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Deductive argument
a logical structure where true premises guarantee the truth of the conclusion
Where is the antecedent?
Premise 1: if a mushroom has brown gills, then it is safe to eat
Premise 2: this mushroom has brown gills
Conclusion: therefore it is safe to eat
Premise 1: if a mushroom has brown gills, then it is safe to eat
Premise 2: this mushroom has brown gills
Conclusion: therefore it is safe to eat
Where is the consequent?
Premise 1: if a mushroom has brown gills, then it is safe to eat
Premise 2: this mushroom has brown gills
Conclusion: therefore it is safe to eat
Premise 1: if a mushroom has brown gills, then it is safe to eat
Premise 2: this mushroom has brown gills
Conclusion: therefore it is safe to eat
Where is the hypothetical?
Premise 1: if a mushroom has brown gills, then it is safe to eat
Premise 2: this mushroom has brown gills
Conclusion: therefore it is safe to eat
Premise 1: if a mushroom has brown gills, then it is safe to eat
Premise 2: this mushroom has brown gills
Conclusion: therefore it is safe to eat
syllogism
a form of reasoning in which a conclusion is drawn from two given or assumed propositions
claim
premise
conclusion
deduction from premises
inference
move from premises to conclusion
law of thought
a basic principle of logic that describes the most fundamental rules that our thinking must follow if it is to make sense
law of non-contradiction
something cannot be A and non-A at the same time
truth
statements are either true or false, properties of individual statements only
validity
refers to the relationship between premises and conclusion,
property of argument,
refers to form of argument
an argument is valid when the conclusion necessarily follows from the premises
logical fallacy
a fallacy is a deficit in reasoning (intentional or unintentional)
soundness
entire argument
truth (of premises) + validity
property of deductive argument
argument that is valid with true premises
true and sound argument
argument that is invalid and/or has true premises
true and unsound argument
inductive argument
a) generalising from past to future
b) generalising from a restricted to an unrestricted number of cases
weak inductive argument
one in which the premises provide little support for the conclusion
cogent inductive argument
the premises are true and the inductive reasoning is strong
abduction
inference to the best explanation
three kinds of knowledge
Ability knowledge - knowing HOW
Knowledge by acquaintance - knowing OF
Propositional knowledge - knowing THAT
conditions under which we can say a person knows a fact. the conclusion from these.
We can only know things we’re certain about
We know a lot of things
The more you emphasise certainty in a, the less you actually know in b, the more you emphasise in b, the less knowledge is about certainty
belief
a thought which is about the world,
a mental representation claiming that something is the case
can be true or false
proposition
what a statement says or asserts about the world
can be true or false
fact
something that is the case in the world
cannot be true or false, it just is
truth
a correspondence between a belief or proposition and the world
the link between all three
four ways a definition cannot occur
Circular - "justice is what happens when just acts occur”
Negative - “a good act is one that is not wrong"
Obscure - “knowledge is a mental state characterised by noetic verisimilitude”
Ad hoc - “knowledge is a justified true belief that isn’t a weird counterexample" (ransom, no reasoning)
tripartite view
K=J+T+B
sufficient condition
guarantees the outcome
if you assume this you’ll get what you want
necessary condition
you can’t get what you want without assuming this
dispositional belief
knowledge you didn't know you had
the belief condition
a necessary condition for knowing that p is to believe that p
arguments that belief is not a necessary condition for knowledge
Knowledge + belief can be separated
Knowledge is more about responding correctly than a state of mind
Belief is fallible, knowledge is infallible - plato
coherence theory of truth
a belief or statement is true if it fits consistently and logically with a system of other beliefs we already accepted as true
correspondence theory of truth
a statement is true iff it corresponds with reality - a belief is true if what it says matches the way the world actually is
the justification condition
a necessary condition for knowing that p is for p to be justified
arguments that justification is not a necessary condition for knowledge
Justification is sometimes not necessary - someone can know something even if they can’t explain why they knew it or prove it with evidence
Time belief by inadequate evidence - unjustified true belief /=/ evidence - sometimes a person can know something even if their evidence or reasoning is weak or absent as long as their belief is true
Moore’s paradox
you cannot say that i know it is raining but i dont believe it
the truth condition
a necessary condition for knowing that p is for p to be true
the anatomy of a Gettier case
Justified - genuinely good evidence, nothing careless or irrational
True - the belief turns out to be true, but not for an expected reason
Luck - unexpected twist keans the belief is true ‘by accident’, disconnected from the original evidence
J + T + B with no proper connection between J and T = not K
entailment case
Smith and Jones case
disjunction definition and Gettier case
a statement ‘P or Q’ is true as long as one of ‘P’ or ‘Q’ is true
Smith and Jones and Brown case
perceptual Gettier cases
show JTB can be present without knowledge, even when the belief comes from seeing and no inference is made - no inferential tricks
Sheep in the field
Fake barn county
infallibilism
the view that knowledge requires absolute certainty
lemma
a belief or assumption that is held to be true and used to justify a piece of knowledge
finding the false lemmas in the Smith Jones Gettier case
P1: the company president has told Smith that Jones will get the job
P2: Smith has counted ten coins in Jones’ pocket
P3: Jones will get the job
C: therefore, the person who has ten coins in his pocket will get the job
finding the false lemma in the Smith and Jones and brown case
Jones owns a Ford
Gilbert Harman’s principle p
“reasoning that essentially involves false conclusions, intermediate or final, cannot give one knowledge”
argument against No False Lemmas theory
Broken clock theory - no false lemmas theory doesn’t work - no claim, just a clock
Essential Assumption
plays crucial role in making our evidence support our conclusion
who created the No Essential False Assumptions theory
William Lyon
process reliabilism
the view that a belief counts as knowledge if it is true and produced by a reliable process that usually leads to the truth - eternalist theory of knowledge
a person knows that p iff (according to reliabilism)
p is true
The believe p
Their belief was produced by a reliable cognitive process
example of reliabilism - Joe is making coffee
Belief - Joe is making coffee, I know Joe is making coffee iff
Joe is actually making coffee
I believe Joe is making coffee
My sense of smell and vision are working properly
new definition according to reliabilism
R+T+B = K
casual theory of knowledge
A person S knows that p iff
P is true
S believes that p
S’s belief that p is casually connected in the right way to the fact that makes it true
casually connected
connection between persons belief and it being true
argument against casual theory of knowledge
Fake barn county breaks this - there is a link - response is process reliabilism
argument against process reliabilism
Relevant alternatives - discrimination - who chooses what alternatives
Generality problem - every example of gaining knowledge from a reliable process is unique
sensitivity condition
if p were false, S would not believe p
Knowledge = your belief tracks the truth
does it work to replace J with R
J and R cannot be equated
Justifications are internal, involve conscious thoughts and can be explained by the subject
A reliable process doesn’t necessarily involve a conscious thought process
A person involved is a reliable process cannot necessarily tell you the process is reliable or explain it
Reliabilism is external to the belief
If one is internal the othe is external
arguments for process reliabilism
Accounts for animal knowledge
Have evolved to have reliable processes that help them find food and avoid danger