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Aesthetics
Beauty
Epistemology
Knowledge
Ethics
Value
Logic
Arugments
Metaphysics
Reality
Ancient
600 BC - 300 AD
Medieval
300 - 1500
Modern
1500 - 1900
Contemporary
1900 - Present
Arugment
a group of claims, one of which is supported by the others
Premises
claims intended to support another claim (the conclusion)
Conclusion
is a claim intended to be supported by other claims (the premises)
Deductive Argument
arguments with premises that are intended to guarantee* the truth of their conclusions
Inductive Arguments
arguments with premises that are intended to show that their conclusions are probably* true
Valid arugment
is a deductive argument with premises that do, in fact guarantee the truth of its conclusion
An argument is valid if and only if
if its premises are true, then its conclusion must be true
invalid argument
is a deductive argument with premises that not, in fact, guarantee the truth of its conclusion
Sound argument
is a valid argument with only true premises
the conclusion of a sound argument must be true
Modus Ponens
If P, then Q.
P.
Therefore, Q.
Modus Tollens
If P, then Q.
Not Q.
Therefore, not P
Hypothetical Syllogism
If P, then Q
If Q, then R
Therefore, if P, then R
Disjunctive Syllogism
Either P or Q
Not P
Therefore, Q
law of non-contradiction
no proposition can be both true and false.