Propositions with negative marking

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Kimia Aksir

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4 years, 6 months ago

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Kimia Aksir 4 years, 6 months ago

Gave some feedback: Ready to use

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Marie Nicholson 6 years ago

Created this as a copy of Marie's copy of Andrew's copy of Propositions (v2).

Name	Status	Author	Last Modified
Andrew's copy of Propositions (v2)	Ready to use	Newcastle University Mathematics and Statistics	20/11/2019 14:51
Marie's copy of Andrew's copy of Propositions (v2)	draft	Marie Nicholson	17/01/2018 14:08
Propositions (v2)	Ready to use	Marie Nicholson	04/02/2021 15:53
Luis's copy of Andrew's copy of Propositions (v2)	draft	Luis Hernandez	30/11/2018 19:17
Marie's copy of Andrew's copy of Propositions (v2)	draft	Marie Nicholson	04/03/2021 16:43
Propositions with negative marking	Ready to use	Marie Nicholson	04/02/2021 15:25
Valid or invalid argument	Should not be used	Marie Nicholson	04/02/2021 15:26
Alexander's copy of Andrew's copy of Propositions (v2)	Ready to use	Alexander Corner	19/09/2020 20:24

There are 10 other versions that do you not have access to.

Question statement

Which of the following are propositions?

Give any introductory information the student needs.

			Name	Type	Generated Value

all	list	Nested 26×3 list
select	list	[ 24, 17, 13, 23, 0, 1 ]
marking_matrix	list	Nested 6×2 list

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Name

Data type

Value

xxxxxxxxxx
 
[
['Every real number is an even integer.','This is a proposition. It is false as there are real numbers which are not even integers, e.g. $1$.',1],
  ['Every even integer is a real number.','A proposition and true.',1],
  ['If $x$ and $y$ are real numbers and $5x=5y$, then $x=y$.','A true proposition as we can cancel off the 5s.',1],
  ['Lions and tigers.','This is not a proposition as there is no truth value we can determine.',-1],
  ['Lions and tigers are animals.','This is a true proposition, at least in the standard interpretation of the words.',1],
  ['Some sets are finite.','A true proposition as, for example, the set $\\\{1 \\\}$ is finite.',1],
  ['The derivative of any polynomial of degree $5$ is a polynomial of degree $6$.','This is a false proposition (as the derivative is of degree $4$).',1],
  ['The smallest positive whole number is 2.','This is a proposition and false, as the smallest positive whole number is $1$.',1],
  ['$\\cos(x)=-1$.','This is not a proposition: its  truth depends on the value of $x$.',-1],
  ['If $n$ is a real number and $n$ is not zero then $n/n=1$.','This a proposition: it is true.',1],
  ['The integer $x$ is a multiple of $7$.','Not a proposition. Its truth depends on the value of $x$.',-1],
  ['If the integer $x$ is a multiple of $7$, then it is divisible by $7$.','A true proposition.',1],
  ['Either the integer $x$ is a multiple of $7$, or it is not.','A proposition and true.',1],
  ['Call me Ishmael.','Not a proposition as we cannot ascertain a truth value.',-1],
  ['Either $x>3$ or $x<0$.','Not a proposition: its truth depends on the value of $x$.',-1],
  ['They like fishcakes.','Not a proposition. Its truth depends on who "They" are.',-1],
  ['In the beginning.','Not a proposition: is neither true nor false.',-1],
  ['This sentence is false. ','Not a proposition. The sentence is self-referential',-1],
  ['To be or not to be.','Not a proposition: is neither true nor false.',-1],
  ['Cork won the Hurling All Ireland in 2005.','A proposition. It is true, according to the records.',1],
  ['Cork and the Rebel county are two different names for the same place.', 'A proposition. It is a true sentence',1],
  ['If $3x^2-2=0$ then $x=\\sqrt{2/3}$ or $x=-\\sqrt{2/3}$','A proposition. It does not depend what $x$ is. It is true.',1],
  ['Numbers $x$, $y$ and $z$ have the property that $x+y=z$.','Not a proposition, as its truth depends on the values of $x$, $y$ and $z$.',-1],
  ['Numbers $x$, $y$ and $z$ have the property that $x+y>z$ or $x+y \\le z$', 'A proposition. One or other of the conditions holds.',1],   
  ['Cork is the capital of Ireland','A proposition.  Not true but a proposition',1],
  ['It is raining','A proposition.  The truth value may change but it is always true or false',1]
  ]

JME function reference

Description

Describe what this variable represents, and list any assumptions made about its value.

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Generated value: `list`

[ [ "Every real number is an even integer.", "This is a proposition. It is false as there are real numbers which are not even integers, e.g.

$1$ .", 1 ], [ "Every even integer is a real number.", "A proposition and true.", 1 ], [ "If

$x$ and

$y$ are real numbers and

$5x=5y$ , then

$x=y$ .", "A true proposition as we can cancel off the 5s.", 1 ], [ "Lions and tigers.", "This is not a proposition as there is no truth value we can determine.", -1 ], [ "Lions and tigers are animals.", "This is a true proposition, at least in the standard interpretation of the words.", 1 ], [ "Some sets are finite.", "A true proposition as, for example, the set

$\\\{1 \\\}$ is finite.", 1 ], [ "The derivative of any polynomial of degree

$5$ is a polynomial of degree

$6$ .", "This is a false proposition (as the derivative is of degree

$4$ ).", 1 ], [ "The smallest positive whole number is 2.", "This is a proposition and false, as the smallest positive whole number is

$1$ .", 1 ], [ "

$\\cos(x)=-1$ .", "This is not a proposition: its truth depends on the value of

$x$ .", -1 ], [ "If

$n$ is a real number and

$n$ is not zero then

$n/n=1$ .", "This a proposition: it is true.", 1 ], [ "The integer

$x$ is a multiple of

$7$ .", "Not a proposition. Its truth depends on the value of

$x$ .", -1 ], [ "If the integer

$x$ is a multiple of

$7$ , then it is divisible by

$7$ .", "A true proposition.", 1 ], [ "Either the integer

$x$ is a multiple of

$7$ , or it is not.", "A proposition and true.", 1 ], [ "Call me Ishmael.", "Not a proposition as we cannot ascertain a truth value.", -1 ], [ "Either

$x>3$ or

$x<0$ .", "Not a proposition: its truth depends on the value of

$x$ .", -1 ], [ "They like fishcakes.", "Not a proposition. Its truth depends on who \"They\" are.", -1 ], [ "In the beginning.", "Not a proposition: is neither true nor false.", -1 ], [ "This sentence is false. ", "Not a proposition. The sentence is self-referential", -1 ], [ "To be or not to be.", "Not a proposition: is neither true nor false.", -1 ], [ "Cork won the Hurling All Ireland in 2005.", "A proposition. It is true, according to the records.", 1 ], [ "Cork and the Rebel county are two different names for the same place.", "A proposition. It is a true sentence", 1 ], [ "If

$3x^2-2=0$ then

$x=\\sqrt{2/3}$ or

$x=-\\sqrt{2/3}$ ", "A proposition. It does not depend what

$x$ is. It is true.", 1 ], [ "Numbers

$x$ ,

$y$ and

$z$ have the property that

$x+y=z$ .", "Not a proposition, as its truth depends on the values of

$x$ ,

$y$ and

$z$ .", -1 ], [ "Numbers

$x$ ,

$y$ and

$z$ have the property that

$x+y>z$ or

$x+y \\le z$ ", "A proposition. One or other of the conditions holds.", 1 ], [ "Cork is the capital of Ireland", "A proposition. Not true but a proposition", 1 ], [ "It is raining", "A proposition. The truth value may change but it is always true or false", 1 ] ]

→ Used by:

marking_matrix
select

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{all[select[0]][0]}
{all[select[1]][0]}
{all[select[2]][0]}
{all[select[3]][0]}
{all[select[4]][0]}
{all[select[5]][0]}

Proposition
Not a proposition

For each combination of answer and choice, specify the number of marks to add or subtract when the student picks it.

	Proposition	Not a proposition
{all[select[0]][0]}
{all[select[1]][0]}
{all[select[2]][0]}
{all[select[3]][0]}
{all[select[4]][0]}
{all[select[5]][0]}

Advice

For the above we have:

1. {all[select[0]][0]}

{all[select[0]][1]}

2. {all[select[1]][0]}

{all[select[1]][1]}

3. {all[select[2]][0]}

{all[select[2]][1]}

4. {all[select[3]][0]}

{all[select[3]][1]}

5. {all[select[4]][0]}

{all[select[4]][1]}

6. {all[select[5]][0]}

{all[select[5]][1]}

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Kimia Aksir 4 years, 6 months ago

Marie Nicholson 6 years ago

Error in variable testing condition

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Generated value: `list`

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Propositions with negative marking

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Kimia Aksir 4 years, 6 months ago

Marie Nicholson 6 years ago

Error in variable testing condition

Error

Warning

Generated value: list

Parts

Match choices with answers

Advanced settings

Generated value: `list`