Combining Philosophers

All the ideas for Zoroaster, Gerhard Gentzen and Mengzi (Mencius)

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19 ideas

5. Theory of Logic / A. Overview of Logic / 2. History of Logic
Gentzen introduced a natural deduction calculus (NK) in 1934 [Gentzen, by Read]
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives
The inferential role of a logical constant constitutes its meaning [Gentzen, by Hanna]
The logical connectives are 'defined' by their introduction rules [Gentzen]
Each logical symbol has an 'introduction' rule to define it, and hence an 'elimination' rule [Gentzen]
5. Theory of Logic / H. Proof Systems / 4. Natural Deduction
Natural deduction shows the heart of reasoning (and sequent calculus is just a tool) [Gentzen, by Hacking]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic
Gentzen proved the consistency of arithmetic from assumptions beyond arithmetic [Gentzen, by Musgrave]
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
If the King likes music then there is hope for the state [Mengzi (Mencius)]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / e. Human nature
Human nature is naturally compassionate and good (as a 'sprout'), but people may not be good [Mengzi (Mencius), by Norden]
22. Metaethics / B. Value / 1. Nature of Value / f. Ultimate value
Righteousness is extending the unthinkable, to reveal what must be done [Mengzi (Mencius)]
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
Each correct feeling relies on an underlying virtue [Mengzi (Mencius)]
23. Ethics / C. Virtue Theory / 3. Virtues / e. Honour
Should a coward who ran fifty paces from a battle laugh at another who ran a hundred? [Mengzi (Mencius)]
24. Political Theory / C. Ruling a State / 2. Leaders / b. Monarchy
A true king shares his pleasure with the people [Mengzi (Mencius)]
24. Political Theory / D. Ideologies / 7. Communitarianism / a. Communitarianism
Extend the treatment of the old and young in your family to the rest of society [Mengzi (Mencius)]
25. Social Practice / D. Justice / 3. Punishment / b. Retribution for crime
Only put someone to death if the whole population believes it is deserved [Mengzi (Mencius)]
25. Social Practice / E. Policies / 1. War / e. Peace
Seeking peace through war is like looking for fish up a tree [Mengzi (Mencius)]
25. Social Practice / F. Life Issues / 6. Animal Rights
Avoid the animals you are going to eat, as it is hard once you have got to know them [Mengzi (Mencius)]
29. Religion / B. Monotheistic Religion / 1. Monotheistic Religion
Zoroaster and the Hebrew prophets evolved different versions of monotheism [Zoroaster, by Armstrong,K]
29. Religion / B. Monotheistic Religion / 3. Zoroastrianism
Zoroastrianism saw the world as a battle between good evil gods [Zoroaster, by Harari]
Zarathustra was the first to present a god who is an abstract concept [Zoroaster]