Combining Texts

All the ideas for 'fragments/reports', 'The New Organon' and 'works'

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10 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]
8. Modes of Existence / E. Nominalism / 1. Nominalism / a. Nominalism
Only individual bodies exist [Bacon]
9. Objects / C. Structure of Objects / 2. Hylomorphism / c. Form as causal
There are only individual bodies containing law-based powers, and the Forms are these laws [Bacon]
14. Science / B. Scientific Theories / 2. Aim of Science
Science must clear away the idols of the mind if they are ever going to find the truth [Bacon]
25. Social Practice / E. Policies / 5. Education / b. Education principles
Learned men gain more in one day than others do in a lifetime [Posidonius]
27. Natural Reality / D. Time / 1. Nature of Time / d. Time as measure
Time is an interval of motion, or the measure of speed [Posidonius, by Stobaeus]