Implications for God, Materialism, Determinism, Free Will and Time based on "Logical Entropy" by Manfredi Giovanni 2022 & Partition Logic by Ellerman:
Hey everyone,
I want to ask about Giovanni Manfredi's 2022 paper on logical entropy and negative probabilities, and how it connects to David Ellerman's work on partition logic.
Ellerman he showed that partition logic (the math of making distinctions) is the exact structural mirror of classical Boolean logic (subsets).
I guess Manfredi then used Ellerman's logic to show that if you preserve logical entropy over time, the laws of quantum mechanics literally derive themselves.
I am trying to figure out how this impacts our philosophical and theological views as Christians:
  1. Materialism and Nominalism: If reality at its base is made of abstract logical distinctions (information) instead of physical stuff, does this kill materialism and nominalism? Does it point directly to Ontic Structural Realism or Idealism?
  2. Time and Determinism: Because partition logic treats quantum superpositions as states of objective indefiniteness rather than hidden physical facts, does this give us a solid mathematical foundation for an A-theory of time where the future literally does not exist yet?
  3. God's Nature: Classical theology like Aquinas works says God is pure actuality and totally unchangeable. But under this logical entropy framework, does it make more sense to view God as having potentiality? Could God be conceptualized as the ultimate unpartitioned state, so the absolute ocean of potentiality from which reality is carved, rather than a static "unchanging" object?
  4. Christian Creation: Genesis describes creation as dividing and separating, assinging order & function (light from dark, water from land). Since this framework models reality as drawing partitions out of indefiniteness, does this fit the biblical text? Does it push us toward panentheism where God actively sustains the quantum code?
  5. The Multiverse: Since Manfredi's math relies on negative probabilities, does this show that parallel branches (like in Many-Worlds) aren't actual physical clone universes, but exist strictly as mathematical unactualized(?) potentials?
Would love to hear your thoughts, especially on how Ellerman's partition logic reshapes our metaphysics!
(Quick disclaimer; im not a math guy. So i dont fundamentally understand the mathematical claims/ raw equations of Giovanni, however i think i more or less understand what it implies.)
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Lennart van Dorsten
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Implications for God, Materialism, Determinism, Free Will and Time based on "Logical Entropy" by Manfredi Giovanni 2022 & Partition Logic by Ellerman:
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