Logic Flashcards
(34 cards)
&
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)