Combining Texts

All the ideas for 'Frege's Theory of Numbers', 'A General Principle to Explain Laws of Nature' and 'Letters to Regius'

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5 ideas

1. Philosophy / D. Nature of Philosophy / 2. Invocation to Philosophy

19395	Philosophy is sanctified, because it flows from God [Leibniz]
	Full Idea: Philosophy is sanctified by having its streams flow from the fountain of God's attributes.
	From: Gottfried Leibniz (A General Principle to Explain Laws of Nature [1687], p.69)

6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure

17447	Parsons says counting is tagging as first, second, third..., and converting the last to a cardinal [Parsons,C, by Heck]
	Full Idea: In Parsons's demonstrative model of counting, '1' means the first, and counting says 'the first, the second, the third', where one is supposed to 'tag' each object exactly once, and report how many by converting the last ordinal into a cardinal.
	From: report of Charles Parsons (Frege's Theory of Numbers [1965]) by Richard G. Heck - Cardinality, Counting and Equinumerosity 3
	A reaction: This sounds good. Counting seems to rely on that fact that numbers can be both ordinals and cardinals. You don't 'convert' at the end, though, because all the way you mean 'this cardinality in this order'.

9. Objects / D. Essence of Objects / 15. Against Essentialism

12251	Substantial forms are not understood, and explain nothing [Descartes]
	Full Idea: Clearly no explanation can be given by these substantial forms for any natural action, since their defenders admit that they are occult and that they do not understand them themselves, ...so they explain nothing.
	From: René Descartes (Letters to Regius [1642], 1642.01), quoted by David S. Oderberg - Real Essentialism 267 n5
	A reaction: [Oderberg gives refs for attack by Locke and Hume, p.66] Descartes' target is Aristotle's hylomorphism. The problem seems to be understanding what Aristotle meant, which is much more than mere 'shape'. More like 'controlling principle'.

9. Objects / F. Identity among Objects / 1. Concept of Identity

19394	Inequality can be brought infinitely close to equality [Leibniz]
	Full Idea: Equality may be considered as an infinitely small inequality, and we may make inequality approach equality as much as we wish.
	From: Gottfried Leibniz (A General Principle to Explain Laws of Nature [1687], p.67)
	A reaction: An interesting response to David Lewis's brusque dismissal of the problem of identity, as all-or-nothing...end of story.

29. Religion / B. Monotheistic Religion / 4. Christianity / c. Angels

16772	An angelic mind would not experience pain, even when connected to a human body [Descartes, by Pasnau]
	Full Idea: Descartes points out that an angelic mind, even if causally connected to a human body, would not experience the same sort of bodily sensations; it would, instead, simply observe flesh being torn, like a piece of paper.
	From: report of René Descartes (Letters to Regius [1642], III:493) by Robert Pasnau - Metaphysical Themes 1274-1671 25.6
	A reaction: Does that mean that the angel could not have the experience even if it wanted to have it. So they can't pick up a cup either? So they can't make themselves known to us, even if they are desperate to? So the Annunciation never happened?