Combining Texts

All the ideas for 'Mahaprajnaparamitashastra', 'On the Syllogism IV' and 'Leibniz:Body,Substance,Monad'

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5 ideas

5. Theory of Logic / E. Structures of Logic / 6. Relations in Logic
De Morgan started the study of relations and their properties [De Morgan, by Walicki]
     Full Idea: De Morgan started the sustained interest in the study of relations and their properties.
     From: report of Augustus De Morgan (On the Syllogism IV [1859]) by Michal Walicki - Introduction to Mathematical Logic History D.1.1
De Morgan found inferences involving relations, which eluded Aristotle's syllogistic [De Morgan, by Hart,WD]
     Full Idea: There was a prejudice against relations (in favour of properties) but De Morgan and others that impeccable inferences turn on relations and elude Aristotle's syllogistic. Thus: All horses are animals. Hence, all heads of horses are heads of animals.
     From: report of Augustus De Morgan (On the Syllogism IV [1859]) by William D. Hart - The Evolution of Logic 4
     A reaction: This is actually an early example of modern analytic philosophy in action. You start with the inferences, and then work back to the ontology and the definition of concepts. But in pinning down such concepts, do we miss their full meaning?
7. Existence / C. Structure of Existence / 6. Fundamentals / c. Monads
Epicurean atomists say body is sensible, to distinguish it from space. [Garber]
     Full Idea: The Epicurean atomists also defined body in terms of the property of being sensible, in order to distinguish it from empty space, which is not sensible.
     From: Daniel Garber (Leibniz:Body,Substance,Monad [2009], 1)
     A reaction: This is a very illuminating bit of background, for those of us who have the knee-jerk reaction that monadology is barking mad.
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
The six perfections are giving, morality, patience, vigour, meditation, and wisdom [Nagarjuna]
     Full Idea: The six perfections are of giving, morality, patience, vigour, meditation, and wisdom.
     From: Nagarjuna (Mahaprajnaparamitashastra [c.120], 88)
     A reaction: What is 'morality', if giving is not part of it? I like patience and vigour being two of the virtues, which immediately implies an Aristotelian mean (which is always what is 'appropriate').
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / g. Atomism
Epicurean atoms are distinguished by their extreme hardness [Garber]
     Full Idea: In Epicurean atomism (of Cordemoy, for example) there is a world of basic things distinguished by virtue of their extreme hardness.
     From: Daniel Garber (Leibniz:Body,Substance,Monad [2009], 2)
     A reaction: Garber says that Leibniz espouses 'substantial atomism', which is different from this. Leibniz's atoms have active power, where these atoms just embody total resistance.