Transcript Lecture XVI

LECTURE 16
THE MODAL
ONTOLOGICAL
ARGUMENT:
PRELIMENARIES
THE FAMOUS KANTIAN CRITICISM
“EXISTENCE IS NOT A PREDICATE (PROPERTY,
ATTRIBUTE)”
THIS WOULD IMPLY THAT PREMISE (2) OF
DESCARTES’ VERSION IS FALSE. PERFECTIONS
ARE SUPPOSED TO BE ATTRIBUTES.
FOR THE RECORD, I DO NOT THINK THAT THIS IS
A GOOD CRITICISM OF THE ARGUMENT. BUT
IT DOESN’T MATTER.
WE HAVE ALREADY SHOWN THAT
DESCARTES’ ARGUMENT IS DEFECTIVE
A REACTION TO KANT’S CRITICISM: NECESSARY
EXISTENCE IS AN ATTRIBUTE. SO WE CAN
REFORMULATE USING ‘NECESSARY
EXISTENCE.’
PROBLEM: THE RESULTING ARGUMENT STILL
HAS THE EQUIVOCATION WE CRITICIZED.
ANOTHER WAY OF CRITICIZING THE
ARGUMENT:
IF THIS ARGUMENT WORKED, SO WOULD ONE
WITH ‘NEGMOUNT’ –CF. VAN INWAGEN.
ANSELM’S ORIGINAL VERSION
THE MONK GAUNILO (A CONTEMPORARY OF
ANSELM) CRITICIZED ANSELM’S ARGUMENT
IN THE SECOND WAY: IF THE PROOF WORKS
FOR A PERFECT BEING, SO WOULD A PROOF
FOR THE EXISTENCE OF A PERFECT ISLAND.
BUT IT IS ABSURD TO THINK THAT A PERFECT
ISLAND EXISTS. SO SOMETHING IS WRONG
WITH ANSELM’S ARGUMENT.
OTHER CRITICISMS OF ANSELM’S
VERSION
FOR AN EXCELLENT CRITICAL
DISCUSSION OF ANSELM’S
ORIGINAL VERSION (AND KANT’S
CRITICISM’S) SEE ALVIN
PLANTINGA, GOD AND OTHER
MINDS
MODALITY
WE INTRODUCE THE PHILOSOPHICALLY USEFUL
IDEA OF A PROPOSITION.
A PROPOSITION IS THE SORT OF THING THAT IS
APPROPRIATE TO BE THE MEANING OF A
DECLARATIVE SENTENCE.
DIFFERENT SENTENCES IN DIFFERENT
LANGUAGES MAY EXPRESS THE SAME
PROPOSITION.
MOUNT EVEREST AGAIN
“MOUNT EVEREST IS 8000 METERS HIGH.”
“EL MONTE EVEREST ES OCHO MIL METROS DE
ALTURA”
“MOUNT EVEREST YN WYTH MILIWN METR
UCHEL.”
THESE THREE SENTENCES EXPRESS THE SAME
PROPOSITION, EACH IN ITS RESPECTIVE
LANGUAGE.
“POSSIBLE WORLDS”
A POSSIBLE WORLD MAY BE THOUGHT OF AS A
COLLECTION OF PROPOSITIONS COMPLETELY
DESCRIBING A WAY THE WORLD MIGHT HAVE
BEEN. THERE CANNOT BE A CONTRADICTION
OR IMPOSSIBILITY LURKING IN THE “STORY”
(OR “SCENARIO”).
POSSIBLE WORLDS ARE NOT OTHER PLANETS.
THEY ARE COMPLETE “HISTORIES” OF A WAY
THINGS MIGHT HAVE GONE.
A USEFUL HEURISTIC
WE MAY SAY THAT A PROPOSITION IS POSSIBLE
IF THERE IS A POSSIBLE WORLD “IN WHICH IT
WOULD BE TRUE.”
WE MAY SAY THAT A PROPOSITION IS
NECESSARY IF IT “WOULD BE TRUE IN EVERY
POSSIBLE WORLD.”
WE WILL USE “POSSIBLE WORLDS”
SPARINGLY
VAN INWAGEN’S EXPLICATION OF THE MODAL
ONTOLOGICAL ARGUMENT USES POSSIBLE
WORLDS EXTENSIVELY AND MAY BE DIFFICULT
TO FOLLOW.
WE EXPLAIN A VERSION WHICH IS A
DESCENDANT OF CHARLES HARTSHORNE
STATEMENT (EXTRA READING).
A VALID MODAL PRINCIPLE: “MODAL
MODUS PONENS (MMP)”
NECESSARILY, IF P, THEN Q.
POSSIBLY P.
POSSIBLY Q.
EXAMPLE
“NECESSARILY, IF TODAY IS THURSDAY, THEN
TOMORROW IS FRIDAY.
“IT IS POSSIBLE THAT TODAY IS THURSDAY.
HENCE, IT IS POSSIBLE THAT TOMORROW IS
FRIDAY.”
POSSIBLE WORLDS PICTURE
NECESSARILY, IF P, THEN Q. POSSIBLY P
POSSIBLY Q
P
IF P, THEN Q
IF P, THEN Q
IF P, THEN Q
IF P, THEN Q
IF P, THEN Q
Q
A LESS OBVIOUS MODAL PRINCIPLE:
S5
IT IS POSSIBLE THAT P IS NECESSARY. P IS
NECESSARY (S5)
EXPLANATION: IN SOME POSSIBLE WORLD, P IS
NECESSARY. BUT THE MODAL STATUS OF A
PROPOSITION (NECESSARY, POSSIBLE,
IMPOSSIBLE) IS THE SAME IN EVERY WORLD.
IT DEPENDS SIMPLY ON THE INTRINSIC
NATURE OF THE PROPOSITION.
POSSIBLE WORLDS PICTURE
NECESSARILY, P
(1) IT IS POSSIBLE THAT THERE BE A PERFECT
BEING.
[Premise]
(2) NECESSARILY, IF THERE IS SOMETHING THAT
IS PERFECT, THEN NECESSARILY THERE IS
SOMETHING THAT IS PERFECT. [Premise]
(3) IF IT IS POSSIBLE THAT THERE BE A
PERFECT BEING, THEN IS POSSIBLE THAT IT IS
NECESSARY THAT THERE IS A PERFECT BEING.
[From (2) by modal logic].