Combining Texts

All the ideas for 'works', 'Gentzen's Analysis of First-Order Proofs' and 'The Origin of Forms and Qualities'

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20 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 / 1. Overview of Logic
Logic is based on transitions between sentences [Prawitz]
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives
Natural deduction introduction rules may represent 'definitions' of logical connectives [Prawitz]
5. Theory of Logic / H. Proof Systems / 4. Natural Deduction
In natural deduction, inferences are atomic steps involving just one logical constant [Prawitz]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
Descartes showed a one-one order-preserving match between points on a line and the real numbers [Descartes, by Hart,WD]
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 / B. Unity of Objects / 2. Substance / e. Substance critique
Descartes thinks distinguishing substances from aggregates is pointless [Descartes, 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]
12. Knowledge Sources / B. Perception / 3. Representation
Descartes said images can refer to objects without resembling them (as words do) [Descartes, by Tuck]
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]
16. Persons / F. Free Will / 4. For Free Will
We have inner awareness of our freedom [Descartes]
17. Mind and Body / A. Mind-Body Dualism / 2. Interactionism
Descartes discussed the interaction problem, and compared it with gravity [Descartes, by Lycan]
26. Natural Theory / A. Speculations on Nature / 1. Nature
Nature is devoid of thought [Descartes, by Meillassoux]
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]
26. Natural Theory / A. Speculations on Nature / 7. Later Matter Theories / c. Matter as extension
Matter can't just be Descartes's geometry, because a filler of the spaces is needed [Robinson,H on Descartes]