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Pragmatic mapping

Pragmatic mapping is a computer 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 Pragmatic mapping rather than just read about it. In short: Pragmatic mapping — a term in current use in linguistics, computing, cognitive psychology, and related fields — is the process by which a given abstract predicate (a symbol) comes to be associated through action (a dynamic index) with some particular logical object (an icon). The logical object may be a thing, person, relation, event, situation, or a string of these at any conceivable level of complexity.

Key takeaways

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

Reference excerpt

Pragmatic mapping — a term in current use in linguistics, computing, cognitive psychology, and related fields — is the process by which a given abstract predicate (a symbol) comes to be associated through action (a dynamic index) with some particular logical object (an icon). The logical object may be a thing, person, relation, event, situation, or a string of these at any conceivable level of complexity. A relatively simple example is the conventional — successful, appropriate, and mundanely “true” — linking of a proper name to the person of whom it is a conventional designation. There are three parts to this process when it succeeds. There is the abstract symbol which is used to represent something else (the name or the entire signifying predication, for instance); there is the something else that is represented by that symbol (whatever is signified); and there is the act of using the symbol in a conventional way to represent whatever it usually represents (the act of signifying). Pragmatic mapping is the process by which any material argument, or any imagined one, comes to be associated with a predicate that purports to be and succeeds in being about it. That is the predicate must be appropriate ("true" in the most mundane sense relative) to its logical object. The predication may be as simple as a naming act or as complex as a representation consisting of many distinct propositions with many associated clauses. For instance, if we say "Jesse James was an American outlaw" the name "Jesse James" purports to be about a certain historical person whom we may know to have been shot by another individual named Robert Ford. We may know that a movie featuring Brad Pitt as Jesse James was released in September 2007 in select theaters across America. If the pragmatic mapping of the name "Jesse James" is complete, i.e., if it succeeds, it is mapped onto that certain individual that was actually shot by Robert Ford. Nothing of importance changes in the pragmatic mapping process if it turns out that Jesse James and Robert Ford are figments of someone’s imagination, excepting, of course, the truth value of the propositions that include the logical object of the name, Jesse James. In ordinary conversation and human communication in general, it has been demonstrated logically and mathematically that meaning is utterly dependent on the true and appropriate pragmatic mapping of symbols to their conventional logical objects. Infants depend on exemplification of such mapping relations to acquire languages and all meaningful linguistic representations have been proved to depend on such mappings.

See also Wörter und Sachen

References Frege, G. (1967). Begriffsschrift, a formula language modeled upon that of arithmetic for pure thought. In J. van Heijenoort (Ed. and Trans.), Frege and Gödel: Two fundamental texts in mathematical logic (pp. 5–82). Harvard University Press, Cambridge, Massachusetts. (Original work published 1879) Krashen, S. D. 1982. Principles and Practices in Second Language Acquisition. New York: Pergamon. Oller, J. W., Jr. (1975). Pragmatic mappings. Lingua, 35, 333-344. Oller, J. W., Jr. (2005). Common ground between form and content: The pragmatic solution to the bootstrapping problem. Modern Language Journal, 89, 92-114. Oller, J. W., Jr., Oller, S. D., & Badon, L. C. (2006). Milestones: Normal speech and language development across the life span. San Diego, CA: Plural Publishing, Inc. Pearson, L. (2007). Patterns of development in Spanish L2 pragmatic acquisition: An analysis of novice learners' production of directives. The Modern Language Journal 90 (4), 473–495. Peirce, C. S. (1897). The logic of relatives. The Monist, 7, 161 – 217. Also in C. Hartshorne & P.Weiss (Eds), (1932), Collected Papers of C. S. Peirce, Volume 2 (pp. 288 – 345). Cambridge, MA: Harvard University Press. See https://www.cs.cmu.edu/afs/cs/project/jair/pub/volume20/fox03a-html/node16.html for the use of the term “pragmatic mapping” in modern computing. Tarski, A. (1949). The semantic conception of truth. In H. Feigl & W. Sellars (Eds. and Trans.), Readings in philosophical analysis (pp. 341–374). New York: Appleton. (Original work published 1944) Tarski, A. (1956). The concept of truth in formalized languages. In J. J. Woodger (Ed. and Trans.), Logic, semantics, and metamathematics (pp. 152–278). Oxford: Oxford University. (Original work published 1936)

Worked examples

Example 1 — a first encounter with Pragmatic mapping

Start with the simplest possible case. Write down what Pragmatic mapping claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In computer 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 Pragmatic mapping 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 Pragmatic mapping 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 Pragmatic mapping

In research
Pragmatic mapping appears in computer 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 Pragmatic mapping 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
Pragmatic mapping is common in secondary-school and first-year university syllabi. It links to neighbouring topics Cognitive psychology, Computational linguistics, Computational linguistics stubs, so understanding it makes those chapters shorter.
In everyday life
Look for Pragmatic mapping 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 Pragmatic mapping in 20 minutes

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

Frequently asked questions

What is Pragmatic mapping in simple terms?

Pragmatic mapping — a term in current use in linguistics, computing, cognitive psychology, and related fields — is the process by which a given abstract predicate (a symbol) comes to be associated through action (a dynamic index) with some particular logical object (an icon). The logical object may…

Why does Pragmatic mapping matter?

Because it connects several computer 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 Pragmatic mapping?

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 Pragmatic mapping.

Tags

  • Cognitive psychology
  • Computational linguistics
  • Computational linguistics stubs
  • Logic
  • Pragmatics

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