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claims to be valid or invalid |
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claims to be strong or weak, rather than valid or invalid |
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Statistical Generalization |
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uses a sample proportion to generalize about a population; must be large, representative, have acceptable premises, and be unbiased |
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from information concerning a population, we draw a conclusion concerning a member or subset of that population |
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the group containing a certain feature that should bring up all relevant evidence to bear on a subject |
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sufficient if and only if anything that has feature F also has feature G |
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necessary if and only if anything that lacks feature F also lacks feature G |
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candidate/target must both be present |
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candidate/target must both be absent |
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making sure there are many of the right types of cases, some of which are able to fail both SCT and NCT |
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candidates that survive SCT and NCT and also fit in well with systems of other causally generalization |
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causally relevant factors that play a key role in our causal investigations |
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when something is a prior event or change that stands out against the background of fixed conditions |
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when the target is always absent/present, but there is a variation of how much it is there |
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Positively (Negatively) Correlated |
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when A varies directly with B; negatively occurs in the opposite direction
4 possibilities when there is correlation: 1. A causes B 2. B causes A 3. some third thing causes A&B 4. accidental correlation |
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Inference to the Best Explanation |
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measured by 7 standards: 1. explanatory 2. deep 3. powerful 4. falsifiable 5. modest 6. simple 7. conservative
when you have settled on a cause that meets the standards, you can say that it has more explanatory value than other causes, or that you have strong inductive support for that hypothesis |
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says that if A has properties P, Q, R and so does B, C, D, all of which also have property X, then A probably also has X
is strong if: 1. premises are true 2. similarities are relevant (specific) 3. similarities are important 4. few/no relevant dis-analogies 5. conclusion is of the right strength (usually weak) |
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assumes things will average out over time
example: you are not more likely to flip a heads just because you've had ten tails in a row |
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the percentage of outcomes will come closer to the theoretical predicted average of out comes the more trials made |
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characterizes things as more/less probable based on previous experiences and beliefs |
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judging the probability of something based on how easily it comes to mind
example: one assuming death by murder is more common than cancer because of the news |
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non-monetary ways to factoring in considerations before making a bet; such as effects of success/failure on one's resources and preferences, diminishing marginal value |
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takes into account probability of winning, net gain, and net loss |
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Diminishing Marginal Value |
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as the payoff gets larger, the value diminishes
example: buying a million lottery tickets, NOT when dealing with the mafia |
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when you know the probabilities of different outcomes |
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Decisions Under Ignorance |
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when you don't know some or all of the probabilities of different outcomes
ways of making decisions under ignorance: 1. rule of dominance 2. rule of insufficient reason 3. maximax rule 4. maximin rule 5. disaster avoidance |
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option that's outcome is the best no matter what (obvious choice, but rarely available) |
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Rule of Insufficient Reason |
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assigning arbitrary, but equal probabilities to all outcomes; how you break things down changes what can be the best option |
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choosing the option with the best outcome (doesn't consider probability) |
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choosing the option with the best of the worst outcomes (doesn't consider probability) |
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choosing the option that minimizes the chance of a disaster |
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showing there is adequate reason to reject an argument by proving: 1. premises are false 2. conclusion leads to absurd results 3. conclusion doesn't follow from premises 4. argument begs the question |
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universal claim refuted by a single case; defended against by: 1. denying the counterexample is a thing of that kind 2. denying that it lacks said feature |
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one that cannot be handled if you can modify the original claim slightly |
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one that can still be handled if you modify the original claim slightly |
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refuting a claim by showing it implies something absurd; standards: 1. is y absurd? 2. does x really imply y? 3. can x be modified in a minor way that it no longer implies y?
*if yes, yes, no, then the argument is a good reductio |
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when you're unsure if a conclusion is false, you can create a similar argument in virtue/form that is in fact invalid; standards: 1. conclusion must be false 2. premises must be true 3. actually invalid
to refute a parallel argument, one can: 1. deny the conclusions is false 2. deny premises are true 3. deny the parallel argument has the same form |
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refuting an argument by counterexample or reductio that doesn't accurately characterize the position being refuted; a caricature of a position that is false or problematic |
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fallacy where one presents only two choices when there are actually more |
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Sorites Argument (Argument from the Heap) |
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claims that a series of insignificant changes cannot result in a significant change; untrue
*example: adding one cent 1,000,000,000 will result in being richness |
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unclarity that occurs when something applies along a continuum or a series of small changes; can be fixed by definition or adoption of more precise rules
*example: baldness |
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aim to show there is no significant difference between two things on a continuum; 3 types: 1. Conceptual 2. Fairness 3. Causal |
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Conceptual Slippery-Slope Arguments |
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claims that objects at opposite ends of a continuum don't different in an important enough way to draw a distinction; fix by adding purposes of a proposed theory that helps determine what is important to the theory
*example: Paris Hilton is the same as a salt crystal |
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Fairness Slippery-Slope Arguments |
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claims that differences that do exist are so small that they make it unfair to treat them any differently; still better to draw some line than not one at all
*example: percentages that are between two letter grades |
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Causal Slippery-Slope Arguments |
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claim that one thing that doesn't seem that bad will lead to much more horrible effects; one can respond by (or a combination of both, the strongest way): 1. denying the effects are horrible 2. denying the effects are likely
*example: smoking weed leads to use of black tar heroin |
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occurs if and only if a word/phrase is misleading because it is hard to tell which of a number of possible meanings is being used in the context; two types: 1. Semantic 2. Syntactic
one can respond by: 1. disambiguating 2. using a context that forces one interpretation over another |
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ambiguity of individual terms or words |
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more than one possible interpretation of a sentence due to structure |
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rewriting a sentence so one of its possible meanings becomes clear |
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when an argument uses the same expression in different ways in separate parts of the argument
*example: six is an odd number of legs for a horse, odd numbers can't be divided by two; therefore, six can't be divided by two |
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Lexical or Dictionary Definition |
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meaning of a word in a particular language
*example: car- automobile |
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Disambiguating Definition |
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distinguishes which of several meanings is intended
*example: river banks, rather than financial banks |
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assigns a meaning to a new word or a new meaning to a familiar word
*example: in this case, a googol means 1 followed by one-thousand zeros |
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draws a sharp boundary around a fuzzy term
*example: what population constitutes a 'small city' |
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Systematic (Theoretical) Definition |
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gives structure to subject matter
*example: terms in geometry |
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argument directed at the person making the claim rather than their argument; some are justified, some aren't; 3 types: 1. Deniers 2. Silencers 3. Dismissers |
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deny the truth of what is said or the strength of an argument based on who is making it
*example: it is justified to deny the strength of a hired purger's argument |
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revoking someone's right to speak without necessarily denying the truth of what they are saying
*example: someone who is not a senator has no right to be speaking their views in congress |
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dismiss the speaker as untrustworthy and unreliable as a reason not to believe their argument
*example: a businessman/woman who makes decisions for monetary gain wants embargoes with Cuba to end to benefit from trade, rather than mending relations as he/she may say |
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when the irrelevant origin of an argument is attacked rather than the actual claim
*example: Marxists opposing all views that come from capitalism |
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citing someone who has the reasons to support an argument instead of the actual reasons; should answer yes to 1-4: 1. is the authority in the appropriate field? 2. can the kind question be answered with expert consensus? 3. is the authority cited correctly (true claim, spot-check) 4. can the authority be trusted? 5. why is an appeal to authority being made? (the best arguments stand on their own) |
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Fallacy of Relevance (Appeal to Authority) |
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when the cited authority is not in the appropriate field |
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Fallacy of Excessive Footnotes (Appeal to Authority) |
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the best arguments stand on their own, so too many appeals to authority is characteristic of a fallacious argument) |
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Appeal to Popular Opinion |
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when the reason for believing something is because it is widely accepted |
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an appeal to popular opinion that has been accepted for a long time |
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includes appeals to pity (when used to argue a defendant not guilty, usually fallacious), appeals to fear (often amplified), appeals to outrage (be aware of common assumptions), and appeals to positive emotions (make sure positivity isn't clouding negativity) |
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Circular Reasoning (Vacuity) |
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occurs if and only if one of the premises used directly or indirectly supports a conclusion equivalent to itself; occurs by: 1. restating the conclusion in different words 2. suppressing premises that restate the conclusion 3. placing the conclusion at the end and restating it as a premise later
*example: saying that abortion is immoral as support for an argument against the immorality of abortion |
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Begging the Question (Vacuity) |
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similar to circularity; an argument begs the question if and only if: 1. it depends on a premise supported by nothing other than the conclusion 2. there is a need for an independent reason |
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positions set up in a way that nothing can possibly refute it
*example: clairvoyant claims when their predictions are correct they can see into the future and when they are incorrect, bad vibrations interfered |
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