Combining Philosophers

All the ideas for Archimedes, Friedrich Schiller and Eustachius a Sancto Paulo

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5 ideas

6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry
Archimedes defined a straight line as the shortest distance between two points [Archimedes, by Leibniz]
     Full Idea: Archimedes gave a sort of definition of 'straight line' when he said it is the shortest line between two points.
     From: report of Archimedes (fragments/reports [c.240 BCE]) by Gottfried Leibniz - New Essays on Human Understanding 4.13
     A reaction: Commentators observe that this reduces the purity of the original Euclidean axioms, because it involves distance and measurement, which are absent from the purest geometry.
9. Objects / B. Unity of Objects / 2. Substance / c. Types of substance
Substances 'substand' (beneath accidents), or 'subsist' (independently) [Eustachius]
     Full Idea: It is proper to substance both to stretch out or exist beneath accidents, which is to substand, and to exist per se and not in another, which is to subsist.
     From: Eustachius a Sancto Paulo (Summa [1609], I.1.3b.1.2), quoted by Robert Pasnau - Metaphysical Themes 1274-1671 06.2
     A reaction: This reflects Aristotle wavering between 'ousia' being the whole of a thing, or the substrate of a thing. In current discussion, 'substance' still wavers between a thing which 'is' a substance, and substance being the essence.
9. Objects / C. Structure of Objects / 2. Hylomorphism / a. Hylomorphism
Prime matter is free of all forms, but has the potential for all forms [Eustachius]
     Full Idea: Everyone says that prime matter, considered in itself, is free of all forms and at the same time is open to all forms - or, that matter is in potentiality to all forms.
     From: Eustachius a Sancto Paulo (Summa [1609], III.1.1.2.3), quoted by Robert Pasnau - Metaphysical Themes 1274-1671 03.1
     A reaction: This is the notorious doctrine developed to support the hylomorphic picture derived from Aristotle. No one could quite figure out what prime matter was, so it faded away.
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
Beauty motivates morality, by harmonising feeling and reason [Schiller, by Pinkard]
     Full Idea: On Schiller's view, only beauty could shape or evince the necessary harmony between sensibility and reason (between inclination and duty) which provides the crucial motivation for the moral life.
     From: report of Friedrich Schiller (works [1794]) by Terry Pinkard - German Philosophy 1760-1860 06
     A reaction: Maybe. Reason should probably be drawn towards feelings which seem inspiring.
25. Social Practice / A. Freedoms / 5. Freedom of lifestyle
Schiller speaks obsessively of freedom throughout his works [Schiller, by Berlin]
     Full Idea: Schiller constantly speaks of spiritual freedom: freedom of reason, the kingdom of freedom, our free self, inner freedom, freedom of mind, moral freedom, the free intelligence - a very favourite phrase - holy freedom, the impregnable citadel of freedom.
     From: report of Friedrich Schiller (works [1794]) by Isaiah Berlin - The Roots of Romanticism
     A reaction: Kant's philosophy and his Kingdom of Ends are an obvious source for this, but I trace the sentiment back to 'Freeborn John' Lilburne during the English Civil War. The English, thanks to Voltaire, embodied freedom in the Enlightenment.