Fatalism and Tenseless time
When people say that that fatalism is true, they may have different
things in mind. For example, they might mean that events happen with
logical or metaphysical necessity, or even merely that events are determined
(determinism). However, here we follow Cahn's definition of fatalism
as the view that the laws of logic, by themselves, as sufficient
to show that nobody has free will. Of course, this requires
explaining what free will consists in. There are two views of the
nature of free will:
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agent causation, which entails the capacity to do otherwise than one does,
i.e. having the power to act differently than one does
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being able to do as one wants.
The sort of free will at issue here is agent causation.
A. Argument for fatalism:
Let t0, t1, and t2 be successive
times. Then:
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The tenseless view of time entails bivalence, i.e. that every statement
is either true or false, because in this view all events are 'eternally'
spread out in the dimension of time: they all coexist, although, of course,
they are not all simultaneous
NOTE: by contrast, the tensed theory of time is merely compatible
with bivalence. Hence, what follows may, but need not, apply to the
tensed view.
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Hence, "A sea battle takes place at t2" (P), uttered at t0
is either true or false at t0
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If P true at t0, then a sea battle takes place at t2;
if P false at t0, it does not.
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Hence, nothing can be done at t1 to change what happens at t2
because
what happens at t2 depends on the truth or falsity of P at t0,
and nothing can possibly happen at t1 to change the truth value
of P at t0. So, nobody at t1 has the power
to act differently than one acts at t2
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Hence, fatalism is true.
NOTE: therefore, if the argument is sound, it follows that if fatalism
is false, the tenseless theory is false.
B. Possible problems with the argument:
Problems with (2):
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A statement is not true or false at a date. Hence it isn't
true that P is true or false at t0; so, (4) is false because
P is not true earlier than t1.
Problem: P is a token, an utterance, and as such it is dated
(it must occur at a date). Hence, it must have its truth value at
that date, i.e., at the date it exists.
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Analyses of what makes P true at t0:
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P's truth at t0 depends on the relevant state of affairs at
t2 , the time it refers to. Hence, what happens
at t1 can affect what happens at t2, which is the
reason for P's truth or falsity at t0. So, (2-3) don't lead
to (4)
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P's truth at t0 depends on the relevant state of affairs at
t0, the time it is uttered at. Hence, the fact
that at t2 a sea battle takes place (or not) is the case
at t0. So, (2-3) do lead to (4)
Objections:
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Meta-facts (the fact that a fact is the case, or that an event occurs at
a date t) do not exist; we can say "it is a fact that fact F is the case,"
but we are just restating "fact F is the case."
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Meta-facts exist but not at any date, i.e. not in the B-series. If
so, there is no meta-fact at t0 making P true at t0.
Meta-facts are eternal in the sense specified below.
Reply: Merely ad hoc reply? What’s the independent
rationale for denying that meta-facts are in the time series?
Problem with (4):
(4) assumes that I cannot affect the past, not even in the sense
that the truth value of P is up to me. But that P is true (suppose)
is not a past event (which the direction of causation prevents me from
affecting) but a past fact that obtains because of future event,
which I can affect. Hence, A’s argument seems to confuse facts
(e.g. that P is true) with events (e.g. what makes P true).
C. Three types of eternity:
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Eternity1: sempiternity, i.e., existing at each time.
For example, the law of conservation of energy seems to entail that energy/mass
is eternal in this way.
NOTE: Detensers deny that sea battle or meta-fact about it are sempiternal.
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Eternity2: totally independent of time because a thing eternal
in this sense is not in time, doesn't exemplify temporal items, and doesn't
involve temporal items. For example, Augustine thought of God in
this way; probably Plato thought of Forms and their relations this way.
NOTE: Meta-facts involve temporal items (i.e. facts or events); hence,
they are not eternal2.
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Eternity3: dependent on time because it involves temporal items;
however, things which are eternal this way are not in time. For example,
meta-facts, including the fact that the whole B-series is the way it is,
are eternal3.
Objection: what reasons are there for introducing Eternity3,
apart from avoiding fatalism?
Cahn: Fate, Logic, and Time
While the best argument for fatalism depends on the tenseless view of
time, the classic arguments for fatalism, of which Aristotle's is the best
known, move from a tensed view of time, and take advantage of the fact
that bivalence is compatible with the tensed view of time, although it
is not entailed by that view.
A. An “Aristotelian” argument which is the tensed
version of the tenseless argument above:
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Every statement P must be either true, or, if not true, false (principle
of bivalence).
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P = “ a sea battle will take place tomorrow.”
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Hence, either P is true, or if not true, then false.
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So, it must already be true now that a sea battle will take place tomorrow
or false now that a sea battle will take place tomorrow.
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If it is true now that a sea battle will take place tomorrow, then nobody
can bring about that it might not; and if it is true now that a sea battle
will not take place tomorrow, then nobody can bring about that it might.
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Hence, the future is fated.
B. Aristotle’s (and Cahn's) solution is to reject bivalence:
propositions about the future contingents have truth value undetermined
(neither true nor false). Cahn distinguishes among three principles:
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non-contradiction: If P true, then not-P false, and if not-P true, then
P false.
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excluded middle (analytic): “P or not-P” is a logical truth (a tautology).
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excluded middle (synthetic or bivalence): P is true, or, if not true, then
false.
While (1)-(2) must be accepted, (3) can be rejected. Cahn proposes
a 3-valued logic in which:
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Propositions have 3 truth values: "true", "false" or "indeterminate".
In our case, propositions about future contingents have truth value "indeterminate".
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The Principle of non contradiction preserved because if P true, then not-P
false and viceversa. Hence, vacuously true of future contingents,
which are neither true nor false
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If P undetermined, then not-P indeterminate as well.
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The Principle of excluded middle (analytic) preserved because “P or not-P”
necessarily true (either the sea battle will occur or not).
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The Principle of excluded middle (synthetic) rejected b/ecause if P not
true, then not-P needn’t be false since P could be undetermined.
C. Consequences of the claim that I have free will (agent causation).
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Propositions change truth values because propositions about future contingents
are indeterminate today, but true (or false) the day after tomorrow.
Hence, the idea (Russell, Quine etc.) that truth values are unchanging
must be rejected.
NOTE: in particular while I can change the truth value of a proposition
about a future contingent (by mowing the lawn now I can change the truth
value of "I'll mow the lawn" from indeterminate to true), I cannot change
the truth value of propositions about the past.
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The extrinsic modalities of propositions (ex. falsifiability) change with
the passing of time: propositions about future contingents are falsifiable
but propositions about the past are not.
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The tenseless view of time must be rejected because propositions must change
truth value, and in the B series they cannot.
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The flow of time (as in the A series) is efficacious because it affects
the truth-value of propositions. Hence, time is real, contra McTaggart,
Augustine, etc.
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The future is different from the past because not only does it come later,
but it also contains possibilities which are not in the past.