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4 main branches of philosophy
logic,epistimology,metaphysics,ethics
logic
study of arguments
epistemology
the study of knowledge and belief
metaphysics
the study of the nature of reality
ethics
the study of right and wrong action
logical consistency
two statements are logically consistent if they can be true art the same time
contradiction
both asserting and denying that something is the case
argument
an attempt to show a certain statement or belief is true because it follows from other statements or beliefs
premise
a statement used to prove a particular claim is true
conclusion
the claim that an argument attempts to establish
truth
a statement that accurately reflects the way the world actually is
knowledge
justified true belief
affirming the consequent
if p then q, q, therefore p.
two kinds of justifications for knowledge
apriori, aposteriori
a priori
reason alone
aposteriori
justification that comes from sensory experience
deductive arguments
argument where the truth of the premises is supposed to guarantee the truth of the conclusion
inductive arguments
argument where the premises is supposed to make the truth of the conclusion more likely
valid
a deductive argument that has good form
sound argument
valid, deductive argument with only true premises
conditional statement
an if-then statement that combines independent claims
antecedent
if part of the conditional statement
consequent
then part of a conditional statement
if p then q, p, therefore q.
modus ponens
modus tollens
if p then q, not q, therefore not p.
invalid forms
affirming the consequent, denying the antecedent