The Facts in Logical Space

Abstract

Abstract This book develops and defends in detail a factalist ontological picture, according to which reality’s ultimate constituents are structureless atomic facts. The existence (or appearances as) of non-facts are ultimately grounded in a system of quasi-geometric relations that the facts participate in. Axioms for this quasi-geometric system are given, and a representation theorem is proven. It establishes that if the facts satisfy the axioms, then they have a unique (up to isomorphism) ‘object-and-property’ representation: each fact can be thought of as though it were made up of individuals and properties (or relations), even though it is not. The metaphysical picture also makes room for an attractive combinatorial modal theory, according to which possibilities are simply collections of (possible) facts.

Cite this work

No public copy is stored for this record, so only the metadata is cited.

Stored only when both papers are in the corpus — 46 citations exist upstream.

Papers that cite the same references — the relational fallback while embeddings are still backfilling.