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epistemology
study of knowledge
three types of knowledge
1. know-how
2. object knowledge
3. propositional knowledge
**if you have one you don't necessarily have all three
know-how knowledge
ex. I know how to play guitar
object knowledge
ex. I know John
propositional knowledge
ex. I know that 2 + 2 = 4
conditions for a good definition
1. necessary
2. sufficient
biconditional
X if and only if Y
(X c Y) ^ (Y c X)
*stands and falls together
TRUE OR FALSE: Plato says true belief is sufficient for knowledge
FALSE! Plato says true belief is NOT enough; we need to justify (justification = objective)
JTB Theory of Knowledge
Knowledge is justified true belief (JTB for short)
1) s must believe p
2) p must be true
3) s must be justified in believing p
Counterexamples to JTB
1. Edmund Gettier - we can have a justified belief and be wrong
2. Bertrand Russel - broken clock is right twice a day
3. Sober - odds say lottery ticket won't win
Does justification require infallible evidence?
Sober says no, evidence can justify belief even if truth is not guaranteed
says JTB isn't sufficient for knowledge
Skepticism argument
if S knows P, then S is not mistaken in belief
it's possible S is mistaken
therefore, S does not know P
Descartes Foundationalism
Knowledge must be built upon a foundation that is completely certain or "indubitable" (can't be doubted)
anti-Aristotelianism
- movement against Aristotle's teachings as they were supported by the church
- those against Aristotle's teachings could be labeled as a heretic
Euclid
Greek mathematician; considered to be the father of modern geometry
axiom - Descartes
foundational belief - self-evident and does NOT count as knowledge
Descartes task and goal
task - identify all foundational beliefs and if they can be doubted; if not, then yes its foundational
goal - refute skepticism
posterioiri propositions
known by expereince
Thesis of Incorrigibility of the Mental
Descartes: each of us has infallible access to our beliefs and desires (so we can't be wrong about them)
Freud and others dispute this (say people lie)
a priori propositions
prior to experience (reason alone)
can you doubt the phrase "I am thinking" or "I exist"
indubitable proposition
Descartes said no, believing/doubting makes it true
properties of "I think"
1. first person
2. involves psychological property (property of mind)
Cognito Ergo Sum
I think therefore I am
can you doubt "I saw Rob walking"
dubitability
yes - to make it better, say, "I seem to remember Rob walking"
1. foundational beliefs
2. superstructure beliefs
1. "I think" "I exist" - first person subjective belief/desire
2. outside world, objective
how do I get from foundational beliefs to superstructure beliefs
idealism, solipsism
Descartes's solution: show God exists and he doesn't deceive
Descartes proof God exists
p1. my idea of God is a perfect being (introspection, can't doubt)
p2. must be as much perfection in the cause as the effect
c. God exists
Cartesian Circle claim
Descartes's proof that God exists and is not a deceiver is circular
two causality principles
1. every event has a cause
2. cause must be at least as perfect as the effect
Descartes two kinds of perfection
1. objective: if we represent God, but our idea has a limit to perfection
2. formal: all mental content has the same amount of perfection
revised argument for Gods existence
p1. my idea of God is objectively perfect
p2. if idea is objectively perfect, then cause of it must be perfect being
c. God exists
two types of skepticism
1. Descartes - How your present mental state justify your beliefs about your physical environment
2. Hume - How predictions about the future are justified, given the past and present observations you have made about your physical environment
two kinds of arguments
1. GEN -
p1. all A's observed so far have been B
c. all A's are B's
2. PRED -
p1. all A's observed so far have been B
c. the next A I observe will be B
matters of fact
can be
1. observed (it's right there) or
2. unobserved (it will happen)
PUN
Humes principle of uniformity of nature:
the future will resemble the past
Yes or no: Can PUN be justified by an inductive argument?
no - according to Hume
three justification for PUN
1. induction
2. conclusion of a deductively valid argument
3. definitional truth
Hume says none of these can rationally justify PUN
Hume's solution to problem if induction
Instead of providing a justification of induction, Hume describes our use of inductive inferences
three requirements for PUN
1. something we believe
2. gives us definite advice about what we should infer from observations
3. to make inductive arguments, PUN us something we must believe, no matter what else we believe
Rules of inference provide __________ that allow us to draw conclusions
licenses
Strawson's response to Hume's reformed argument
analytic; denies that induction needs rational justification; it's true by definition - induction being rational doesn't imply reliable
Black's response to Hume's reformed argument
inductive; says inductive justification of induction isn't circular
circular argument
conclusion is also a premise - has to have exact same wording
inductive inference
p1. induction has been highly reliable
c. probably, induction will be reliable in the future
counterinductive
p1. counterinduction has been unreliable in the past
c. probably, counterinduction will be RELIABLE in the future
Bayesian Epistemology
formal way to define evidence, confirmation, and rational belief
confirmation theory
Attempted to analyze the acquisition of knowledge from experience - update with new evidence as you got it
3 axioms
non-negativity: Pr(x) greater than or equal to 0 for all subsets x
normalization: Pr(Ω) = 1
finite possibility: Pr( A or B) = Pr(A) + Pr(B) if A & B are mutually exclusive
conditional probabilities
if... then ...
standard definition: [Pr (a&b)] / Pr (b) = Pr (a|b) is probability of a given b
ex. probability of rolling a 6 is the die is guaranteed to be even
[Pr (6 | even) / Pr (even) = Pr (6)/Pr (even) = [1/6] / [3/6] = 2/6 = 33%
(A|B) is undefined if ...
1. Pr (B) = 0
2. A or B are undefined
3. events are measured sets
Hume's problem of induction
It suggests that we can't logically prove that the future will resemble the past, even though it seems intuitively reasonable.
Conditionalism
how we learn from experience - we should update how likely our hypothesis is with new evidence
find a way to calculate Pr(H|O) as a function of Pr(H)
Pr(H|O) = [Pr(H&O)] / Pr (O)
Reverend Thomas Bayes
Doctrine of Chances - probabilities evolve over time
Bayes Theorem
since Pr(A&B) = Pr(B&A), (A|B)(B) = (B|A)(A)
Confirmation
Observation O confirms hypothesis H if and only if
Pr(H|O) > P r(H)
Disconfirmation
Observation O disconfirms hypothesis H if and only if
Pr(H|O) < P r(H)
Independance
Observation O is evidentially irrelevant hypothesis H if and only if
Pr(H|O) = P r(H)
Bayesian Updating
1. determine probability of hypothesis and likelihood of evidence
2. determine probability to observe evidence independent of hypothesis
3. if evidence is observed, use theorem to calculate probability
repeat 1-3 for each piece of new evidence
Odds Formulation of Bayes's Theorem
[Pr(H1|O)] / [Pr(H2|O)] = [Pr(O|H1) Pr(H1)] / [Pr(O|H2) Pr(H2)]
base rate fallacy
The tendency to ignore information about general principles in favor of very specific but vivid information.
Principle of indifference
In the classical theory of probability, the principle that the various possible outcomes are equally probable.
an objection to Bayesianism
Dutch book theorem
A result in probability theory stating that inconsistent probabilities create profit opportunities.
ancient Greeks said three types of love
1. eros - sexual passion for person/object
2. agape - love doesn't respond to values - brotherly live independent of characteristics
3. philia - affectionate friendly feeling - responds to value, ex. love of country
love vs. like
love has depth: loving someone is identifying yourself with them
what is love (Aristotle)
it promotes self-knowledge, a kind of mirror
epistemology questions of love
what justifies loving and not loving?
what justifies loving one person and not others?
what justifies continuing to love someone?
problems with questions of love
if justification is based off reason, then anyone with the same traits we should love just as much.
loving someone in the past doesn't justify loving them in the future
Greeks base love on these two things
education and patience
Idealism of love
there is one perfect soulmate with perfect compatibility
criticism - illusion that we already know each other and shouldn't change
why will we marry the wrong person (Alain De Botton)
we don't associate love with being happy
we seek familiarity (childhood)
what's the solution
become at peace with being alone (heroic acceptance)
how to be better in relationships
start with what is wrong with each other, no idealism
no conflict-free love
don't be self-righteous
what is marriage in this article?
"gamble taken by two people who don't know themselves or each other, without thinking of the future"
why do people marry
to make nice feelings permanent
what does Button say "make or break" marriaige
the day-to-day things - who will take our trash