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All the ideas for 'Conspectus libelli (book outline)', 'works' and 'Fath and Love, or the King and Queen'

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7 ideas

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / k. Infinitesimals

18086	Weierstrass eliminated talk of infinitesimals [Weierstrass, by Kitcher]
	Full Idea: Weierstrass effectively eliminated the infinitesimalist language of his predecessors.
	From: report of Karl Weierstrass (works [1855]) by Philip Kitcher - The Nature of Mathematical Knowledge 10.6

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / l. Limits

18092	Weierstrass made limits central, but the existence of limits still needed to be proved [Weierstrass, by Bostock]
	Full Idea: After Weierstrass had stressed the importance of limits, one now needed to be able to prove the existence of such limits.
	From: report of Karl Weierstrass (works [1855]) by David Bostock - Philosophy of Mathematics 4.4
	A reaction: The solution to this is found in work on series (going back to Cauchy), and on Dedekind's cuts.

9. Objects / B. Unity of Objects / 1. Unifying an Object / b. Unifying aggregates

12699	A body would be endless disunited parts, if it did not have a unifying form or soul [Leibniz]
	Full Idea: Without soul or form of some kind, a body would have no being, because no part of it can be designated which does not in turn consist of more parts. Thus nothing could be designated in a body which could be called 'this thing', or a unity.
	From: Gottfried Leibniz (Conspectus libelli (book outline) [1678], A6.4.1988), quoted by Daniel Garber - Leibniz:Body,Substance,Monad 1
	A reaction: The locution 'soul or form' is disconcerting, and you have to spend some time with Leibniz to get the hang of it. The 'soul' is not intelligent, and is more like a source of action and response.

9. Objects / C. Structure of Objects / 2. Hylomorphism / d. Form as unifier

12700	Form or soul gives unity and duration; matter gives multiplicity and change [Leibniz]
	Full Idea: Substantial form, or soul, is the principle of unity and duration, matter is that of multiplicity and change
	From: Gottfried Leibniz (Conspectus libelli (book outline) [1678], A6.4.1398-9), quoted by Daniel Garber - Leibniz:Body,Substance,Monad 2
	A reaction: Leibniz was a fan of the unfashionable Aristotle, and tried to put a spin on his views consonant with contemporary Hobbesian mechanistic views. Oddly, he likes the idea that 'form' is indestructable, which I don't understand.

10. Modality / D. Knowledge of Modality / 2. A Priori Contingent

12736	If we understand God and his choices, we have a priori knowledge of contingent truths [Leibniz, by Garber]
	Full Idea: Insofar as we have some insight into how God chooses, we can know a priori the laws of nature that God chooses for this best of all possible worlds. In this way, it is possible to have genuine a priori knowledge of contingent truths.
	From: report of Gottfried Leibniz (Conspectus libelli (book outline) [1678], A6.4.1998-9) by Daniel Garber - Leibniz:Body,Substance,Monad 6
	A reaction: I think it would be doubtful whether our knowledge of God's choosings would count as a priori. How do we discover them? Ah! We derive God from the ontological argument, and his choosings from the divine perfection implied thereby.

17. Mind and Body / A. Mind-Body Dualism / 3. Panpsychism

12698	Every body contains a kind of sense and appetite, or a soul [Leibniz]
	Full Idea: I believe that there is in every body a kind of sense and appetite, or a soul.
	From: Gottfried Leibniz (Conspectus libelli (book outline) [1678], A6.4.2010), quoted by Daniel Garber - Leibniz:Body,Substance,Monad 1
	A reaction: Note that he never says that there is any intelligence present. This eventually becomes his monadology, but Leibniz is the most obvious post-Greek philosopher to flirt with panpsychism.

24. Political Theory / C. Ruling a State / 2. Leaders / b. Monarchy

19589	The whole point of a monarch is that we accept them as a higher-born, ideal person [Novalis]
	Full Idea: The distinguishing character of the monarchy lies precisely in the fact of belief in a higher-born person, of voluntary acceptance of an ideal person. I cannot choose a leader from among my peers.
	From: Novalis (Fath and Love, or the King and Queen [1798], 18)
	A reaction: Novalis was passionately devoted to the new king and queen of Prussia, only a few years after the French Revolution. This attitude seems to me unchanged among monarchists in present day Britain. Genetics has undermined 'higher-born'.