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33 Cards in this Set
- Front
- Back
What is logic
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-study of the techniques we use to distinguish good from bad reasoning
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Argument
Ethyneme |
series of statements that the conclusion follows from the premises
argument with an unstated premiss or conclusion |
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Statement
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-chain or assertion that something is or is not so
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Different types of sentences
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-statement (I rule)
-question(Do I rule?) -command(Go rule!) -performative utterance(I promise to rule) |
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What is the essential difference between inductive/deductive
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one neccessatates, the other is probable
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Inductive argument
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-Claim conc. are only probable
-Conclusions "go beyond" prems -Concl. might be false, even if prems are true -Req. something between no evidence and complete evidence -Marbles, opinions |
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Deductive argument
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-claim conc. are necessary
-conc. do not go beyond prems -concl. cannot be false, if prems are true |
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Strength of inductive?
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-depends on how far beyond the prems the conc. goes
-not really concerned with it in here |
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Valid argument?
Invalid argument |
-If the prems are true, then the conc. must be true. Determined only by form.
-If the prems are true, it is possible for the conc. to be false |
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Sound argument
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-If argument is valid, and the prems are indeed are true
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Key words for premises
Concl |
-because, since, as, for, for the reason that, is shown by
-so, thus, therefore, hence, accordingly |
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Psychological mistake
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-psychological factor independent of logic, but an appeal psychologically
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Argumentum ad Bacalum
Hominem Ignorantium |
-appeal to force
-to the man, a punk gives an argument, say just look at him! or priest arguing for god -from ignorance, you can't prove it is not the case, so it is the case |
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Populum
Misericordium Verecundiam |
-to the people=bandwagoning
-to pity=due to misfortune, plea for help -to authority="learned" people's arguments are better just because of that, not because of anything else |
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Post Hoc Ergo Propter Hoc
Black or white fallacy |
-after the thing=association is causation. I played video games, then I kill somebody, so they must be linked
-either/or. but ridiculous and not clear premises. If I don't pass this test I will die |
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Petitio Principii
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-begging the question. Just restating the premiss, so logical valid but says nothing. Also could be circular argument.
-You should study logic because you ought to learn techniques for good reason |
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Complex question (fallacy)
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-basing question on assumption, also a kind of begging the question. Kind of a set up question
-why did you rob the bank? Are you embarrased that you cheated? |
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Accident/Converse accident
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-taking something sound and applying it accidently to every situation (stealing, giving a weapon back to a drunk person)
-hasty generalization. It is good to not let your friends drive drunk, so it is good to not let frineds drive |
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Division and composition
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-deal with wholes and parts.
-division=say character of one whole applies to the parts (metallica rules, so every song rules) -comp=opposite(every song rules, so Metallica rules) |
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Equivocation
Amphiboly |
-when words have more than one meaning, applying it to all (right=the right to do, and right=good)
-if statement taken intended different than it was taken (John said Mary come here) |
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Classes
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-groups or collections of things which have in common some quality or charecteristic.
-ex. dogs, brown dogs, brown things -Must use nouns or noun phrases: run is not, but runners is... |
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Categorical propositions
Standard form |
-statements that have classes that relate to each other.
1) must talk about two classes, S and P 2) say whether S included in P or excluded from P |
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Types of standard forms
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-All S are P=Universal Affirmitive (A)
-No S are P=Universal Negative (E) -Some S are P=Particular Affirmitive (I) -Some S are not P=Part. Negative (O) -Each has quantity (uni/par) and quality (affirm/neg) |
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Form for
Distribution of term |
-Quantifier-Subject-Copula-Predicate
A=All Sd are Pu E=No Sd are Pd I=Some Su are Pu O=Some Su are not Pd |
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Square of opposition:
Contradictories Contraries Subcontraries Subalternates |
A-O, E-I. opposite truth values
A-E. If one is true other is false:but if one is false, other is unknown I-O. One is false, other is true:if one is true, other is unknown A-I, E-O. T moves down, not up. F Moves Up, not down (E-O) |
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conversion
obversion contraposition |
-Switching S & P
-All S are P->No S are non-P No S are P to all S are non-P -All S are P--> All non-P are non-S |
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All S are P are T/F, A
To E, I, O |
-E If T, F. If F, Unknown
-I If T, T. If False, Unknown -O Opposite |
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No S are P T/F, E
To others |
-A If T, F. If F, Unknown
-O If T, T. If False, Unknown -I Opposite |
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Some S are P T/F, I
To others |
-O If F, T. If T, Unknown
-A If T, Unknown. If F, F -E Oppostite |
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Some S are not P T/F, O
To others |
-I If F, T. If T, Unknown
-E If F, F. If T, Unknown -A Opposite |
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Can a prop be true if it doesn't exist?
Existential Import? |
-No, but if it is hypothetical, then yes
-If class has no members (unicorns), do not accept argument |
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What must be agreed upon for something to be statement
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-Verifibility or how you would verify it
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Moods?
Types of figures? |
-AEE, EIO, AIO, etc.
- M-P P-M M-P P-M S-M S-M M-S M-S |