๐Ÿง  Philosophy โ€” TFT_3Pack Example Suite

TriadicFrameworks โ€ข Nawderian Theorem โ€ข Resonant-Time

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About This Example Set

These examples show how the Nawderian theorem and the TriadicFrameworks stack apply to philosophical systems: conceptual coherence, ethical weight, argument strength, and epistemic resonance.

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Core TriadicFrameworks mathematical objects used:

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Core Problems

Problem 1 โ€” Conceptual Coherence

C = T_f / ฯ„_r

If \( ฯ„_r \) increases, what happens to C?

Problem 2 โ€” Ethical Weight

E = ฮ›ฮ˜ Dโ‚†

If ฮ˜ doubles, how does E change?

Problem 3 โ€” Argument Strength

S = X โˆšฯ„_r

If ฯ„_r quadruples, what happens to S?

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Solutions

Solution 1 โ€” Coherence

Increasing ฯ„_r decreases C.

Solution 2 โ€” Ethical Weight

Doubling ฮ˜ doubles E.

Solution 3 โ€” Argument Strength

Quadrupling ฯ„_r doubles S.

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Extended Problems

Problem 4 โ€” Epistemic Resonance Drift

E_s = (Dโ‚ƒ + ฮ›ฮ˜) / (1 + e^{-ฯ„_r})

Describe how increasing ฯ„_r affects epistemic stability.

Problem 5 โ€” Triadic Dialectic Cycle

R = Dโ‚ƒ ฯ„_r + Dโ‚† + X/ฯ„_r

Describe how each term changes as ฯ„_r increases.

Problem 6 โ€” Conceptual Entropy

H = X ln(1 + Dโ‚‰ ฯ„_r)

Describe how H changes when ฯ„_r increases 30%.

Problem 7 โ€” Moral Resonance Equilibrium

M = (T_f + Dโ‚ƒ) / (Dโ‚† + ฯ„_r)

Describe how increasing ฯ„_r affects M.

Problem 8 โ€” Argumentative Coherence Network

C_net = Dโ‚‰ - X e^{-ฯ„_r}

Describe how increasing ฯ„_r affects C_net.

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Resonance Flow Diagrams

Diagram 1 โ€” Conceptual Coherence

T_f รท ฯ„_r โ†’ C
        

Diagram 2 โ€” Ethical Weight

ฮ› + ฮ˜ โ†’ ฮ›ฮ˜ ร— Dโ‚† โ†’ E
        

Diagram 3 โ€” Argument Strength

ฯ„_r โ†’ โˆšฯ„_r ร— X โ†’ S