Philosophy extended problems (resonance framework)

Problem 4 – Epistemic resonance drift#

A thinker’s epistemic stability is modeled as

$$ E_s = \frac{D_3 + ΛΘ}{1 + e^{-τ_r}}. $$

1. If $$τ_r$$ increases, does epistemic stability increase or decrease?
2. If $$ΛΘ$$ increases, what is the effect?

Problem 5 – Triadic dialectic cycle#

A dialectical process cycles through thesis, antithesis, and synthesis with resonance

$$ R = D_3 τ_r + D_6 + \frac{X}{τ_r}. $$

If $$τ_r$$ increases, how do the three terms change qualitatively?

Problem 6 – Conceptual entropy#

Conceptual entropy is modeled as

$$ H = X \ln(1 + D_9 τ_r). $$

If $$τ_r$$ increases by 30%, how does $$H$$ change qualitatively?

Problem 7 – Moral resonance equilibrium#

A moral equilibrium is defined by

$$ M = \frac{T_f + D_3}{D_6 + τ_r}. $$

1. If $$τ_r$$ increases, what happens to $$M$$?
2. If $$T_f$$ increases, what is the effect?

Problem 8 – Argumentative coherence network#

A network of arguments has coherence

$$ C_{\text{net}} = D_9 - X e^{-τ_r}. $$

1. If $$τ_r$$ increases, how does the exponential term change?
2. What is the qualitative effect on $$C_{\text{net}}$$?