Empirical equivalence
: Two (or more) beliefs (hypotheses, theories) are empirically equivalent if and only if whatever justifies one to some degree also justifies the other to the same degree. (in other words, one of them can never be better justified than the other)Underdetermination
: Two (or more) beliefs (hypotheses, theories) are underdetermined if and only if they are empirically equivalent and they cannot be both true (i.e., they are incompatible).Phyrro's Principle
: If two (or more) beliefs (hypotheses, theories) are justifed to the same degree, neither is adequately justifed (for knowledge).Example
: Think of one of the familiar ways a defense attorney can defend her client, say John, in court. Let us say that the client is charged with murder, and that the prosecutor provides the jury with a bunch of evidence. Now, the prosecutor claims that the evidence justifies the hypothesis that the John is the killer. But, if the defense attorney can demonstrate that the same evidence justifies the hypothesis that someone else, say Harry, is the killer to the same degree, this is considered to be an adequate defense. Here is how the defense attorney's argument will go:
(1) The two hypotheses (H1= John is the killer; H2=
Harry is the killer) are underdetermined.
The point to remember is that the skeptical argument
proceeds exactly in the same manner!
(2) If If H1 and H2 are justifed to the same degree,
then neither is adequately justifed. (from Phyrro's
Principle)
\ (3) Neither H1 nor H2 are adequately justified.
(4) Knowledge requires an adequate level of justification
(from the definition of knowledge).
\ (5) We (including the jury) do not know that H1 is
true (on the basis of the evidence available to us).
H1 = I am having these experiences because there are
tables and chairs (and no Evil Demon) that are causing
me to undergo these experiences.
H2 = I am having these experiences because there is
a very powerful Evil Demon ( and no tables and chairs)
that is causing me to undergo these experiences.
The skpetic claims that H1 and H2 are empirically equivalent
given the kind of evidence a person can have. Since,
obviously, they cannot be both true, we get premise
(1), and the rest of the argument:
(1) The two hypotheses H1 and H2 are underdetermined
(given the kind of evidence a person can have.
The
(2) If H1 and H2 are justifed to the same degree, then
neither is adequately justifed. (from Phyrro's Principle)
\ (3) Neither H1 nor H2 are adequately justified.
(4) Knowledge requires an adequate level of justification
(from the definition of knowledge).
\ (5) We do not know that H1 is true (on the basis of
the evidence available to us).
\ (6) We do not know that there are tables and chairs
(in other words, we do not know that the world outside
of our own mind is the way we believe it to be).
John is justified in his belief that p (say, that the roses have bloomed) if and only if: John's belief (that the roses have bloomed) is produced by (caused by, generated by, is a result of) the operation of a highly reliable belief producing mechanism in John.
Most reliabilists would say that a belief producing mechanism is highly reliable if the mechanism produces true beliefs a high percentage of the time. Examples of belief producing mechanisms that are candidates for being highly reliable are: perceptual mechanims (seeing, hearing, etc.)--examples of belief producing mechanisms that are not very good candidates for being highly reliable are: long-term memory, gut-feelings, consulting the astrology column of a newspaper.
At this point, the externalist/reliabilist has the following
answer to skepticism: Assume that the world is as
H1 says it is (there are tables, chairs, etc.) This
would make H1 a true belief. In addition, if H1 is
also produced in those people who believe it by a relaible
belief producing mechanism (and remember, the externalist
does not require you to know that it is produced that
way), H1 will also be justified. Being a justified
true belief, it will constitute knowledge.
One last example