// Numbas version: finer_feedback_settings {"name": "Propositions (v2) ", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"functions": {}, "ungrouped_variables": ["all", "select", "marking_matrix"], "name": "Propositions (v2) ", "tags": [], "preamble": {"css": "", "js": ""}, "advice": "

For the above we have:

\n

1.  {all[select[0]][0]}

\n

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

\n

2.  {all[select[1]][0]}

\n

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

\n

3.  {all[select[2]][0]}

\n

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

\n

4.  {all[select[3]][0]}

\n

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

\n

5.  {all[select[4]][0]}

\n

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

\n

6.  {all[select[5]][0]}

\n

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

", "rulesets": {}, "parts": [{"maxAnswers": 0, "variableReplacements": [], "layout": {"expression": "", "type": "all"}, "matrix": "marking_matrix", "shuffleAnswers": false, "minAnswers": 0, "shuffleChoices": false, "answers": ["Proposition", "Not a proposition"], "choices": ["{all[select[0]][0]}", "{all[select[1]][0]}", "{all[select[2]][0]}", "{all[select[3]][0]}", "{all[select[4]][0]}", "{all[select[5]][0]}"], "variableReplacementStrategy": "originalfirst", "displayType": "radiogroup", "maxMarks": 0, "scripts": {}, "marks": 0, "warningType": "none", "showCorrectAnswer": true, "type": "m_n_x", "minMarks": 0}], "statement": "

Which of the following are propositions?

", "variable_groups": [], "variablesTest": {"maxRuns": 100, "condition": ""}, "variables": {"all": {"definition": "[\n['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],\n ['Every even integer is a real number.','A proposition and true.',1],\n ['If $x$ and $y$ are real numbers and $5x=5y$, then $x=y$.','A true proposition as we can cancel off the 5s.',1],\n ['Lions and tigers.','This is not a proposition as there is no truth value we can determine.',0],\n ['Lions and tigers are animals.','This is a true proposition, at least in the standard interpretation of the words.',1],\n ['Some sets are finite.','A true proposition as, for example, the set $\\\\\\{1 \\\\\\}$ is finite.',1],\n ['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],\n ['The smallest positive whole number is 2.','This is a proposition and false, as the smallest positive whole number is $1$.',1],\n ['$\\\\cos(x)=-1$.','This is not a proposition: its truth depends on the value of $x$.',0],\n ['If $n$ is a real number and $n$ is not zero then $n/n=1$.','This a proposition: it is true.',1],\n ['The integer $x$ is a multiple of $7$.','Not a proposition. Its truth depends on the value of $x$.',0],\n ['If the integer $x$ is a multiple of $7$, then it is divisible by $7$.','A true proposition.',1],\n ['Either the integer $x$ is a multiple of $7$, or it is not.','A proposition and true.',1],\n ['Call me Ishmael.','Not a proposition as we cannot ascertain a truth value.',0],\n ['Either $x>3$ or $x<0$.','Not a proposition: its truth depends on which values $x$ is allowed to take.',0],\n ['They like fishcakes.','Not a proposition. Its truth depends on who \"They\" are.',0],\n ['In the beginning.','Not a proposition: is neither true nor false.',0],\n ['Newcastle University is a much better place to get your degree.','Not a proposition. It depends on what \"better\" refers to.',0],\n ['To be or not to be.','Not a proposition: is neither true nor false.',0],\n ['Sunderland football club is at its peak.','Not a proposition. It depends on when it is said, and what \"peak\" means.',0],\n ['Newcastle United finished above Sunderland in the 2014-2015 Season.','A proposition. It is true, according to the records.',1],\n ['England and the UK are two different names for the same place.', 'A proposition. People from England may say it is true. They are wrong.',1],\n ['If $3x^2-2=0$ then $x=\\\\sqrt{2/3}$','A proposition. It does not depend what $x$ is. It is false, as $x$ could also be $-\\\\sqrt{2/3}$',1],\n ['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 $z$.',0],\n ['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] \n ]", "templateType": "anything", "group": "Ungrouped variables", "name": "all", "description": ""}, "marking_matrix": {"definition": "map([all[x][2],(all[x][2])*(-1)+1],x,select)", "templateType": "anything", "group": "Ungrouped variables", "name": "marking_matrix", "description": ""}, "select": {"definition": "shuffle(list(0..length(all)-1))[0..6]", "templateType": "anything", "group": "Ungrouped variables", "name": "select", "description": ""}}, "metadata": {"notes": "", "description": "

Asks to determine whether or not 6 statements are propositions or not i.e. we can determine a truth value or not.

", "licence": "Creative Commons Attribution 4.0 International"}, "type": "question", "showQuestionGroupNames": false, "question_groups": [{"name": "", "pickingStrategy": "all-ordered", "pickQuestions": 0, "questions": []}], "contributors": [{"name": "Bill Foster", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/6/"}]}]}], "contributors": [{"name": "Bill Foster", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/6/"}]}