Combining Texts

All the ideas for 'Through the Looking Glass', 'works' and 'On Wisdom'

expand these ideas     |    start again     |     specify just one area for these texts

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8 ideas

1. Philosophy / A. Wisdom / 1. Nature of Wisdom

19396

Wisdom is knowing all of the sciences, and their application [Leibniz]

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]

11. Knowledge Aims / A. Knowledge / 1. Knowledge

19397

Perfect knowledge implies complete explanations and perfect prediction [Leibniz]