{"id":1548,"date":"2016-08-18T01:29:17","date_gmt":"2016-08-18T01:29:17","guid":{"rendered":"http:\/\/course.oeru.org\/criticalreasoning\/?page_id=1548"},"modified":"2016-08-18T01:29:17","modified_gmt":"2016-08-18T01:29:17","slug":"learning-pathway-4-answer-key","status":"publish","type":"page","link":"https:\/\/course.oeru.org\/criticalreasoning\/answer-keys\/learning-pathway-4-answer-key\/","title":{"rendered":"Learning Pathway 4 Answer Key"},"content":{"rendered":"<div id=\"content\" class=\"mw-body container\" role=\"main\">\n<div class=\"row\">\n<div class=\"col-md-12\">\n<div class=\"panel\">\n<div class=\"panel-body\">\n<div id=\"bodyContent\">\n<div id=\"mw-content-text\" lang=\"en\" dir=\"ltr\" class=\"mw-content-ltr\">\n<p><i>Quizzes 7, 8, 9 and 10<\/i>\n<\/p>\n<h2><span class=\"mw-headline\" id=\"Journal_Assignment_7\">Journal Assignment 7<\/span><\/h2>\n<h3><span class=\"mw-headline\" id=\"1._In_your_own_words.2C_explain_the_difference_between_deductive_and_inductive_arguments._Write_down_two_examples_of_each_in_your_journal.\">1. <i>In your own words, explain the difference between deductive and inductive arguments. Write down two examples of each in your journal.<\/i><\/span><\/h3>\n<p>In a <b>deductive argument<\/b> the premises already contain the conclusion. If all the premises in a deductive argument are true (in a provable sense), then its conclusion must be true also, because the claim asserted by its conclusion has already been stated in its premises. Put differently, in a valid deductive argument the truth of the premises supports with certainty the truth of the conclusion.\n<\/p>\n<p><b>Inductive arguments<\/b> have conclusions that supply more information than is contained in their premises. In an inductive argument the supporting connection between its premises and conclusion is loose and there is no strict proof in induction. We can say that inductive reasoning is a matter of reasonable expectation based on experience, such as observation. Inductive arguments are common in everyday situations and in the domain of science in its search for knowledge.\n<\/p>\n<p><b>Example<\/b> of a <b>deductive<\/b> argument:\n<\/p>\n<ol>\n<li> If Susan is a mother, then Susan is female.\n<\/li>\n<li> Susan is a mother.\n<\/li>\n<li> Therefore, Susan is female.\n<\/li>\n<\/ol>\n<p><b>Example<\/b> of <b>inductive<\/b> argument:\n<\/p>\n<ol>\n<li> The phenomenon of consciousness cannot be explained according to Descartes\u2019 dualistic view of mind and body.\n<\/li>\n<li> Consciousness is not located in the mind, or the body.\n<\/li>\n<li> Therefore, consciousness is a field of experience \u201csituated\u201d in the world.\n<\/li>\n<\/ol>\n<h3><span class=\"mw-headline\" id=\"2._Explain_the_difference_between_valid_deductive_arguments_and_invalid_deductive_arguments_and_then_write_down_two_examples_of_each_in_your_journal.\">2. <i>Explain the difference between valid deductive arguments and invalid deductive arguments and then write down two examples of each in your journal.<\/i><\/span><\/h3>\n<p>Validity depends on form. Example of valid <b>deductive<\/b> argument:\n<\/p>\n<dl>\n<dd> All men are mortal,\n<\/dd>\n<dd> Socrates is a man,\n<\/dd>\n<dd> Therefore, Socrates is mortal.\n<\/dd>\n<\/dl>\n<p>The structure of the argument is valid because the premises give sufficient and even necessary support for the conclusion.\n<\/p>\n<p>Example of <b>invalid deductive<\/b> argument:\n<\/p>\n<dl>\n<dd> If Philippa is fit, she will run the marathon.\n<\/dd>\n<dd> Philippa is not fit.\n<\/dd>\n<dd> Therefore, she will not run the marathon.\n<\/dd>\n<\/dl>\n<p>The structure of the argument is invalid because the premises do not give sufficient support for the conclusion to follow. There might be many reasons why Philippa will not run the marathon: the fact that she is not fit is simply one such reason. Alternatives are possible.\n<\/p>\n<h3><span class=\"mw-headline\" id=\"3._In_your_online_references.2C_identify_the_differences_between_three_major_types_of_inductive_arguments._Name_each_type_and_write_down_examples_of_each_in_your_journal.\">3. <i>In your online references, identify the differences between three major types of inductive arguments. Name each type and write down examples of each in your journal.<\/i><\/span><\/h3>\n<h4><span class=\"mw-headline\" id=\"Statistical_extrapolation\"><i>Statistical extrapolation<\/i><\/span><\/h4>\n<p>A statistical syllogism proceeds from a generalization to a conclusion about an individual.\n<\/p>\n<ul>\n<li> A proportion Q of population P has attribute A.\n<\/li>\n<li> An individual X is a member of P.\n<\/li>\n<\/ul>\n<p><i>Therefore:<\/i>\n<\/p>\n<ul>\n<li> There is a probability which corresponds to Q that X has A.\n<\/li>\n<\/ul>\n<p><b>Example 1<\/b>\n<\/p>\n<ul>\n<li> 60% of artists are left handed.\n<\/li>\n<li> Paul is an artist.\n<\/li>\n<\/ul>\n<p><i>Therefore:<\/i>\n<\/p>\n<ul>\n<li> there is a 60% probability that Paul is an artist.\n<\/li>\n<\/ul>\n<p><b>Example 2<\/b>\n<\/p>\n<ul>\n<li> 90% of the population is dead by the age of 90.\n<\/li>\n<li> Jane will turn 90 this year.\n<\/li>\n<\/ul>\n<p><i>Therefore:<\/i>\n<\/p>\n<ul>\n<li> Jane will likely die this year.\n<\/li>\n<\/ul>\n<p><b>Example 3<\/b>\n<\/p>\n<ul>\n<li> Neoconicotinoid pesticides have been used to kill insects.\n<\/li>\n<li> Populations of tree sparrows and common starlings fell 3.5 percent a year compared to the average population trend for their species in areas were concentrations of neonicotinoid pesticides reached more than 20 nanograms\/liter.\n<\/li>\n<\/ul>\n<p><i>Therefore:<\/i>\n<\/p>\n<ul>\n<li> Neoconicotinoid pesticides are likely affecting whole ecosystems.\n<\/li>\n<\/ul>\n<h4><span class=\"mw-headline\" id=\"Inductive_reasoning_by_analogy\"><i>Inductive reasoning by analogy<\/i><\/span><\/h4>\n<p>The process of analogical inference involves noting the shared properties of two or more things, and from this basis inferring that they also share some further property.\n<\/p>\n<ul>\n<li> P and Q are similar in respect to properties a, b, and c.\n<\/li>\n<li> Object P has been observed to have further property x.\n<\/li>\n<li> <i>Therefore<\/i>, Q probably has property x also.\n<\/li>\n<\/ul>\n<p><b>Example 1<\/b>\n<\/p>\n<ul>\n<li> Carrie and George both attend Columbia University, study hard, are on the Dean\u2019s List, and volunteer with the Harlem Legal Aid Society in their free time.\n<\/li>\n<li> Carrie has been admitted to Law School.\n<\/li>\n<li> <i>Therefore<\/i>, it is probable that George has been admitted to Law School.\n<\/li>\n<\/ul>\n<p>Analogical reasoning is very frequent in <a href=\"http:\/\/en.wikipedia.org\/wiki\/common_sense\" class=\"extiw\" title=\"wikipedia:common sense\">common sense<\/a>, <a href=\"http:\/\/en.wikipedia.org\/wiki\/science\" class=\"extiw\" title=\"wikipedia:science\">science<\/a>, <a href=\"http:\/\/en.wikipedia.org\/wiki\/philosophy\" class=\"extiw\" title=\"wikipedia:philosophy\">philosophy<\/a> and the <a href=\"http:\/\/en.wikipedia.org\/wiki\/humanities\" class=\"extiw\" title=\"wikipedia:humanities\">humanities<\/a>, but sometimes it is accepted only as an auxiliary method. A refined approach is <a href=\"http:\/\/en.wikipedia.org\/wiki\/case-based_reasoning\" class=\"extiw\" title=\"wikipedia:case-based reasoning\">case-based reasoning<\/a>.\n<\/p>\n<h4><span class=\"mw-headline\" id=\"Cause_and_effect_reasoning\"><i>Cause and effect reasoning<\/i><\/span><\/h4>\n<p>A causal inference draws a conclusion about a causal connection based on the conditions of the occurrence of an effect. Premises about the correlation of two things can indicate a causal relationship between them, but additional factors must be confirmed to establish the exact form of the causal relationship.\n<\/p>\n<p><b>Example 1<\/b>\n<\/p>\n<ul>\n<li> All evidence to this point suggests that genetic mutations produce cancerous tumors.\n<\/li>\n<\/ul>\n<p><i>Therefore<\/i>, it is likely that genetic mutations produce cancerous tumors.\n<\/p>\n<p><b>Example 2<\/b>\n<\/p>\n<ul>\n<li> Germs cause disease.\n<\/li>\n<\/ul>\n<p><i>Therefore<\/i>, washing your hands before eating eliminates germs.<br \/>\nIt is likely that washing your hands before meals will keep you healthy\n<\/p>\n<h3><span class=\"mw-headline\" id=\"4._What_is_the_difference_between_a_valid_argument_and_a_sound_argument.3F_Write_down_two_examples_of_each_in_your_journal.\">4. <i>What is the difference between a valid argument and a sound argument? Write down two examples of each in your journal.<\/i><\/span><\/h3>\n<p>The validity of arguments refers solely to their structure (form) and not their content.  When we establish the validity of an argument we look at the relationship between the premises and the conclusion of the argument.  The soundness of arguments refers to the contents of their premises and conclusion.  When we assess the soundness, or acceptability, of an argument we want to establish whether or not the evidence provided by the premises is actually true, or acceptable.\n<\/p>\n<p><b>Example 1<\/b>\n<\/p>\n<ul>\n<li> Premise: All creatures on the planet Mercury have pointed ears.\n<\/li>\n<li> Premise: Beauty is a creature on the planet Mercury.\n<\/li>\n<li> Conclusion: Therefore, Beauty has pointed ears.\n<\/li>\n<\/ul>\n<p><b>Example 2<\/b>\n<\/p>\n<ul>\n<li> Premise: All humans lie.\n<\/li>\n<li> Premise: Jake is human.\n<\/li>\n<li> Conclusion: Therefore Jake lies.\n<\/li>\n<\/ul>\n<p>The arguments are valid because their structure is valid. Also, the conclusion follows logically from the premises. But the arguments are senseless. The arguments are unsound because when we evaluate the premises of the arguments, it is clear that the premises do not give adequate evidence for the conclusion to be true.\n<\/p>\n<h2><span class=\"mw-headline\" id=\"Quiz_7\">Quiz 7<\/span><\/h2>\n<blockquote>\n<p>1.\tYou can have a sound argument even if your premises are false.<br \/>\n_______ TRUE     __x__ FALSE\n<\/p>\n<p>2.\tA statement is any claim that either asserts or denies a state of affairs in the world.<br \/>\n___x___ TRUE     _____ FALSE\n<\/p>\n<p>3.\tInductive arguments are arguments that go from the general to the particular.<br \/>\n_______ TRUE     __x__ FALSE\n<\/p>\n<p>4.\tAn argument is any group of sentences that describes a situation.<br \/>\n_______ TRUE     __x__ FALSE\n<\/p>\n<p>5.\tAn argument is a series of statements where one or more of these statements is\/are intended to establish the truth or acceptability of the conclusion.<br \/>\n__x__ TRUE     _____ FALSE\n<\/p>\n<p>6.\tAn argument must have at least three premises.<br \/>\n_____ TRUE      __x__ FALSE\n<\/p>\n<p>7.\tA conclusion is the main claim or point in an argument that the premises are intended to prove.<br \/>\n__x__ TRUE     _____ FALSE\n<\/p>\n<p>8.\tA good convincing argument is a valid argument. That is, since you accept that the premises are true, the conclusion must also be true.<br \/>\n_____  TRUE     __x__ FALSE\n<\/p>\n<p>9.\tA premise is a reason offered in support of an argument\u2019s conclusion.<br \/>\n__x__ TRUE     _____ FALSE\n<\/p>\n<p>10.\tA good, convincing argument is a sound argument. That is, since you accept all the premises are true, you must accept the conclusion is true.<br \/>\n_____ TRUE     __x__  FALSE\n<\/p>\n<\/blockquote>\n<h2><span class=\"mw-headline\" id=\"Quiz_8\">Quiz 8<\/span><\/h2>\n<p>What type of argument is the following?\n<\/p>\n<p>E = <b>Empirical<\/b>; V = <b>Value<\/b>\n<\/p>\n<blockquote>\n<p>1. _E_ If it rains today, the cricket match will be cancelled. It is raining today. Therefore, the cricket match is cancelled.\n<\/p>\n<p>2. _E_ My car is out of petrol. Therefore, it won\u2019t start.\n<\/p>\n<p>3. _V_ Animals feel pain just as we do. It is only because we feel pain that it matters how others treat us. The capacity to feel pain is the origin of morality. Thus, the way we treat animals must be a matter of moral concern for us.\n<\/p>\n<p>4. _V_ Abortion is fully justified because a fetus is not a moral agent. Moreover, a fetus cannot make rational decisions.\n<\/p>\n<p>5. _V_ Affirmative action cannot be justified. First, it amounts to reverse discrimination. Second, it begets racial conflicts. Finally, it is a short-sighted solution to redress the wrongs of the past.\n<\/p>\n<p>6. _E_ The price of petrol will go up, if there is conflict in the Middle East. There is conflict in the Middle East. Therefore, the price of petrol will increase.\n<\/p>\n<\/blockquote>\n<p>Identify the following in terms of soundness and validity:\n<\/p>\n<blockquote>\n<p>1.\tAre all valid arguments sound?  <i>True by definition \u2013 sound arguments have to be valid.<\/i><br \/>\n___X___ yes     ______ no\n<\/p>\n<p>2.\tCan a valid argument result in a false conclusion?  <i>Yes.  If a valid argument contains a false premise, then the argument will be valid but unsound, i.e. its conclusion will not be true.<\/i><br \/>\n___X__  yes     ______ no\n<\/p>\n<p>3.\tAre all true statements valid?  <i>Only arguments can be valid, not statements. Statements can be true or false.<\/i><br \/>\n______  yes     ___X___ no\n<\/p>\n<p>4.\tIf you can knit, you can crochet. Sally can knit, therefore Sally can crochet. <i>Valid but not sound.  First premise is not true though it may be true that Sally can crochet.<\/i><br \/>\n______  sound   __X____ valid  _____ neither\n<\/p>\n<p>5.\tIn order for an argument to be sound, it requires that its premises be true and its form valid.<br \/>\n___X__  yes     ______ no\n<\/p>\n<p>Examples:\n<\/p>\n<dl>\n<dd> All dogs have tails.\n<\/dd>\n<dd> Rusty has a tail.\n<\/dd>\n<dd> Therefore Rusty is a dog\n<\/dd>\n<\/dl>\n<dl>\n<dd> <i><b>Not sound.<\/b><\/i>  <i>It affirms the consequent which is an invalid step.<\/i>\n<\/dd>\n<\/dl>\n<dl>\n<dd> Either you are on the blue team or the red team.\n<\/dd>\n<dd> Sally is on the red team.\n<\/dd>\n<\/dl>\n<dl>\n<dd> <i><b>Sound.<\/b><\/i>  <i>Premises are true and form is valid.<\/i>\n<\/dd>\n<\/dl>\n<\/blockquote>\n<h2><span class=\"mw-headline\" id=\"Quiz_9\">Quiz 9<\/span><\/h2>\n<p>What kind of statement is the following:\n<\/p>\n<p>D = <b>Deductive<\/b>;  I = <b>Inductive<\/b>\n<\/p>\n<blockquote>\n<p>1.\t_I_  More doctors smoke Marlboros than any other cigarette.  They must be good for your health. (<i>inductive<\/i>)\n<\/p>\n<p>2.\t_D_  All plants need water to grow. If my philodendron does not get water, it will die.  (<i>deductive<\/i>)\n<\/p>\n<p>3.\t_D_  Desert plants require little water. If the drought does not last, the cactus will survive.  (<i>deductive<\/i>)\n<\/p>\n<p>4.\t_I_  Meteorologists predicted rain for today; it must be raining. (<i>inductive<\/i>)\n<\/p>\n<p>5.\t_I_  The man I saw break into the apartment was wearing a hoodie. Philip is wearing a hoodie. He must be the man I saw.  (<i>inductive<\/i>)\n<\/p>\n<p>6.\t_D_  Only hippies wear Birkenstocks. Jake is wearing Birkenstocks. Jake must be a hippie.  (<i>deductive<\/i>)\n<\/p>\n<p>7.\t_I_  Blondes have more fun. I should dye my hair blonde. (<i>inductive<\/i>)\n<\/p>\n<p>8.\t_I_ The last three dresses Jane wore were red, she will likely be wearing red again today.  (<i>inductive<\/i>)\n<\/p>\n<p>9.\t_D_ The logical method of science is inductive. Induction is fallibilistic and never reaches absolute certainty. Therefore I can\u2019t trust everything science tells me. (<i>deductive<\/i>)\n<\/p>\n<p>10.\t_I_ Melissa is a fashion model.  Most models are tall and slim. Melissa must be tall and slim. (<i>inductive<\/i>)\n<\/p>\n<p>11.\t_I_ Artists tend to be left handed. Joel is left-handed. Joel must be an artist. (<i>inductive<\/i>)\n<\/p>\n<\/blockquote>\n<h2><span class=\"mw-headline\" id=\"Quiz_10\">Quiz 10<\/span><\/h2>\n<p>What kind of statement is the following:\n<\/p>\n<p>D = <b>Deductive<\/b>;  I = <b>Inductive<\/b>\n<\/p>\n<blockquote>\n<p>1.\t_I_ Jane and Joe left their crayons out in the sun yesterday and they melted. If they leave them out again today, they will melt again.\n<\/p>\n<p>2.\t_D_  All men are mortal, Socrates is a man, therefore Socrates is mortal.\n<\/p>\n<p>3.\t_I_ The stock market has risen every day for the last two months. I should invest in the stock market because it will probably continue to rise.\n<\/p>\n<p>4.\t_I_ Aches and fever are symptoms of the flu. Billy has aches and a fever. He must have the flu.\n<\/p>\n<p>5.\t_D_  All fruits grow on trees, therefore all apples grow on trees.\n<\/p>\n<p>6.\t_D_  All numbers ending in 5 or 0 are divisible by 5. The number 45 ends in 5 therefore it is divisible by 5.\n<\/p>\n<p>7.\t_I_ Most puppies bark at night. I need my sleep so I shouldn\u2019t get a puppy because he will keep me up all night.\n<\/p>\n<p>8.\t_D_  Since all squares are rectangles and all rectangles have four sides, then all squares have four sides.\n<\/p>\n<p>9.\t_I_ Complicated things in the world are evidence that they were created by an intelligent designer. The world evidences great complexity and design. It must have been made by an intelligent being.\n<\/p>\n<p>10.\t_D_ Since all mammals nurse their young, then all whales nurse their young.\n<\/p>\n<p>11.\t_I_ The mailman has come at 1 pm every day this summer. The mailman will come at 1 pm today.\n<\/p>\n<\/blockquote>\n<p><!-- \nNewPP limit report\nCPU time usage: 0.041 seconds\nReal time usage: 0.049 seconds\nPreprocessor visited node count: 65\/1000000\nPreprocessor generated node count: 88\/1000000\nPost\u2010expand include size: 0\/2097152 bytes\nTemplate argument size: 0\/2097152 bytes\nHighest expansion depth: 2\/40\nExpensive parser function count: 0\/100\n--><\/p>\n<p><!-- Saved in parser cache with key wikiedu-mw_:pcache:idhash:177769-0!*!*!!en!*!* and timestamp 20160818005057 and revision id 1008694\n -->\n<\/div>\n<div class=\"visualClear\"><\/div>\n<\/p><\/div>\n<\/p><\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"row\">\n<div class=\"col-md-12\">\n<ul class=\"pager\">\n<li class=\"previous\">\n            <a href=\"\/criticalreasoning\/answer-keys\/learning-pathway-3-answer-key\">\u2190 Previous<\/a>\n          <\/li>\n<li class=\"next\">\n            <a href=\"\/criticalreasoning\/answer-keys\/learning-pathway-5-answer-key\">Next \u2192<\/a>\n          <\/li>\n<\/ul><\/div>\n<\/p><\/div>\n<\/div>\n<footer>\n<br \/>\n<\/footer>\n","protected":false},"excerpt":{"rendered":"<p>Quizzes 7, 8, 9 and 10 Journal Assignment 7 1. In your own words, explain the difference between deductive and inductive arguments. Write down two examples of each in your journal. In a deductive argument the premises already contain the conclusion. If all the premises in a deductive argument are true (in a provable sense), [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":1540,"menu_order":4400,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-1548","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/course.oeru.org\/criticalreasoning\/wp-json\/wp\/v2\/pages\/1548","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/course.oeru.org\/criticalreasoning\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/course.oeru.org\/criticalreasoning\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/course.oeru.org\/criticalreasoning\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/course.oeru.org\/criticalreasoning\/wp-json\/wp\/v2\/comments?post=1548"}],"version-history":[{"count":1,"href":"https:\/\/course.oeru.org\/criticalreasoning\/wp-json\/wp\/v2\/pages\/1548\/revisions"}],"predecessor-version":[{"id":1549,"href":"https:\/\/course.oeru.org\/criticalreasoning\/wp-json\/wp\/v2\/pages\/1548\/revisions\/1549"}],"up":[{"embeddable":true,"href":"https:\/\/course.oeru.org\/criticalreasoning\/wp-json\/wp\/v2\/pages\/1540"}],"wp:attachment":[{"href":"https:\/\/course.oeru.org\/criticalreasoning\/wp-json\/wp\/v2\/media?parent=1548"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}