Be it numbers or words -- the structure of our language remains the same

June 6, 2011 in Psychology & Psychiatry

It is one of the wonders of language: We cannot possibly anticipate or memorize every potential word, phrase, or sentence. Yet we have no trouble constructing and understanding myriads of novel utterances every day. How do we do it? Linguists say we naturally and unconsciously employ abstract rules—syntax.

How abstract is language? What is the nature of these abstract representations? And do the same rules travel among realms of cognition? A new study exploring these questions—by psychologists Christoph Scheepers, Catherine J. Martin, Andriy Myachykov, Kay Teevan, and Izabela Viskupova of the University of Glasgow, and Patrick Sturt of the University of Edinburgh—makes what Scheepers calls "a striking new finding": The process of storing and reusing syntax "works across cognitive domains."

More specifically: "The structure of a math equation correctly solved is preserved in memory and determines the structuring of a subsequent sentence that a person has to complete." Neuroscientists have found evidence suggesting a link between math and , "but this is the first time we've shown it in a behavioral setup."

The findings will be published in an upcoming issue of Psychological Science, a journal of the Association for Psychological Science.

The study made use of a cognitive process called structural priming. Simply put, if you use a certain kind of structure in one sentence, you're likely to use it again in a subsequent sentence. To find out how abstract—and cognitively general—this process is, the experimenters gave native English-speaking students a pencil-and-paper test containing a series of math problems paired with incomplete sentences.

Each math problem was structured in one of three ways. With "high-attachment" syntax, the final operation of the problem applied to a large "chunk" of the earlier part. For instance: 80 – (5 + 15) / 5, where the final division (/ 5) applies to the previous addition term (5 + 15). With "low-attachment" syntax—say, 80 – 5 + 15 / 5—the final operation applied to a smaller previous chunk. A third category—"baseline" problems like 80 – 5 —implied neither high nor low attachment.

After each equation, the participant was given a sentence fragment that could be completed with either high or low attachment syntax. For instance – The tourist guide mentioned the bells of the church that … A high-attachment ending would refer to the entire phrase the bells of the church and might finish with "that chime hourly." Low attachment would link only the church to the completed final clause—say, "that stands on a hill."

The subjects were variously successful in solving the problems. Their choice of high or low attachment sentence completions also revealed complexities—some perhaps related to the preference in English for low-attachment syntax.

Still, in significant numbers, high-attachment math problems primed high-attachment completions, and low-attachment problems made low-attachment completions likely.

What does all this mean? Our cognitive processes operate "at a very high level of abstraction," the authors write. And those abstractions may apply in similar fashion to all kinds of thinking—in numbers, words, or perhaps even music.

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flashgordon
Jun 06, 2011

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This is as Jacob Bronowski says in his "Origin of Knowledge and Imagination."

See my 'connections' between some 'connections' that Jamee Burke makes in his "Connections" and "The Day the Universe Changed" books/video series and Jacob Bronowski's sythesis of all human knowledge.

http://wwwscienti...cal.html
flashgordon
Jun 06, 2011

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This report also relates to ideas of George Lakoff in his "Metaphors We Live By" and other books like "Where Mathematics Comes from."
hush1
Jun 07, 2011

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Our cognitive processes operate "at a very high level of abstraction," the authors write. And those abstractions may apply in similar fashion to all kinds of thinkingin numbers, words, or perhaps even music.


Nothing new, colleagues.
When you realize that the origin of human language is sound and touch.

And how abstract is sound? Ask Fourier.
And how abstract is touch? Same thing as sound, ladies and gentlemen: Pressure flux densities. Please get out of bed earlier before publishing.
Thank you.
Ramael
Jun 07, 2011

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When you realize that the origin of human language is sound and touch.


How'd you come to that conclusion? Wouldn't all animals be able to speak then?

I thought the connection between math and language had already been understood to be true. After all, pattern recognition is apparent in both, and only species capable of pattern recognition are skilled in mathematical tasks or mimicking language. Like birds for example. Look at anything that can move to a beat,
hush1
Jun 07, 2011

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...species capable of pattern recognition...


Well, of course. I am only fairly certain of the human capacities exhibiting abilities to 'recognize' 'patterns' of sound and touch.

Wouldn't all animals be able to speak then?


lol Or are you serious here?

You are being too abstruse. If we agree that external stimuli, (for the case of humans,for example), can be processed by human sensory means and further agree that the human brain can store the incoming sensory perceptions,(by whatever means you agree to), then you have the solid basis for a theory of the origin of human language.

Then, and only then, does it makes sense to make any higher order of abstraction or 'connections' between higher abstractions such as math/language, pattern/recognition, mimic/sounds, sound/movement, skills/tasks, etc., etc.

You need a successful theory of the origin of human language before asserting the higher cognitive abilities of humans.
A foundation, in which all else follows.

Ionian
Jun 10, 2011

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Deaf people use the same brain modules to process sign language. Language seems to be independent of sound. Language (whether sign or sounded) is about grammar parsing and generation. Algebraic equations follow grammar too.
hush1
Jun 10, 2011

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Language is function - see Fourier Transformations, also algebraic equations. Math is a language. The origin of math is Nature. The origin of sound and touch is Nature. The origin of language is sound and touch.

Sign language has TWO modes. Touch and sight. For those deaf, dumb and blind, touch will be that mode.

All people use the same (own) brain to process ANY language.
ANY sensory perception is language. ALL 'equations' and 'grammar' come from sensory perception. ALL sensory perception comes from Nature.

Grammar parsing and generation are rules. To 'learn' those rules or ANYTHING, the prerequisite is sensory perception.
You can proclaim the 'independence' of rules of grammar from ALL languages. You can proclaim the 'independence' of language from sound.

This 'independence' DEPENDS on Nature. Why claim 'independence' when literally EVERYTHING shows or exhibits a dependency on something else? Unless you are a mathematician, there is no reason to seek something truly 'independent'
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