems.

Reference excerpt

In scholastic logic, predicable is a term applied to a classification of the possible relations in which a predicate may stand to its subject. It is not to be confused with 'praedicamenta', the scholastics' term for Aristotle's ten categories.

Overview The list given by the scholastics and generally adopted by modern logicians is based on development of the original fourfold classification given by Aristotle (Topics I.4, 101b17–25): definition (horos), genus (genos), property (idioma), and accident (symbebekos). The scholastic classification, obtained from Boethius's Latin version of Porphyry's Isagoge, modified Aristotle's by substituting species (eidos) and difference (diaphora) for definition. Both classifications are of universals, concepts or general terms, proper names of course being excluded. There is, however, a radical difference between the two systems. The standpoint of the Aristotelian classification is the predication of one universal concerning another. The Porphyrian, by introducing species, deals with the predication of universals concerning individuals (for species is necessarily predicated of the individual), and thus created difficulties from which the Aristotelian is free (see below). The Aristotelian treatment considered:

The definition of anything is the statement of its essence (Arist. τὸ τί ἦν εἶναι), i.e., that which makes it what it is: e.g., a triangle is a three-sided rectilinear figure. Genus is that part of the essence which is also predicable of other things different from them in kind. A triangle is a rectilinear figure; i.e., in fixing the genus of a thing, we subsume it under a higher universal, of which it is a species. A property is an attribute which is common to all the members of a class, but is not part of its essence (i.e., need not be given in its definition). The fact that the interior angles of all triangles are equal to two right angles is not part of the definition but is universally true. An accident is an attribute that may or may not belong to a subject. A triangle may have "accidentally" one right angle but this not a mandatory feature for it. Differentia is that part of the essence that distinguishes one species from another. As compared with quadrilaterals, hexagons, and so on, all of which are rectilinear figures, a triangle is differentiated as having three sides. Ignoring differences, species are seen as a genus, e.g. triangles are a species of polygons. This classification, though it is of high value in the clearing up of our conceptions of the essential contrasted with the accidental, the relation of the genus, differentia and definition and so forth, is of more significance in connection with abstract sciences, especially mathematics, than for the physical sciences. It is superior on the whole to the Porphyrian scheme, which has grave defects. As has been said, the Porphyrian scheme classifies universals as predicates of individuals and thus involves the difficulties which gave rise to the controversy between realism and nominalism. How are we to distinguish species from the genus? Napoleon was a Frenchman, a man, an animal. In the second place, how do we distinguish property and accident? Many so-called accidents are predicable necessarily of any particular persons. This difficulty gave rise to the distinction of separable and inseparable accidents, which is one of considerable difficulty. Some Aristotelian examples may be briefly mentioned. In the true statement “Man is a rational animal,” the predicate is convertible with the subject and states its essence; therefore, “rational animal” is the definition of a man. The statements “Man is an animal” and “Man is rational,” while true, are not convertible; their predicate terms, however, are parts of the definition and hence are the genus and differentia of man. On the other hand, the statement “Man is capable of learning grammar” is true and convertible; but “capable of learning grammar” does not state the essence of man and is, therefore, a property of man. The true statement “Man is featherless” offers an example of an accident. Its predicate is not convertible with its subject, nor is it part of the definition; accordingly, it expresses only an accidental characteristic of man.

Notes

References

This article incorporates text from a publication now in the public domain: Chisholm, Hugh, ed. (1911). "Predicables". Encyclopædia Britannica (11th ed.). Cambridge University Press.

Worked examples

Example 1 — a first encounter with Predicable

Start with the simplest possible case. Write down what Predicable claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In science, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Predicable before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Predicable ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Predicable

In research
Predicable appears in science research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses Predicable in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
Predicable is common in secondary-school and first-year university syllabi. It links to neighbouring topics Concepts in logic, Term logic, so understanding it makes those chapters shorter.
In everyday life
Look for Predicable outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.

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How to study Predicable in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Predicable means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Predicable out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Predicable in simple terms?

In scholastic logic, predicable is a term applied to a classification of the possible relations in which a predicate may stand to its subject. It is not to be confused with 'praedicamenta', the scholastics' term for Aristotle's ten categories.

Why does Predicable matter?

Because it connects several science ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Predicable?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Predicable.

Tags

  • Concepts in logic
  • Term logic

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