Combining Philosophers

All the ideas for Proclus, Ferdinand Tnnies and Alexander Baumgarten

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6 ideas

14. Science / D. Explanation / 2. Types of Explanation / g. Causal explanations

13165	Geometrical proofs do not show causes, as when we prove a triangle contains two right angles [Proclus]
	Full Idea: Geometry does not ask 'why?' ..When from the exterior angle equalling two opposite interior angles it is shown that the interior angles make two right angles, this is not a causal demonstration. With no exterior angle they still equal two right angles.
	From: Proclus (Commentary on Euclid's 'Elements' [c.452], p.161-2), quoted by Paolo Mancosu - Explanation in Mathematics §5
	A reaction: A very nice example. It is hard to imagine how one might demonstrate the cause of the angles making two right angles. If you walk, turn left x°, then turn left y°, then turn left z°, and x+y+z=180°, you end up going in the original direction.

18. Thought / E. Abstraction / 1. Abstract Thought

9569	The origin of geometry started in sensation, then moved to calculation, and then to reason [Proclus]
	Full Idea: It is unsurprising that geometry was discovered in the necessity of Nile land measurement, since everything in the world of generation goes from imperfection to perfection. They would naturally pass from sense-perception to calculation, and so to reason.
	From: Proclus (Commentary on Euclid's 'Elements' [c.452]), quoted by Charles Chihara - A Structural Account of Mathematics 9.12 n55
	A reaction: The last sentence is the core of my view on abstraction, that it proceeds by moving through levels of abstraction, approaching more and more general truths.

21. Aesthetics / A. Aesthetic Experience / 1. Aesthetics

8063	Baumgarten founded aesthetics in 1750 [Baumgarten, by Tolstoy]
	Full Idea: Baumgarten founded aesthetics in the year 1750.
	From: report of Alexander Baumgarten (Aesthetica [1739]) by Leo Tolstoy - What is Art? Ch.2
	A reaction: He gave it a label, separated it off from the rest of philosophy, and made taste the main focus. The philosophy of art goes back to at least Plato's 'Republic' and 'Symposium'.

21. Aesthetics / B. Nature of Art / 2. Art as Form

8118	Beauty is an order between parts, and in relation to the whole [Baumgarten, by Tolstoy]
	Full Idea: Beauty is defined by Baumgarten as a correspondence, that is, an order of parts in their mutual relations to each other and in their relation to the whole.
	From: report of Alexander Baumgarten (Aesthetica [1739]) by Leo Tolstoy - What is Art? Ch.3
	A reaction: This may be one aspect of what is beautiful, but rather more than a nice arrangement is probably needed for art. We must distinguish flower arranging from poetic drama. Some masterpieces are rather messily arranged.

22. Metaethics / C. The Good / 1. Goodness / b. Types of good

8117	Perfection comes through the senses (Beauty), through reason (Truth), and through moral will (Good) [Baumgarten, by Tolstoy]
	Full Idea: For Baumgarten, Beauty is the Perfect (the Absolute), recognised through the senses; Truth is the Perfect perceived through reason; Goodness is the Perfect reached by moral will.
	From: report of Alexander Baumgarten (Aesthetica [1739]) by Leo Tolstoy - What is Art? Ch.3
	A reaction: At last, after many years of searching, I have found the origin of that great trio of ideals: Beauty, Goodness and Truth. Tolstoy sneers at them, but a person could do a lot worse than spending their lives trying to promote them.

24. Political Theory / D. Ideologies / 7. Communitarianism / a. Communitarianism

7492	Early societies are based on community, and modern societies on association [Tönnies, by Watson]
	Full Idea: Pre-modern societies are based on community (Gemeinschaft), whereas modern societies are based on association (Gesellschaft).
	From: report of Ferdinand Tönnies (Community and Association [1887]) by Peter Watson - Ideas Ch.32
	A reaction: A very interesting distinction. The modern term implies contracts, and it strikes me as an extremely accurate description of modern liberal democracies. There is very little sense of community, but a strong sense of innumerable contracts that bind us.