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Formal Sciences

Mathematics, logic, and information theory investigate abstract structures and necessary truths that exist independently of physical instantiation.

Key Arguments from Formal Sciences

  • Mathematical Realism: Mathematical objects exist independently of minds—but where? Theism locates them in the divine intellect.
  • Unreasonable Effectiveness: Why does abstract mathematics describe physical reality so precisely? Design explains this correspondence.
  • Gödel's Theorems: Formal systems cannot prove their own consistency—pointing to truths beyond mechanism.
  • Information as Fundamental: Physics increasingly suggests information is more fundamental than matter—'it from bit.'