// Numbas version: exam_results_page_options {"name": "Propositional Logic 1", "metadata": {"description": "", "licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International"}, "duration": 0, "percentPass": 0, "showQuestionGroupNames": false, "shuffleQuestionGroups": false, "showstudentname": true, "question_groups": [{"name": "Group", "pickingStrategy": "all-ordered", "pickQuestions": 1, "questionNames": ["", ""], "variable_overrides": [[], []], "questions": [{"name": "Alexander's copy of Andrew's copy of Propositions (v2)", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Newcastle University Mathematics and Statistics", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/697/"}, {"name": "Alexander Corner", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/5328/"}], "tags": [], "metadata": {"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"}, "statement": "

Which of the following are propositions?

", "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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Create a truth table for a logical expression of the form $a \\operatorname{op} b$ where $a, \\;b$ can be the Boolean variables $p,\\;q,\\;\\neg p,\\;\\neg q$ and $\\operatorname{op}$ one of $\\lor,\\;\\land$.

For example $\\neg q \\to \\neg p$.

", "licence": "Creative Commons Attribution 4.0 International"}, "statement": "

In the following question you are asked to construct a truth table for:

\\[\\var{a} \\var{op} \\var{b}.\\]

Enter T if true, else enter F.

", "advice": "

Here is the truth table.

\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n

$p$	$q$	$\\var{a} \\var{op} \\var{b}$
$\\var{disp[0]}$	$\\var{disq[0]}$	$\\var{ev1[0]}$
$\\var{disp[1]}$	$\\var{disq[1]}$	$\\var{ev1[1]}$
$\\var{disp[2]}$	$\\var{disq[2]}$	$\\var{ev1[2]}$
$\\var{disp[3]}$	$\\var{disq[3]}$	$\\var{ev1[3]}$

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Complete the following truth table:

\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n

$p$	$q$	$\\var{a} \\var{op} \\var{b}$
$\\var{disp[0]}$	$\\var{disq[0]}$	[[0]]
$\\var{disp[1]}$	$\\var{disq[1]}$	[[1]]
$\\var{disp[2]}$	$\\var{disq[2]}$	[[2]]
$\\var{disp[3]}$	$\\var{disq[3]}$	[[3]]

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