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Extra resources for A Course in Game Theory
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Intuitive examples of grounding can help to elucidate the notion. Consider, for example, the relationship that obtains between Socrates’s singleton—the set that only has Socrates as a member—and Socrates himself (see Fine , ), where Socrates’s singleton exists because Socrates exists. Grounding can be understood as a relation of metaphysical explanation, as emphasized by the ‘because’ in the previous sentence. g. Rodriguez-Pereyra : ; Correia )—we get a particular truth in virtue of the existence of the relevant truthmaker.
It stands in need of explanation why there are any derivative facts at all. Why aren’t there just the fundamental facts? Why are there battles, elephants, and novels, rather than just atoms and void? We often explain the notion of fundamental reality in intuitive terms by saying that all God had to do in order to create the world was fix the fundamental facts. It is in order to ask: if that’s all God did, why are there any further facts? 33 If there are fundamental laws of metaphysics of the sort we have described, then an answer can easily be given.
Asymmetry therefore guarantees grounding only goes one-way, and thus allows that entities can be related in linear chains of grounding. 4 Acceptance of both well-foundedness and asymmetry leads to what can be considered the orthodox position in the debate over metaphysical structure: metaphysical foundationalism. Foundationalists hold that grounding chains terminate in one or more fundamental entities, and as we move up the chain from the fundamental we encounter entities that can be considered increasingly derivative.