Logic Flashcards
&
Conjunction
V
Disjunction
->
Conditional
~
Negation
If and only if (three bars)
Biconditional
- A
- B
———
A&B 1,2 &I
Conjunction Introduction
DM
~(A&B) -> ~Av~B
DeMorgan’s Law
- C
———
CvD 1, vI
Disjunctive Introduction
- A&B
———
A 1, &E
Conjunction Elimination
- RvS
- ~S
———
R 1,2 vE
Disjunctive Elimination
Av(G&H)
(AvG) & (AvH)
Distribution
- R->U
- R
———
U 1,2 -> E/MP
Conditional Elimination/Modus Ponens
1.R->U
2. ~U
———
~R 1,2 MT
Modus Tollens
(CvD)
(~C->D)
Material Implication
->I
Conditional Introduction
A&B
|
V
B&A
Commutative Property
A&(B&C)-> A&B&C
Associative Property
To prove a point by making resource to force if the other person does not accept their conclusion
Argumentum ad baculum (appeal to force)
Appeals are made to popular attitudes instead of logic
Argumentum ad populum (appeal to the people)
An attack on an opponent’s character instead of the argument
Ad hominem
Point out the speaker’s hypocrisy
Tu quoque
Rather than proving a casual relation between two things, you believe the order of events is enough to prove causation
Post hoc (after this, therefore because of this)
Appealing to a person of authority rather than providing a logical argument
Ad verecudiam (appeal to authority)
Appealing to the fact that no evidence exists for or against something
Argumentum ad ignorantium (appeal to ignorance)
Misconstruing the speaker’s argument
Straw man (missing the point)
The conclusion is asserted in the premises
Begging the question
Ask a question which has a built in assumption
Complex question
The claimant always has the duty to provide proof for what he is saying
Burden of proof
Assume that a property of individual parts can also be assigned to the whole
Composition
Wrongly transfer a property of the whole to each of its individual components
Division
When you justify your argument by appealing to sentiments and evoking pity
Appeal to pity
When an argument employs a word in an ambiguous manner, providing it with one meaning in a certain portion of the argument while using a different meaning in another
Equivocation
When a sentence has an ambiguous structure leading to multiple interpretations
Amphiboly
Typically argues that a seemingly acceptable initial proposition can lead through a sequence of small logical steps to an objectionable or absurd conclusion
Slippery slope