Combining Texts

All the ideas for 'works', 'works' and 'The Strangest Man'

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9 ideas

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]
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
Unlike us, the early Greeks thought envy was a good thing, and hope a bad thing [Hesiod, by Nietzsche]
27. Natural Reality / A. Classical Physics / 1. Mechanics / d. Gravity
Instead of gravitational force, we now have a pervasive gravitational field [Farmelo]
27. Natural Reality / B. Modern Physics / 2. Electrodynamics / d. Quantum mechanics
The Schrödinger waves are just the maths of transforming energy values to positions [Farmelo]
27. Natural Reality / B. Modern Physics / 4. Standard Model / c. Particle properties
Experiments show that fundamental particles of one type are identical [Farmelo]