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The prime uses phrases like "open sentence"...
06-01-2014, 07:22 AM
Post: #1
The prime uses phrases like "open sentence"...
For those who know, when did this come into vogue and why?

Is this a US thing, or does it see wider use?
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06-01-2014, 08:46 AM
Post: #2
RE: The prime uses phrases like "open sentence"...
Could you cite a sentence referring to "open sentence..." in a sentence?

For example, "He drank so much all he could do was ...," <expletive deleted>. An open sentence, and you can fill in expletive's as your mind may elect.
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06-01-2014, 01:05 PM
Post: #3
RE: The prime uses phrases like "open sentence"...
(06-01-2014 07:22 AM)Craig Thomas Wrote:  For those who know, when did this come into vogue and why?

Is this a US thing, or does it see wider use?

According to dictionary.com, "open sentence" dates back to around 1935-40. It doesn't say whether it's an Americanism or not. A good article about open sentences can be found here.

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06-01-2014, 01:24 PM
Post: #4
RE: The prime uses phrases like "open sentence"...
There could be a judicial interpretation: " He was banished to the dungeon for an open sentence..." Such an interpretation could flow back to antiquity, with national origin ambiguous..., just to prolong an open sentence.
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06-01-2014, 01:38 PM (This post was last modified: 06-01-2014 01:40 PM by DrD.)
Post: #5
RE: The prime uses phrases like "open sentence"...
Would the definition of a transcendental number be an open sentence? If so, perhaps the origin might be from Summerian sources, or another planet such as Nibiru (planet X)?
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06-02-2014, 04:19 AM
Post: #6
RE: The prime uses phrases like "open sentence"...
....laughing.....
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06-02-2014, 02:18 PM
Post: #7
RE: The prime uses phrases like "open sentence"...
Basically, how does one describe the form of '<something>=<something>' when NEARLY ALL users because confused regarding the use of "equation" when they saw the adv graphing symb screen?

Users are just so used to seeing the y= form that they couldn't associate any other form of entry for a graphing screen. There had to be some way to indicate that "this is not a normal graphing entry item" that distinguished it from the "normal equation" for drawing a graph. We tried several things, and that was the one that was most understood by testers and worked better then anything else.

TW

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06-02-2014, 02:27 PM
Post: #8
RE: The prime uses phrases like "open sentence"...
From Mathematical Proofs, 3rd ed. (page 38):

Quote:In general, an open sentence is a declarative sentence that contains one or more variables, each variable representing a value in some pre described set, called the domain of the variable, and which becomes a statement when values from their respective domains are substituted for these values.

A statement is simply a declarative sentence or assertion that is true or false (but not both).

These are terms typically introduced in a formal logic class. In the case of the HP Prime, I only know of the use of open sentence in the Advanced Graphing app, since it indeed creates a plot-point based on the truth value of the open sentence after substation of X and Y values into the sentence.

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06-02-2014, 11:48 PM
Post: #9
RE: The prime uses phrases like "open sentence"...
(06-02-2014 02:18 PM)Tim Wessman Wrote:  Basically, how does one describe the form of '<something>=<something>' when NEARLY ALL users because confused regarding the use of "equation" when they saw the adv graphing symb screen?

Users are just so used to seeing the y= form that they couldn't associate any other form of entry for a graphing screen. There had to be some way to indicate that "this is not a normal graphing entry item" that distinguished it from the "normal equation" for drawing a graph. We tried several things, and that was the one that was most understood by testers and worked better then anything else.

Thanks Tim.
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