Combining Philosophers

All the ideas for Augustin-Louis Cauchy, Pierre Gassendi and John Richardson

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13 ideas

1. Philosophy / E. Nature of Metaphysics / 3. Metaphysical Systems
Metaphysics aims at the essence of things, and a system to show how this explains other truths [Richardson]
Metaphysics needs systems, because analysis just obsesses over details [Richardson]
Metaphysics generalises the data, to get at the ontology [Richardson]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / k. Infinitesimals
Values that approach zero, becoming less than any quantity, are 'infinitesimals' [Cauchy]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / l. Limits
When successive variable values approach a fixed value, that is its 'limit' [Cauchy]
8. Modes of Existence / B. Properties / 8. Properties as Modes
Modes of things exist in some way, without being full-blown substances [Gassendi]
If matter is entirely atoms, anything else we notice in it can only be modes [Gassendi]
14. Science / D. Explanation / 2. Types of Explanation / j. Explanations by reduction
We observe qualities, and use 'induction' to refer to the substances lying under them [Gassendi]
17. Mind and Body / A. Mind-Body Dualism / 2. Interactionism
Things must have parts to intermingle [Gassendi]
24. Political Theory / A. Basis of a State / 1. A People / a. Human distinctiveness
Humans dominate because, unlike other animals, they have a synthesis of conflicting drives [Richardson]
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / g. Atomism
Atoms are not points, but hard indivisible things, which no force in nature can divide [Gassendi]
How do mere atoms produce qualities like colour, flavour and odour? [Gassendi]
26. Natural Theory / C. Causation / 7. Eliminating causation
A mind that could see cause and effect as a continuum would deny cause and effect [Richardson]