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Prosleptic syllogism

Prosleptic syllogism 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 Prosleptic syllogism rather than just read about it. In short: Prosleptic syllogisms (; from Greek πρόσληψις proslepsis "taking in addition") are a class of syllogisms that use a prosleptic proposition as one of the premises. The term originated with Theophrastus.

Key takeaways

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

Reference excerpt

Prosleptic syllogisms (; from Greek πρόσληψις proslepsis "taking in addition") are a class of syllogisms that use a prosleptic proposition as one of the premises. The term originated with Theophrastus.

Figures Prosleptic syllogisms are classified in three figures, or potential arrangements of the terms according to the figure of the prosleptic proposition used.

First figure: "A is universally predicated of everything that is universally predicated of G" Second figure: "Everything predicated universally of A is predicated universally of G" Third figure: "A is universally predicated of everything of which G is universally predicated" Consequently, a third figure prosleptic syllogism would read "A is universally affirmed of everything of which G is universally affirmed; G is universally affirmed of B; therefore, A is universally affirmed of B." ("All G are A; all B are G; therefore, all B are A" or "Statement A is always true of everything for which statement G is always true; statement G is true of all things B; therefore, statement A is true of all things B.")

See also Type of syllogism (disjunctive, hypothetical, legal, poly-, prosleptic, quasi-, statistical)

Notes

References William & Martha Kneale, Prosleptic Propositions and Arguments, in M. S. Stern, Albert Hourani, Vivian Brown (eds.), Islamic Philosophy and the Classical Tradition, London: Bruno Cassireer, 1972, pp. 189-207.

Worked examples

Example 1 — a first encounter with Prosleptic syllogism

Start with the simplest possible case. Write down what Prosleptic syllogism 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 Prosleptic syllogism 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 Prosleptic syllogism 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 Prosleptic syllogism

In research
Prosleptic syllogism 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 Prosleptic syllogism 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
Prosleptic syllogism is common in secondary-school and first-year university syllabi. It links to neighbouring topics Arguments, Linguistics stubs, Syllogism, so understanding it makes those chapters shorter.
In everyday life
Look for Prosleptic syllogism 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 Prosleptic syllogism in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Prosleptic syllogism 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 Prosleptic syllogism out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Prosleptic syllogism in simple terms?

Prosleptic syllogisms (; from Greek πρόσληψις proslepsis "taking in addition") are a class of syllogisms that use a prosleptic proposition as one of the premises. The term originated with Theophrastus.

Why does Prosleptic syllogism 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 Prosleptic syllogism?

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 Prosleptic syllogism.

Tags

  • Arguments
  • Linguistics stubs
  • Syllogism
  • Term logic

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