Combining Philosophers

All the ideas for Augustin-Louis Cauchy, Diogenes (Apoll) and David H. Sanford

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14 ideas

1. Philosophy / B. History of Ideas / 2. Ancient Thought
1542 Diogenes of Apollonia was the last natural scientist [Diogenes of Apollonia, by Simplicius]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / k. Infinitesimals
18085 Values that approach zero, becoming less than any quantity, are 'infinitesimals' [Cauchy]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / l. Limits
18084 When successive variable values approach a fixed value, that is its 'limit' [Cauchy]
9. Objects / F. Identity among Objects / 7. Indiscernible Objects
489 Each thing must be in some way unique [Diogenes of Apollonia]
12. Knowledge Sources / A. A Priori Knowledge / 2. Self-Evidence
483 Start a thesis with something undisputable [Diogenes of Apollonia]
12. Knowledge Sources / B. Perception / 6. Inference in Perception
1544 Perception must be an internal matter, because we can fail to perceive when we are preoccupied [Diogenes of Apollonia, by Theophrastus]
14. Science / D. Explanation / 2. Types of Explanation / g. Causal explanations
8406 Not all explanations are causal, but if a thing can be explained at all, it can be explained causally [Sanford]
17. Mind and Body / E. Mind as Physical / 1. Physical Mind
24042 The older Diogenes said the soul is air, made of the smallest particles [Diogenes of Apollonia]
26. Natural Theory / A. Speculations on Nature / 2. Natural Purpose / a. Final purpose
5995 Diogenes of Apollonia offered the first teleological account of cosmology [Diogenes of Apollonia, by Robinson,TM]
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / c. Ultimate substances
484 Everything is ultimately a variation of one underlying thing [Diogenes of Apollonia]
488 Air is divine, because it is in and around everything, and arranges everything [Diogenes of Apollonia]
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / f. Ancient elements
486 Plants and animals can only come into existence if something fixes their species [Diogenes of Apollonia]
485 Things must retain their essential nature during change, or mixing would be impossible [Diogenes of Apollonia]
26. Natural Theory / C. Causation / 8. Particular Causation / c. Conditions of causation
8407 A totality of conditions necessary for an occurrence is usually held to be jointly sufficient for it [Sanford]