Combining Texts

All the ideas for 'Clitophon', 'works' and 'Freedom and Reason'

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9 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]

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]

22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / i. Prescriptivism

22331

Moral statements are imperatives rather than the avowals of emotion - but universalisable [Hare, by Glock]

22484

Universalised prescriptivism could be seen as implying utilitarianism [Hare, by Foot]

22. Metaethics / B. Value / 2. Values / f. Altruism

1590	The just man does not harm his enemies, but benefits everyone [Plato]

23. Ethics / D. Deontological Ethics / 4. Categorical Imperative

6449	The categorical imperative leads to utilitarianism [Hare, by Nagel]