The phrase "obtain between" is grammatically correct, but it is not commonly used in spoken or written English.
It is likely intended to mean "obtain in between," meaning to gain something that falls between two things, such as a certain range or time period. For example: "I have been trying to obtain a new job between my two current positions."
There are only so many kinds of hats, just as there are only so many relations that can possibly obtain between a father and a son.
Contradictories and contraries, in syllogistic, or traditional, logic, two basically different forms of opposition that can obtain between two categorical propositions or statements formed from the same terms.
Here it is important to remember that, in general, what science is in the business of explaining is not this or that particular event (or event token) but the regularities that obtain between different kinds of events (or event types).
A student of Cohen at Marburg, the metaphysician Nicolai Hartmann, became the harbinger of the realistic approach, elaborating in his Grundzüge einer Metaphysik der Erkenntniss (1921; "Outline of a Metaphysics of Knowledge") on an ontological relation that he discerned to obtain between two forms of being: thought and reality.
The very act of looking around is always and already performed within a set of fully elaborate assumptions complete with categories, definitions and rules that tell you in advance what kinds of things might be "discovered" and what relationships of cause and effect, contiguity, sameness and difference, etc., might obtain between them.
That is, independently of human cognition, what relations obtain between the epistemological and the metaphysical categories?
Tension or conflict can also obtain between doxastic obligations of a diachronic sort.
For consider again the causal relation alleged to obtain between God's willing and mine.
Davidson's own influential response to this argument was to distinguish between causal relations, which obtain between events no matter how they are described, and logical relations, which obtain between particular descriptions of events.
Many issues in the philosophy of science concern the nature of theories and certain relations that may obtain between them.
The relationships that obtain between development and evolution are complicated and under ongoing investigation (for a review, see Love 2015).
