Scale turns possible into operationally never
Estimate the number of ideal-gas molecules in a room and the probability that every molecule occupies one specified half under the lecture’s simplified binary model.
Assumptions: ideal gas, ordinary pressure and temperature, two equal halves, independent left/right occupancy and a deliberately coarse macro-description. This is a teaching calculation, not a complete molecular simulation.
Remove the divider
Eighty particles begin on the left. Remove the divider and watch occupancy fluctuate around the overwhelmingly larger near-even region.
The divider constrains all particles to the left. Removing a constraint increases the accessible state space.
Homeostatic resilience
Change response speed, repair capacity and reserve. The graph shows how the same stress can lead to full recovery, delayed recovery or a permanently lower baseline.
State, rate and reserve
Two people can have the same state today and radically different futures. Model burden, rate of change and a failure threshold.
Illustrative units only. This model teaches trajectory and timing; it does not calculate personal disease risk.
The hallmarks network
Select a hallmark to reveal its role, common feedback partners and the kind of intervention that might target it.
Particle-years
Compare cumulative ApoB exposure under an unchanged trajectory versus earlier treatment. This is area-under-the-curve arithmetic—not an event-risk calculator.
“Particle-years” is a useful conceptual shorthand for cumulative ApoB burden. Actual ASCVD risk also depends on susceptibility, blood pressure, smoking, Lp(a), diabetes, kidney disease and existing plaque.
From purpose to proxy
Describe a system’s stated purpose, the proxy it rewards and the external cost it fails to price.
Pattern completion
Select a stored pattern, add noise, then recover the nearest attractor. The implementation uses nearest-pattern completion to teach the Hopfield intuition; it is not a complete neural simulation.