Combining Philosophers

All the ideas for Anaxarchus, Charles Taylor and Gerhard Gentzen

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24 ideas

5. Theory of Logic / A. Overview of Logic / 2. History of Logic
11022 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
11065 The inferential role of a logical constant constitutes its meaning [Gentzen, by Hanna]
11023 The logical connectives are 'defined' by their introduction rules [Gentzen]
11213 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
13832 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
10067 Gentzen proved the consistency of arithmetic from assumptions beyond arithmetic [Gentzen, by Musgrave]
13. Knowledge Criteria / D. Scepticism / 1. Scepticism
3061 Anaxarchus said that he was not even sure that he knew nothing [Anaxarchus, by Diog. Laertius]
16. Persons / A. Concept of a Person / 4. Persons as Agents
4020 The modern self has disengaged reason, self-exploration, and personal commitment [Taylor,C]
16. Persons / B. Nature of the Self / 2. Ethical Self
4002 My aim is to map the connections between our sense of self and our moral understanding [Taylor,C]
16. Persons / E. Rejecting the Self / 3. Narrative Self
4006 I can only be aware of myself as a person who changes by means of my personal history [Taylor,C]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / b. Defining ethics
4003 Selfhood and moral values are inextricably intertwined [Taylor,C]
23. Ethics / C. Virtue Theory / 3. Virtues / e. Honour
4021 Willingness to risk life was the constitutive quality of the man of honour [Taylor,C]
23. Ethics / C. Virtue Theory / 3. Virtues / h. Respect
4005 To have respect for people, you must feel their claims, or their injustices, or hold them in awe [Taylor,C]
23. Ethics / D. Deontological Ethics / 4. Categorical Imperative
4004 Consistency presupposes intrinsic description [Taylor,C]
23. Ethics / E. Utilitarianism / 1. Utilitarianism
4010 In later utilitarianism the modern stress on freedom leads to the rejection of paternalism [Taylor,C]
24. Political Theory / B. Nature of a State / 2. State Legitimacy / c. Social contract
22809 The social contract sees society as constituted by and for individuals [Taylor,C]
24. Political Theory / D. Ideologies / 7. Communitarianism / a. Communitarianism
22811 Assigning a right based on a human capacity implies that the capacity should be developed [Taylor,C]
22815 If freedom depends on society and culture, the greatest freedom is in shaping them [Taylor,C]
24. Political Theory / D. Ideologies / 7. Communitarianism / b. Against communitarianism
22814 Our reliance on other people close to us does not imply any political obligations [Taylor,C]
25. Social Practice / C. Rights / 1. Basis of Rights
22810 A right is not just a rule, but also asserts certain ideas of moral worth [Taylor,C]
22812 For most people the primacy of rights mainly concerns freedom [Taylor,C]
25. Social Practice / C. Rights / 4. Property rights
22813 Property is not essential for life, but it may be essential for independence [Taylor,C]
25. Social Practice / E. Policies / 3. Welfare provision
23417 If the state is neutral, there won't be sufficient community to support a welfare state [Taylor,C, by Kymlicka]
28. God / A. Divine Nature / 6. Divine Morality / d. God decrees morality
4009 Nominalists defended the sovereignty of God against the idea of natural existing good and evil [Taylor,C]