Categoricalism is the view that all fundamental natural properties are categorical — they have no nomic or causal essences. Categoricalism is explored as a conception of properties and as a basis for accounts of laws of nature. The commitment of categoricalism to quidditism is explained and criticized. Categoricalist accounts of the laws of nature — the regularity theory (and Humean supervenience) and nomic necessitation — are each shown in turn to face serious objections.
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