Combining Texts

All the ideas for 'Subjectivist's Guide to Objective Chance', 'works' and 'Philosophy as a way of life'

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9 ideas

1. Philosophy / D. Nature of Philosophy / 6. Hopes for Philosophy
It is no longer possible to be a sage, but we can practice the exercise of wisdom [Hadot]
2. Reason / A. Nature of Reason / 2. Logos
The logos represents a demand for universal rationality [Hadot]
5. Theory of Logic / A. Overview of Logic / 2. History of Logic
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
The inferential role of a logical constant constitutes its meaning [Gentzen, by Hanna]
The logical connectives are 'defined' by their introduction rules [Gentzen]
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
Gentzen proved the consistency of arithmetic from assumptions beyond arithmetic [Gentzen, by Musgrave]
22. Metaethics / C. The Good / 3. Pleasure / b. Types of pleasure
The pleasure of existing is the only genuine pleasure [Hadot]
26. Natural Theory / D. Laws of Nature / 4. Regularities / b. Best system theory
Lewis later proposed the axioms at the intersection of the best theories (which may be few) [Mumford on Lewis]