Combining Texts

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

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9 ideas

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

19735

Wisdom has a higher value than understanding, which has a higher value than knowledge [Greco]

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]

13. Knowledge Criteria / A. Justification Problems / 1. Justification / b. Need for justification

19734

If value is practical, knowledge is no better than true opinion [Greco]

13. Knowledge Criteria / C. External Justification / 10. Anti External Justification

19733

Externalist theories don't explain why knowledge has value [Greco]