Combining Texts

All the ideas for 'Through the Looking Glass', 'works' and 'The Mozi'

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10 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]
7. Existence / A. Nature of Existence / 3. Being / e. Being and nothing
21982 I only wish I had such eyes as to see Nobody! It's as much as I can do to see real people. [Carroll,L]
22. Metaethics / C. The Good / 1. Goodness / g. Consequentialism
23395 Mohists desire wealth, population and social order as the best consequences [Mozi, by Norden]
23. Ethics / B. Contract Ethics / 2. Golden Rule
23394 If people regarded other states as they did their own, they would never attack them [Mozi]
23. Ethics / D. Deontological Ethics / 3. Universalisability
23396 Mozi condemns partiality, which is the cause of all the great harms in the world [Mozi]
23397 Those who are against impartiality still prefer impartial protectors [Mozi]