Combining Texts

All the ideas for 'On Duties ('De Officiis')', 'Probability and Logic of Rational Belief' and 'works'

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9 ideas

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

21405

Cicero sees wisdom in terms of knowledge, but earlier Stoics saw it as moral [Cicero, by Long]

1. Philosophy / A. Wisdom / 2. Wise People

20871

Unfortunately we choose a way of life before we are old enough to think clearly [Cicero]

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]

5. Theory of Logic / L. Paradox / 4. Paradoxes in Logic / e. The Lottery paradox

6368	If my ticket won't win the lottery (and it won't), no other tickets will either [Kyburg, by Pollock/Cruz]

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]

23. Ethics / D. Deontological Ethics / 3. Universalisability

6031	The essence of propriety is consistency [Cicero]