Temporal Relations

A temporal relation is a relation of earlier than or later than to a certain degree. These relations hold between propositional situations (think abstract states of affairs), which, if they are maximal, are times (note, I take situations to just be propositions, or arrangements of individual essences). A time is a maximal state of affairs that is present or that stands in an earlier than or later than relation to some other maximal state of affairs.

For information about temporal relations, see here.

Is Time a Dimension of Space?

A dimension of space is itself a spatial relation. By contrast, time is not a spatial relation. Time is the complex that contains all times standing in earlier than and later relations.

I have a couple reasons for thinking that the earlier than and later relations are not themselves spatial relations. First, spatial relations hold between substances, whereas temporal relations hold between propositional situations—like the situation in which dinosaurs roam the Earth. Second, spatial relations are symmetric, whereas earlier than and later than are asymmetric. Someone might reply that to the left of is an asymmetric spatial relation. My reply back is that to the left of is a three place relation, and it seems to me that earlier than is a two place relation: for example, the situation in which the dinosaurs roam the earth is earlier than the situation in which humans roam the earth. The asymmetry of the earlier than and later than relations is what grounds time’s arrow.

Presentism  

I used to have what some would call “eternalist” view. [Disclaimer: my views on this topic expressed next are presently in flux and do not completely reflect my current thinking.] But since then, I’ve become skeptical that “eternalism” is even intelligible. The same goes for “presentism.” Here’s why. I’ve come to think that ‘is’ expresses the relation of exemplification. If I say that John is tall, I’m saying that John exemplifies tallness. If I say that the Axiom of Choice is true, I’m saying of the proposition, the Axiom of Choice, that it exemplifies truth. That being the case, I don’t know what ‘is presently’ or ‘is timelessly’ express. If they express anything at all, what they express is simply the relation of exemplification. I’m not familiar with any other species of exemplification.

Now consider the proposition that dinosaurs roam the earth. Call this D. I’m inclined to think that D has the relational property of being earlier than any and every actual situation (true proposition). D exists and bears temporal relations to other situations. However, D is not itself true.

I’m tempted to say that eternalism is the view that every time is actual (that is, every propositional situation that is itself a time is true). But this seems to lead to what appears to me to be an absurdity: namely, that no substance can change from having a certain property to lacking it. For, if a substance could change from having a certain property to lacking it, and if all times are actual, then the substance would both have and lack that property, which is a contradiction. To avoid this contradiction, we must deny that any substance could change from having a property to lacking it. But I’m not willing to deny that.

Does that make me a “presentist”? I really don’t know. I suspect that those who call themselves ‘presentists’ would be more sympathetic to my views than those who call themselves ‘eternalists’ (or ‘growing [or shrinking] block theorists’).

The A-Theory of Time 

The A-theory of time considers ‘past’, ‘future’, and ‘present’ to be primitive terms. Or more metaphysically speaking, it’s a theory that says that the properties of being past, being future, and being present are not simple properties. They are not, for example, relational properties analyzable in terms of earlier than and later than.

I suggest that we can analyze the A-terms as follows:

(1) ‘x is present’ =def ‘x is true’ (or ‘x obtains’).

(2) ‘x is past’ =def ‘x is earlier than something that is present’.

(3) ‘x is future’ =def ‘x is later than something that is present’.

Timelessness

Given my analysis of ‘is’, ‘time’, and ‘present’ above, the sentence that ‘x is timeless’ expresses the proposition that x exemplifies not being true and not being earlier than or later than anything that is true. I very much doubt anything could exemplify that property. Thus, I doubt that anything could be timeless.

Truth Makers for Tensed Propositions

See the section on tensed propositions in Chapter 4 of my dissertation on propositions.

Missing your Mom

Suppose your Mom has died. But you miss her. That means you bear a relation of missing to your Mom, which in turn means that your Mom exists after all. But how can she still exist if she has died? I propose that what you miss, strictly speaking, is her presence, which is itself a situation. So, strictly speaking, you stand in a missing relation to a situation about your Mom—namely the situation in which your Mom is present. For a theory of how situations can be about things that do not exist, see Chapter 3 of my dissertation.

 

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