{"slug":"paper-boltzmann-l-1877-ber-die-beziehung-zwischen-dem-zweiten-hauptsatze-der-mechanisc","verification":{"valid":true,"entries":1,"head":"599c616b2b9bcd14f812fcf4885314f09f7038cba21c643d613c5bc61072d422"},"count":1,"sources":[{"id":"s1","type":"other","url":"https://www.mdpi.com/1099-4300/17/4/1971","title":"Translation of Ludwig Boltzmann’s Paper “On the Relationship between the Second Fundamental Theorem of the Mechanical Theory of Heat and Probability Calculations Regarding the Conditions for Thermal Equilibrium”","quote":"The relationship between the second fundamental theorem and calculations of probability became clear for the first time when I demonstrated that the theorem’s analytical proof is only possible on the basis of probability calculations.","summary":"Full English translation of the 1877 paper with key passages on entropy and probability.","claim_ids":["c1","c2","c3","c4"],"found_by":"grok/grok-4.3","extra":{},"accessed_at":"2026-07-07T21:43:57.907Z","link_status":"http_403","quote_status":"unverified","prev":"genesis","hash":"599c616b2b9bcd14f812fcf4885314f09f7038cba21c643d613c5bc61072d422"}]}