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pragmatist comments on [Poll] Less Wrong and Mainstream Philosophy: How Different are We? - Less Wrong
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There are many different answers to this question. One common answer is that we should believe an object exists if a theory we accept quantifies over that object. If quantum field theory requires quantification over the integers then 2 (and other integers) exist. Since contemporary physics doesn't quantify over a domain containing phlogiston, phlogiston does not exist.
There's something wrong when smart people argue and disagree over a question when there are many different ideas as to what the words in the question actually mean...