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Some A Theorists believe that there are crucial ontological differences between time and the dimensions of space.
There is another important respect in which some (but not all) A Theorists believe time to be unlike the dimensions of space.
For some A Theorists also endorse a view known as "Presentism," and others endorse a view that we will call "The Growing Universe Theory".
Option (2) seems like a promising approach for A Theorists, but A Theorists who opt for this line are faced with the task of giving some account of just what the theory of relativity does entail with respect to absolute simultaneity.
For example, some discussions frame the issue in terms of a question about the reality of tense (roughly, the irreducible possession by times, events, and things of genuine A properties), with A Theorists characterized as those who affirm the reality of tense and B Theorists characterized as those who deny the reality of tense).
As in the case of the disputes between A Theorists and B Theorists, on the one hand, and Presentists and Non-presentists, on the other hand, the 3D/4D controversy is part of a general disagreement among philosophers of time concerning the degree to which time is dissimilar from the dimensions of space.
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Presentist A-theorists, like Prior 1998, deny that the past or future have any concrete reality.
The second move works given an A-theory, but has a consequence A-theorists may not like.
More generally, A-theorists often incorporate strategies from modal metaphysics into their theories about the relation of the past and the future to the present.
A-theorists say that our ordinary picture of the world as tensed reflects the world as it really is: the passage of time is an objective fact.
Other A-theorists, like Sullivan (2012), hold that the present is metaphysically privileged but deny that there is any ontological difference between the past, present, and future.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com