Combining Philosophers

All the ideas for Jenny Teichmann, Gerhard Gentzen and Robert Boyle

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23 ideas

2. Reason / D. Definition / 4. Real Definition
Essential definitions show the differences that discriminate things, and make them what they are [Boyle]
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]
5. Theory of Logic / H. Proof Systems / 4. Natural Deduction
Natural deduction shows the heart of reasoning (and sequent calculus is just a tool) [Gentzen, by Hacking]
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 / B. Properties / 1. Nature of Properties
Not only substances have attributes; events, actions, states and qualities can have them [Teichmann]
8. Modes of Existence / C. Powers and Dispositions / 1. Powers
Boyle attacked a contemporary belief that powers were occult things [Boyle, by Alexander,P]
8. Modes of Existence / C. Powers and Dispositions / 6. Dispositions / a. Dispositions
In the 17th century, 'disposition' usually just means the spatial arrangement of parts [Boyle, by Pasnau]
9. Objects / C. Structure of Objects / 2. Hylomorphism / a. Hylomorphism
Form is not a separate substance, but just the manner, modification or 'stamp' of matter [Boyle]
To cite a substantial form tells us what produced the effect, but not how it did it [Boyle]
12. Knowledge Sources / B. Perception / 2. Qualities in Perception / d. Secondary qualities
Boyle's term 'texture' is not something you feel, but is unobservable structures of particles [Boyle, by Alexander,P]
Boyle's secondary qualities are not illusory, or 'in the mind' [Boyle, by Alexander,P]
14. Science / D. Explanation / 1. Explanation / b. Aims of explanation
Explanation is generally to deduce it from something better known, which comes in degrees [Boyle]
14. Science / D. Explanation / 2. Types of Explanation / i. Explanations by mechanism
Explanation is deducing a phenomenon from some nature better known to us [Boyle]
14. Science / D. Explanation / 3. Best Explanation / b. Ultimate explanation
The best explanations get down to primary basics, but others go less deep [Boyle]
17. Mind and Body / A. Mind-Body Dualism / 2. Interactionism
Body-spirit interaction ought to result in losses and increases of energy in the material world [Teichmann]
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / g. Atomism
The corpuscles just have shape, size and motion, which explains things without 'sympathies' or 'forces' [Boyle, by Alexander,P]
26. Natural Theory / A. Speculations on Nature / 7. Later Matter Theories / b. Corpuscles
The corpuscular theory allows motion, but does not include forces between the particles [Boyle, by Alexander,P]
27. Natural Reality / G. Biology / 3. Evolution
I don't see how mere moving matter can lead to the bodies of men and animals, and especially their seeds [Boyle]
29. Religion / D. Religious Issues / 2. Immortality / b. Soul
The Soul has no particular capacity (in the way thinking belongs to the mind) [Teichmann]
No individuating marks distinguish between Souls [Teichmann]