第一節 系統外公理之客觀上存在及法律上需求
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Section.1 The Objective Existence of Out-of-System Axioms and the Legal Demand therefor
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| 由歌德爾不完備定理可知人之邏輯有限，又由超越數數目可類推公理數目之無限不可數性，故理想國之生成，除我在〈科學革命宣言〉所謂「以遞迴更新方式無限逼近完備公理系統」外，別無他法。 |
Godel's incompleteness theorems show us the finitude of human logic, and the number of the transcendental numbers implies the uncountability of the number of axioms, so the Republic can be founded only by means of "infinitely approaching a complete axiom system by recursive updates," what I have said in Scientific Revolution Declaration. |
| 人之活動具有動態性，而保障多元性[1]之法規系統[2]將隨之更新，納入未收錄之公理，盡可能合法化之，使系統外多元性不因被視為違法而遭受殲滅，俾穩定人之活動。惟遇有新舊公理相互矛盾時，則須由後設系統[3]出面依比例原則衡平取捨之，若且唯若納入上開衡平取捨之理由於上開法規系統。 |
Human activities are dynamic, and a legal system[2] guaranteeing the variety[1] shall update itself along with them, accept the uncollected axioms, legalize them as possible, and save the out-of-system variety from being eliminated as deemed illegal, in order to stabilize human activities. However, when a new axiom is inconsistent with old ones, we shall request a metasystem[3] to make a balance or a choice between them according to the proportionality, that is, to accept the reasons of the balance or the choice into the legal system. |
第二節 關鍵威脅之阻卻
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Section.2 The Critical Threat Blocking
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| 新公理在生成後，在由常規後設系統[4]納入前開法規系統前，前開法規系統基於舊公理運作可能視上開新公理為違法而威脅殲滅之。此時臨時後設系統[5]如認定上開殲滅不符比例原則，則應發動緊急救濟。 |
After discovering a new axiom, and before accepting it into the legal system by the regular metasystem[4] specified by the legal system, the legal system working with old axioms is possible to deem the new axiom illegal, threatening to eliminate it. In this case, a provisional metasystem[5], if considers the threat is beyond the proportionality, shall launch an emergency remedy. |
| 緊急救濟在抵抗威脅時亦可能傷及舊公理，致生多元性之衡平取捨問題，故應依《逐項評論原則》分析上開威脅所涉及之引理、定理、公理等命題及其等對上開新公理之作用，俾確認關鍵威脅而有效阻卻之，並盡可能維持前開法規系統常規運作。 |
An emergency remedy, while resisting a threat, is also possible to hurt some old axioms, bringing on the problem about making a balance or a choice of the variety, so we shall analyze the propositions about the threat, such as the lemmas, the theorems and the axioms, and their effects on the new axiom according to Term-by-Term Comment Principles, in order to confirm the critical threat, to effectively block it, and to keep the regular function of the legal system as possible. |
第三節 革命主體內部左右派之先天共存必要及其間及時切換
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Section.3 The Necessity of the Innate Coexistence of the Left-wing and the Right-wing in a Revolutionary Subject and the Timely Switch between Them
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| 新公理雖可自成一格，但其無法脫離資源分配公理者[6]，如非經前開法規系統合法化納入，則必然萎靡至死，故其仍須在藉緊急救濟取得之短暫倖存期間內，與舊公理完成妥協而融合為新法規系統，蘊含上開新舊公理須自始相容。 |
Even if a new axiom can create its own system, if it cannot escape from the resource distribution axiom[6], and if it is not legally accepted by the legal system, it will certainly degenerate into death, so it shall still, while a temporary survival period given by an emergency remedy, reach a compromise with the old axioms, to form a new legal system, and this implies the new axiom is necessary to be innately consistent with the old ones. |
| 臨時後設系統即革命主體或其協助者，縱內建前開相容性，應至遲於前開新公理遭受殲滅前，經搜尋其內建命題清單發現相容命題，藉以重新設定前開新舊公理之維生閥值；逾暫時前開倖存期間不為上開重新設定者，法規系統將續行殲滅。 |
A provisional metasystem, which includes a revolutionary subject and its helpers, even if is built-in with the consistence, shall, before the new axiom is eliminated, search its built-in proposition list to discover a consistent proposition to reset life thresholds for the new axiom and of the old ones; if it fails to reset them within the survival period it, the legal system will continue the elimination. |
