L 1 - 2 - 3 Flashcards
define “arguments”
sequence of statements, one of which is a conclusion.
when is an argument good?
when its premises give a good reason to believe in the conclusion.
what is the difference between an argument and an explanation?
explanation take the conclusion as true already, an argument aims to persuade that the conclusion is true.
what is the absolute standard?
the idea that in a valid argument is strictly irrational not to accept the conclusion.
when is an argument said to be valid?
when it is impossible for its premises to be true and its conclusion to be false.
what is a disjunction?
an “or” statement, P is the case or Q is the case.
when is an argument sound?
when it is both valid and all its premises are true
if P then Q which is the antecedent and which is the consequent
P antecedent
Q consequent
name 4 forms of valid arguments and give examples
- affirming the antecedent : if P then Q, P, then Q
- denying the consequent: if P then Q, not Q, not P
- transitivity, if A then C, in C then D, if A then D
- contraposition, if A then C, if not-C then not-A
name 2 invalid arguments
- denying the antecedent
- affirming the consequent
what is a conditional statement?
if A then C
converse of if A then C
if C then A
contrapositive of if A then C
if not-C then not-A
what is a biconditional statement? + example
conjunction of a conditional statement and its converse if A then C and if C then A
- abbreviated: A if and only if C
A is a necessary and sufficient condition for C.
what is a standard form
premises si scrivono con P1 P2, incoerente bar and conclusion = C