Combining Texts

All the ideas for 'works', 'works' and 'Modal and Anti-Luck Epistemology'

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8 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]

13. Knowledge Criteria / A. Justification Problems / 1. Justification / a. Justification issues

19729

'Modal epistemology' demands a connection between the belief and facts in possible worlds [Black,T]

13. Knowledge Criteria / A. Justification Problems / 2. Justification Challenges / b. Gettier problem

19728

Gettier and lottery cases seem to involve luck, meaning bad connection of beliefs to facts [Black,T]

22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / e. Human nature

22086

The most important aspect of a human being is not reason, but passion [Kierkegaard, by Carlisle]