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:

The sort of free will at issue here is agent causation.

A. Argument for fatalism:
 Let t0, t1, and t2 be successive times.  Then:

  1. 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

  2. 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.
  3. Hence, "A sea battle takes place at t2" (P), uttered at t0 is either true or false at t0
  4. If P true at t0, then a sea battle takes place at t2; if P false at t0, it does not.
  5. 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
  6. 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):

 Problem with (4): C. Three types of eternity:
  1. 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.

  2. NOTE: Detensers deny that sea battle or meta-fact about it are sempiternal.
  3. 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.

  4. NOTE: Meta-facts involve temporal items (i.e. facts or events); hence, they are not eternal2.
  5. 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.

  6. 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:

  1. Every statement P must be either true, or, if not true, false (principle of bivalence).
  2. P = “ a sea battle will take place tomorrow.”
  3. Hence, either P is true, or if not true, then false.
  4. 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.
  5. 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.
  6. 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:
  1. non-contradiction: If P true, then not-P false, and if not-P true, then P false.
  2. excluded middle (analytic): “P or not-P” is a logical truth (a tautology).
  3. 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: C. Consequences of the claim that I have free will (agent causation).